bluuebunny/crossref_metadata_2025_split huggingface dataset:
Functional Equations and μ-Spherical Functions
Authors: Akkouchi Mohamed , Bouikhalene Belaid , Elqorachi Elhoucien 
Published: February 2021

Abstract
We will study the properties of solutions 𝑓, {𝑔𝑖}, {ℎ𝑖} ∈ 𝐶𝑏(𝐺) of the functional equation

where 𝐺 is a Hausdorff locally compact topological group, 𝐾 a compact subgroup of morphisms of 𝐺, χ a character on 𝐾, and μ a 𝐾-invariant measure on 𝐺. This equation provides a common generalization of many functional equations (D'Alembert's, Badora's, Cauchy's, Gajda's, Stetkaer's, Wilson's equations) on groups.
First we obtain the solutions of Badora's equation [Aequationes Math. 43: 72–89, 1992] under the condition that (𝐺,𝐾) is a Gelfand pair. This result completes the one obtained in [Badora, Aequationes Math. 43: 72–89, 1992] and [Elqorachi, Akkouchi, Bakali and Bouikhalene, Georgian Math. J. 11: 449–466, 2004]. Then we point out some of the relations of the general equation to the matrix Badora functional equation and obtain explicit solution formulas of the equation in question for some particular cases. The results presented in this paper may be viewed as a continuation and a generalization of Stetkær's, Badora's, and the authors' works.
On a Generalization of Partial Isometries in Banach Spaces
Authors: Taoudi Mohamed Aziz 
Published: February 2021

Abstract
This paper is concerned with the definition and study of semipartial isometries on Banach spaces. This class of operators, which is a natural generalization of partial isometries from Hilbert to general Banach spaces, contains in particular the class of partial isometries recently introduced by M. Mbekhta [Acta Sci. Math. (Szeged) 70: 767–781, 2004]. First of all, we establish some basic properties of semi-partial isometries. Next, we introduce the notion of pseudo Moore–Penrose inverse as a natural generalization of the Moore–Penrose inverse from Hilbert spaces to arbitrary Banach spaces. This concept is used to carry out a classification for semi-partial isometries in Banach spaces and to provide a characterization for Hilbert spaces.
A New Approach to the Sawyer and Sinnamon Characterizations of Hardy's Inequality for Decreasing Functions
Authors: Johansson Maria , Persson Lars-Erik , Wedestig Anna 
Published: February 2021

Abstract
Some Hardy type inequalities for decreasing functions are characterized by one condition (Sinnamon), while others are described by two independent conditions (Sawyer). In this paper we make a new approach to deriving such results and prove a theorem, which covers both the Sinnamon result and the Sawyer result for the case where one weight is increasing. In all cases we point out that the characterizing condition is not unique and can even be chosen among some (infinite) scales of conditions.
Convergence of the Ishikawa Iterates for Multi-Valued Mappings in Convex Metric Spaces
Authors: Ćirić Ljubomir B. , Nikolić Nebojša T. 
Published: February 2021

Abstract
Let (𝑋, 𝑑) be a convex metric space, 𝐶 be a closed and convex subset of 𝑋 and let 𝐵(𝐶) be the family of all nonempty bounded subsets of 𝐶. In this paper some results are obtained on the convergence of the Ishikawa iterates associated with a pair of multi-valued mappings 𝑆,𝑇 : 𝐶 → 𝐵(𝐶) which satisfy condition (2.1) below.
Large Time Behavior of Solutions to One Nonlinear Integro-Differential Equation
Authors: Jangveladze Temur , Kiguradze Zurab 
Published: February 2021

Abstract
Large time behavior of solutions to the nonlinear integro-differential equation associated with the penetration of a magnetic field into a substance is studied. The rate of convergence is given, too. Dirichlet boundary conditions with homogeneous data are considered.
A Note on the One-Side Exact Boundary Observability for Quasilinear Hyperbolic Systems
Authors: Li Tatsien , Rao Bopeng , Wang Zhiqiang 
Published: February 2021

