discrete time credibilistic processes construction and convergences in this paper we discuss a method of constructing a credibilistic process which is a family of fuzzy variables on credibility space applying the extension theorem in credibility theory the finite or infinite horizon credibilistic process is made up from a family of credibilistic kernels also for the markov case convergence theorems are given and credibilistic risk models for reward processes are considered whose risk is completed by the recursive equation

on the existence and nonexistence of positive solutions for nonlinear sturm liouville boundary value problems abstract in this paper the existence and nonexistence results of positive solutions are obtained for sturm liouville boundary value problem p x u q x u f x u x 0 1 a u 0 b p 0 u 0 0 c u 1 d p 1 u 1 0 where p c 1 0 1 q c 0 1 p x 0 q x 0 for x 0 1 f c 0 1 r a b c d 0 are constants and satisfy a b c d 0 the discussion is based on the positivity estimation for the green s function of associated linear boundary value problem and the fixed point index theory in cones

forced vibrations of superquadratic hamiltonian systems on etudie l existence des solutions t periodiques ter t 0 du systeme hamiltonien suivant z gh z f t ou g est la matrice asymetrique standard

on multiple fixed sign solutions of a discrete system with hermite boundary conditions abstract we consider the discrete system m u i k p i k u 1 k u 2 k u n k k 0 1 n 1 i n together with hermite boundary conditions j u i k 0 j 0 m 1 1 r 1 i n where r 2 m 1 for 1 r 1rm m and k s are integers such that 0 k1

nagumo type existence results of sturm liouville bvp for impulsive differential equations abstract in this paper the method of upper and lower solutions and the schauder degree theory are employed in the study of sturm liouville boundary value problems for second order impulsive differential equations we obtain the existence of at least three solutions to the problem under the assumption that the nonlinear term f satisfies a nagumo condition with respect to the first order derivative

positive periodic solutions for nonlinear difference equations with periodic coefficients abstract we prove the existence of positive solutions of second order nonlinear difference equations on a finite discrete segment with periodic boundary conditions obtained results yield positive periodic solutions of the equation on the whole discrete axis provided that the coefficients are periodic

an operator inequality abstract for hilbert space operators with s invertible hermitian it is proved that sts 1 s 1 ts 2 t

expected value of fuzzy variable and fuzzy expected value models this paper will present a novel concept of expected values of fuzzy variables which is essentially a type of choquet integral and coincides with that of random variables in order to calculate the expected value of general fuzzy variable a fuzzy simulation technique is also designed finally we construct a spectrum of fuzzy expected value models and integrate fuzzy simulation neural network and genetic algorithms to produce a hybrid intelligent algorithm for solving general fuzzy expected value models

a note on the existence of multiple fixed points for multivalued maps with applications abstract in this paper we discuss the existence of multiple fixed points for multivalued maps our fixed point results automatically lead to new existence principles for integral inclusions

existence and multiplicity of solutions to 2mth order ordinary differential equations abstract in this paper the existence and multiplicity of solutions are obtained for the 2mth order ordinary differential equation two point boundary value problems 1 m u 2 m t i 1 m 1 m i a i u 2 m i t f t u t for all t 0 1 subject to dirichlet neumann mixed and periodic boundary value conditions respectively where f is continuous a i r for all i 1 2 m since these four boundary value problems have some common properties and they can be transformed into the integral equation of form u i 1 m a i t i u t m f u we firstly deal with this nonlinear integral equation by using the strongly monotone operator principle and the critical point theory we establish some conditions on f which are able to guarantee that the integral equation has a unique solution at least one nonzero solution and infinitely many solutions furthermore we apply the abstract results on the integral equation to the above four 2mth order two point boundary problems and successfully resolve the existence and multiplicity of their solutions

multiple solutions of semilinear elliptic problems in a ball in this paper lower bounds for the number of solutions of semilinear elliptic problems in a ball of rn are given its hypotheses are only related to the behavior of the nonlinearities at and at 0 global assumptions are never made for example oddness is never required for the proof of multiplicity results

twin monotone positive solutions to a singular nonlinear third order differential equation abstract this paper discusses the existence of at least one or two nondecreasing positive solutions for the following singular nonlinear third order differential equation x t t f t x t 0 a t b x a x a x b 0 where 0 is a parameter c a b r f c a b 0 r t may be singular at t a b and f t s may be singular at s 0 green s function and the fixed point theorem of cone expansion and compression type are utilized to illustrate the results four nontrivial examples are included