Abstract
The known theory on the one-side exact boundary observability for first order quasilinear hyperbolic systems requires that the unknown variables are suitably coupled or satisfy the Group Property in boundary conditions on the non-observation side (see [Tatsien, C. R. Math. Acad. Sci. 342: 937–942, 2006]–[Tatsien, ESAIM Control Optim. Calc. Var.], [Russell, SIAM Rev. 20: 639–739, 1978]). In this paper we illustrate, with an inspiring example, that the one-side exact boundary observability can be realized by means of a suitable coupling of the unknown variables in quasilinear hyperbolic system itself instead of in boundary conditions. Moreover, an implicit duality between the one-side exact boundary controllability and one-side exact boundary observability is also revealed in this situation.
On Some Combinatorial Problems Concerning Geometrical Realizations of Finite and Infinite Families of Sets
Authors: Kharazishvili Alexander , Tetunashvili Tengiz 
Published: February 2021

Abstract
A version of the precise definition of Euler–Venn diagram for a given family of subsets of a universal set is presented. Certain geometrical properties of such diagrams are discussed and close connections with purely combinatorial problems and with the theory of convex sets are indicated. In particular, some geometrical realizations of uncountable independent families of sets are considered.
Rectifiable and Unrectifiable Oscillations for a Generalization of the Riemann–Weber Version of Euler Differential Equation
Authors: Pašić Mervan 
Published: February 2021

Abstract
The following generalization

(for α = 2 we suppose that β = 2 and λ > 1/4), of the Riemann–Weber version of Euler differential equation is introduced and it is considered together with a suitable boundary layer condition depending on α near 𝑥 = 0. It is shown that this problem is rectifiable (resp., unrectifiable) oscillatory on (0, 𝑏) provided α ∈ [2, 4) (resp., α ≥ 4). It is a kind of geometrical oscillations on (0, 𝑏) for which the finite (resp., infinite) length of the graphs of all its solutions is proposed.
Another Version of Fuglede–Putnam Theorem
Authors: Bakir Aissa Nasli , Mecheri Salah 
Published: February 2021

Abstract
In [Yoshino, Proc. Amer. Math. Soc. 95: 571–572, 1985] the author proved that for a 𝑀-hyponormal operator 𝐴* and for a dominant operator 𝐵, 𝐶𝐴 = 𝐵𝐶 implies 𝐶𝐴* = 𝐵*𝐶. In the case where 𝐴* and 𝐵 are normal, this result is known as the Fuglede–Putnam theorem. In this paper, we will extend this result to the case in which 𝐴 is an injective (𝑝, 𝑘)-quasihyponormal operator and 𝐵* is a dominant operator. We also show that the same result remains valid for (𝑝, 𝑘)-quasihyponormal and log-hyponormal operators.
On the (𝐶, α)-Means of Quadratic Partial Sums of Double Walsh–Kaczmarz–Fourier Series
Authors: Gát Gyäorgy , Nagy Károly 
Published: February 2021

Abstract
The main aim of this paper is to prove that the (𝐶, α)-means of quadratic partial sums of double Walsh–Kaczmarz–Fourier series are of weak type (1, 1) and of type (𝑝, 𝑝) for all 1 < 𝑝 ≤ ∞ (0 < α < 1). Moreover, these (𝐶, α)-means converge to 𝑓 almost everywhere for any integrable function 𝑓.
Nonlinear Three-Point Boundary Value Problems for a Class of Impulsive Functional Differential Equations
Authors: Chen Guoping , Shen Jianhua 
Published: February 2021

Abstract
This paper is concerned with the existence of extreme solutions of nonlinear three-point boundary value problems for a class of first order impulsive functional differential equations. In the presence of a lower solution α and an upper solution β with the classical condition α ≤ β or the reversed ordering condition β ≤ α, some sufficient conditions for the existence of extreme solutions are obtained by using the method of upper and lower solutions coupled with the monotone iterative technique.
Bounded and Vanishing at Infinity Solutions of Nonlinear Differential Systems
Authors: Kiguradze Ivan 
Published: February 2021

Abstract
For systems of nonlinear nonautonomous ordinary differential equations, the conditions, optimal in a certain sense, are established, which guarantee the solvability and well-posedness of the problem on bounded solutions, the vanishing at infinity of all bounded solutions and the global asymptotic stability of a trivial solution.
Nonbounding 𝑛-C.E. 𝑄-Degrees
Authors: Omanadze Roland 
Published: February 2021

Abstract
We prove that for any noncomputable c.e. set 𝐴 there is a non-computable c.e. set 𝐵 ⊆ 𝐴 such that for every noncomputable c.e. set 𝑊 we have 𝑊 ≰⃥ 𝑄𝐴 – 𝐵 < 𝑄𝐴. We show that if c.e. 𝑄-degrees 𝐚 and 𝐛 form a minimal pair in the c.e. 𝑄-degrees, then 𝐚 and 𝐛 form a minimal pair in the 𝑄-degrees.
Props in model categories and homotopy invariance of structures
Authors: Fresse Benoit 
Published: February 2021

Abstract
We prove that any category of props in a symmetric monoidal model category inherits a model structure. We devote an appendix, about half the size of the paper, to the proof of the model category axioms in a general setting. We need the general argument to address the case of props in topological spaces and dg-modules over an arbitrary ring, but we give a less technical proof which applies to the category of props in simplicial sets, simplicial modules, and dg-modules over a ring of characteristic 0.
We apply the model structure of props to the homotopical study of algebras over a prop. Our goal is to prove that an object 𝑋 homotopy equivalent to an algebra 𝐴 over a cofibrant prop P inherits a P-algebra structure so that 𝑋 defines a model of 𝐴 in the homotopy category of P-algebras. In the differential graded context, this result leads to a generalization of Kadeishvili's minimal model of 𝐴∞-algebras.
On fusion frames in Banach spaces
Authors: Kaushik Shiv K. , Kumar Varinder 
Published: February 2021

Abstract
A necessary and sufficient condition for a complete sequence of subspaces to be a fusion Banach frame for E is given. Also, we introduce fusion Banach frame sequences and give a characterization for a complete sequence of subspaces of E to be a fusion Banach frame for E in terms of fusion Banach frame sequences. Finally, along with other results, we characterize fusion Banach frames in terms of Banach frames.
Universal truncation error upper bounds in sampling restoration
Authors: Olenko Andriy Ya. , Pogány Tibor K. 
Published: February 2021

Abstract
Universal (pointwise uniform and time shifted) truncation error upper bounds are presented for the Whittaker–Kotel'nikov–Shannon sampling restoration sum for Bernstein function classes , q > 1, d ∈ ℕ, when the decay rate of the sample functions is unknown. The case of regular sampling is discussed. Extremal properties of the related series of sinc functions are investigated.
On nonclassical problems for first-order evolution equations
Authors: Avalishvili Gia , Avalishvili Mariam 
Published: February 2021

Abstract
The present paper deals with nonclassical initial-boundary value problems for parabolic equations and systems and their generalizations in abstract spaces. Nonclassical problems with nonlocal initial conditions for an abstract first-order evolution equation with time-dependent operator are considered, the existence and uniqueness results are proved and the algorithm of approximation of nonlocal problems by a sequence of classical problems is constructed. Applications of the obtained general results to initial-boundary value problems for parabolic equations and systems are considered.
The refined direct and converse inequalities of trigonometric approximation in weighted variable exponent Lebesgue spaces
Authors: Akgün Ramazan , Kokilashvili Vakhtang 
Published: February 2021

Abstract
Refined direct and converse theorems of trigonometric approximation are proved in the variable exponent Lebesgue spaces with weights satisfying some Muckenhoupt Ap
-condition. As a consequence, the refined versions of Marchaud and its converse inequalities are obtained.
UPDATE ON SUNFLOWER BROOMRAPESITUATION IN SPAIN: RACIAL STATUS AND SUNFLOWER BREEDING FOR RESISTANCE / ACTUALIZACIÓN DE LA SITUACION DEL JOPO DE GIRASOL EN ESPAÑA: STATUS RACIAL Y MEJORA DEL GIRASOL PARA RESISTENCIA / SITUATION DE L’OROBANCHE ET DU TOURNESOL EN ESPAGNE: RACES ET SÉLECTION POUR LA RÉSISTANCE
Authors: Melero-Vara J.M. , Domínguez J. , Fernández-Martínez J.M. 
Published: February 2021

SUMMARY
A review of the racial situation of Orobanche cumana in Spain and of several studies on sunflower resistance to broomrape is presented. In the nineties, populations of O.cumana attacking sunflower crops in Spain have evolved first towards the increase in frequency of race B simultaneous to the decrease of race A. Later, race E has appeared with increasing frequency. However, the subsequent change to resistant hybrids carrying the Or5 gene has prompted the recent appearance of a new race (race F) that overcomes this resistance gene, and is expanding mainly in southern Spain. Collections of cultivated P.I. accessions tested for resistance to races E or F indicated a low frequency of entries resistant or segregating for resistance. A low frequency of resistance was also observed in accessions of wild annual species. Among 18 species, only H.agrestis and H.anomalus showed full resistance to both races, whereas H.debilis ssp. cucumerifolius and H.exilis segregated. Lines breeding true for resistance, derived from H.anomalus, H.exilis and H.debilis have been produced. In contrast, inoculation of races E and F to wild perennials resulted in complete resistance in 74% of the species, and segregation for resistance to race F in 11%. The transference of resistance from wild perennial species into cultivated sunflower is, however, much more difficult than that of annuals. Embryo rescue and chromosome doubling techniques were often required. Although inheritance studies indicated dominance and one single gene involved in the resistance to races A and E in most crosses, two dominant genes, epistatic interactions and reversal in the dominance were observed in some cases.
GENETICS OF ISOZYMES AND ANALYSIS OF ISOZYMES LINKAGE AND MORPHOLOGICAL LOCI IN SUNFLOWER (Helianthus annuus L.) / GENETICA DE ISOFERMENTOS Y EL ACOMPLAMIENTO DE LÓCUSES MORFOLOGICOS E ISOFERMENTICOS EN GIRASOL / GENETIQUE DES ISOFERMENTS ET LIAISON DES LOCUS MORPHOLOGIQUES ET CEUX-CI D’ISOFERMENTS AU TOURNESOL
Authors: Kirichenko V.V. , Popov V.N. 
Published: February 2021

SUMMARY
The genetics of anodal esterase (Est), cathodal esterase (cEst), cathodal acid phosphatase (cAcp) and malate dehydrogenase (Mdh) has been studied in mature seeds and leaves (genetics of cAcp and Mdh has not been studied in leaves) of sunflower (Helianthus annuus L.). A total of ten loci (four loci of anodal esterase, two loci of cathodal esterase, three loci of malate dehydrogenase and one locus of cathodal acid phosphatase) have been identified and described. Five esterase loci (Est1, Est2, Est3, Est4, cEst5), three malate dehydrogenase loci and one locus of cathodal acid phosphatase are expressed in seeds. Three esterase loci (Est2, cEst5 and cEst6) are expressed in leaves. The analysis of linkage between these loci has been made. Two linkage groups have been found. The sequence of the loci in the first linkage group was Mdh2-Est1- Est2-Est3-cEst5. In the second linkage group it was Est4-cAcp1. Linkages have been analyzed between three isoenzymatic loci expressed in leaves and between two loci controlling morphological traits (branched stem and male fertility restoration). The linkage between morphological traits and isoenzymatic loci has not been revealed. It has been revealed in Br-Rf pair.
YIELD PERFORMANCE, HERITABILITY AND INTERRELATIONSHIP IN SOME QUANTITATIVE TRAITS IN SUNFLOWER / RENDIMIENTO, HEREDABILIDAD Y LAS INTERRELACIONES DE CIERTAS CARACTERISTICAS CUANTITATIVAS DEL GIRASOL / RENDEMENT, HÉRIDITÉ ET INTERRELATIONS DE CERTAINS TRAITS QUANTITATIFS DU TOURNESOL
Authors: Khan Ayub 
Published: February 2021

SUMMARY
Yield performance, heritability and trait correlation were studied in 20 sunflower genotypes. Hybrid SF-100 produced the highest seed yield of 3669 kg ha-1 followed by NK-265 and Gloriasol with 3289 and 3264 kg ha-1, respectively. Heritability (broad sense) values ranged from -5.58% in seed per capitulum to 98.72 for 50% flower. 100-achene weight, 1st flower, complete flowering, maturity, and oil content showed high heritability values of 98.65%, 98.56%, 98.38%, 96.03% and 95.72%, respectively. Seed yield was positively correlated with all traits studied. Path coefficient analysis revealed that first flower had the highest positive direct effect on seed yield followed by seed per capitulum, 100-achene weight complete flower, and head diameter, while 50% flower had the greatest negative direct effect on seed yield.
Effect of Microwave Heating Conditions on the Preparation of High Surface Area Activated Carbon from Waste Bamboo
Authors: Wu Jian , Hongying Xia  , Zhang Libo , Xia Yi , Peng Jinhui , Wang Shixing , Zheng Zhaoqiang , Zhang Shengzhou 
Published: February 2021

Abstract
The present study reports the effect of microwave power and microwave heating time on activated carbon adsorption ability. The waste bamboo was used to preparing high surface area activated carbon via microwave heating. The bamboo was carbonized for 2 h at 600°C to be used as the raw material. According to the results, microwave power and microwave heating time had a significant impact on the activating effect. The optimal KOH/C ratio of 4 was identified when microwave power and microwave heating time were 700 W and 15 min, respectively. Under the optimal conditions, surface area was estimated to be 3441 m2/g with pore volume of 2.093 ml/g and the significant proportion of activated carbon was microporous (62.3%). The results of Fourier transform infrared spectroscopy (FTIR) were illustrated that activated carbon surface had abundant functional groups. Additionally the pore structure is characterized using Scanning Electron Microscope (SEM).
Description of Grain Refinement by Dynamic Recrystallization Under Hot Compressions for As-Extruded 3Cr20Ni10W2 Heat-Resistant Alloy
Authors: Quan Guo-Zheng , Mao An , Zou Zhen-Yu , Luo Gui-Chang , Liang Jian-Ting 
Published: February 2021

Abstract
The dynamic recrystallization (DRX) behavior of as-extruded 3Cr20Ni10W2 heat-resistant alloy was investigated by hot compressions with a fixed height reduction of 60% over a temperature range from 1,203 to 1,403 K and a strain rate range from 0.01 to 10 s−1. Results show that DRX occurs more easily at lower temperatures and higher strain rates, the stress level increases significantly with the increase of deformation temperature or the decrease of strain rate. Under such wide range of deformation conditions the flow stress evolution generally indicates two characteristics: work hardening (WH) followed by DRX, or by dynamic recovery (DRV). The variation of the average size of grains refined by DRX behavior in the alloy is characterized by linking the deformation conditions during hot compression process. At a fixed temperature, the average grain size linearly decreases with increasing strain rate in log scale. At a lower strain rate, the average grain size rapidly increases with increasing temperature, while it remains almost constant at strain rate of 10 s−1. At a higher strain rate, grain size data sets tend to be closer to the average size value, which indicates that as strain rate increases, the microstructures become more and more uniform. The effects of the temperatures and strain rates on the average grain size can be represented by Zener–Hollomon parameter, Z, and the relationships between the average grain size and Z parameter can be described as a nonlinear equation, which indicates that the average grain size decreases with increasing Z parameter. On the plot of average grain size

D
A

$${D_A}$$

–

l
n

Z

$${\rm{ln}}\,Z$$

, the regions corresponding to DRV (

l
n

Z

≤

77.9

$${\rm{ln}}\ Z\,\le \,77.9$$

) and DRX (

l
n

Z

>

77.9

$${\rm{ln}}\ Z\,\gt \,77.9$$

) were clarified clearly.
Study on Evolution of Ti-containing Intermetallic Compounds in Alloy 2618-Ti during Homogenization
Authors: Wang Jianhua , Liu Tingting , Liu Ya , Wu Changjun , Su Xuping 
Published: February 2021

Abstract
Dispersive Al3Ti particles introduced into alloy 2618-Ti are enclosed gradually by ternary Al18Mg3Ti2 phase during homogenization, which can be described as a “peritectic reaction”. This reaction is sensitive to homogenization temperature and time within 24 h but not so sensitive to homogenization time after 24 h because of its special growth pattern. The evolution of the intermetallic compounds during homogenization process of alloy 2618-Ti is further confirmed by means of diffusion couple of (Al-25Mg)/(Al-10Ti). After homogenization, much Al3Ti particles coexist with Al18Mg3Ti2 which depends on the composition of Al-Mg-Ti system and only a few single Al18Mg3Ti2 appear. The occurrence of single Al18Mg3Ti2 phase, within which Al3Ti disappears, can be attributed to the local fluctuation of alloy compositions.
Bosnian Constitutional Court: Unconstitutionality of the ‘Day of the Republic’
Authors: Karahodžić Mirha 
Published: February 2021

Abstract
In its decision U 3/13 from 26 November 2015 the Bosnian Constitutional Court found on the request of a Member of the Presidency of Bosnia and Herzegovina that Article 3 (b) of the Law on Holidays of the Republika Srpska concerning the 9 January as ‘Day of the Republic’ is not in conformity with Article I (2) of the Constitution of Bosnia and Herzegovina, Article II (4) of the Constitution of Bosnia and Herzegovina in conjunction with Article 1 (1) and Article 2 (a) and (c) of the International Convention on the Elimination of All Forms of Racial Discrimination, and Article 1 of Protocol No 12 to the European Convention for the Protection of Human Rights and Fundamental Freedoms. The Constitutional Court ordered the National Assembly of the Republika Srpska to harmonize Article 3 (b) of the Law on Holidays of the Republika Srpska with the Constitution within a time limit of six months from the date of delivery of the decision and to inform the Constitutional Court of the measures taken to enforce the Decision.
On the Relationship between International Law and International Constitutionalism
Authors: Schauer Frederick 
Published: February 2021

Abstract
In some circles the idea of international constitutionalism, or international constitutional law, appears to provoke a considerable and perhaps unexpected degree of resistance, and indeed animosity. My goal on this occasion is to try to figure out why this attitude of scorn might exist, and in the process also to say something about the relationship between international law and international constitutionalism.
Optimization of Ohmic Heating of Fish Using Response Surface Methodology
Authors: Kumar Vishal , Rajak Dinesh , Alok  , Jha Ajay Kumar , Sharma P. D. 
Published: February 2021

Abstract
Optimization of process variables for ohmic heating (OH) of fish steaks was done by response surface methodology according to Box–Behnken design. The low and high levels of the variables were 3 and 7 min for processing time; 55 and 75 V for applied voltage and 10 and 15 mm for product thickness. Responses studied comprised colour, temperature, hardness, water activity and organoleptic score. It was found that effects of time and applied voltage were significant on all responses. Optimum conditions (desirability = 0.820) obtained by numerical optimization were processing time, 5.75 min; voltage, 75 V and product thickness, 14.4 mm to achieve maximum colour variation, temperature and organoleptic score and lower hardness and water activity. Corresponding to the optimum conditions, the predicted value for temperature was 71.88°C, colour 49.85, hardness 1.125 kg, water activity 0.772 and overall acceptability 7.891.