multiple positive solutions of some boundary value problems abstract we study the existence of multiple positive solutions of the equations u t u subject to linear boundary conditions we show that there are at least two positive solutions if t u is superlinear at one end point zero or infinity and sublinear at the other applications of these results are provided to yield multiple positive solutions of some elliptic boundary value problems on an annulus

infinitely many radially symmetric solutions for a quasilinear elliptic problem in a ball the authors improve the results of struwe under the hypothesis that f ismerely a locally lipschitz function they are able to deal with cases wherethe growth of f exceeds the sobolev limit exponent in fact their resultssuggest that it is sufficient to have the growth conditions only for u 0 orfor u 0 oru 0 0 our aim here is to extend the results of castro and kurepa to theproblem e

positive solution for singular boundary value problems abstract a sufficient condition for the existence of positive solutions of the nonlinear boundary value problem u t f t u t 0 0 u 0 u 1 0 is constructed where f 0 1 0 0 is continuous f t u is locally lipschitz continuous and f t u u is strictly decreasing in u 0 for each t 0 1

credibility based chance constrained integer programming models for capital budgeting with fuzzy parameters in this paper we discuss a problem of capital budgeting in a fuzzy environment two types of models are proposed using credibility to measure confidence level since the proposed optimization problems are difficult to solve by traditional methods a fuzzy simulation based genetic algorithm is applied two numerical experiments demonstrate the effectiveness of the proposed algorithm

multiple positive solutions for nonlinear m point boundary value problems in this paper we consider the existence and multiplicity of positive solutions for the m boundary value problems p t u q t u f t u 0 0

multiple positive solutions to elliptic boundary blow up problems abstract we prove the existence of multiple positive radial solutions to the sign indefinite elliptic boundary blow up problem u a x a x g u 0 x 1 u x x 1 where g is a function superlinear at zero and at infinity a and a are the positive negative part respectively of a sign changing function a and 0 is a large parameter in particular we show how the number of solutions is affected by the nodal behavior of the weight function a the proof is based on a careful shooting type argument for the equivalent singular ode problem as a further application of this technique the existence of multiple positive radial homoclinic solutions to u a x a x g u 0 x r n is also considered

three positive solutions for the one dimensional p laplacian in this paper nonlinear two point boundary value problems with p laplacian operators subject to dirichlet boundary condition and nonlinear boundary conditions are studied we show the existence of three positive solutions by the five functionals fixed point theorem

on the existence of positive solutions for semilinear elliptic equations in the annulus abstract we study the existence of positive radial solutions of u g x u 0 in annuli with dirichlet dirichlet neumann boundary conditions we prove that the problems have positive radial solutions on any annulus if is sublinear at 0 and

relations among convergence concepts of uncertain sequences uncertainty theory is a generalization of probability theory and credibility theory the purpose of this paper is to investigate various convergence concepts of uncertain sequences in uncertainty spaces sufficient and necessary conditions for convergence of uncertain sequences are given the relations among various convergence concepts of uncertain sequences are established

fuzzy sets as a basis for a theory of possibility the theory of possibility described in this paper is related to the theory of fuzzy sets by defining the concept of a possibility distribution as a fuzzy restriction which acts as an elastic constraint on the values that may be assigned to a variable more specifically if f is a fuzzy subset of a universe of discourse u u which is characterized by its membership function f then a proposition of the form x is f where x is a variable taking values in u induces a possibility distribution tx which equates the possibility of x taking the value u to f u the compatibility of u with f in this way x becomes a fuzzy variable which is associated with the possibility distribution tx in much the same way as a random variable is associated with a probability distribution in general a variable may be associated both with a possibility distribution and a probability distribution with the weak connection between the two expressed as the possibility probability consistency principle a thesis advanced in this paper is that the imprecision that is intrinsic in natural languages is in the main possibilistic rather than probabilistic in nature thus by employing the concept of a possibility distribution a proposition p in a natural language may be translated into a procedure which computes the probability distribution of a set of attributes which are implied by p several types of conditional translation rules are discussed and in particular a translation rule for propositions of the form x is f is possible where is a number in the interval 0 1 is formulated and illustrated by examples

existence of three positive solutions to a second order boundary value problem on a measure chain growth conditions are imposed on f such that the boundary value problem x t f x t t t1 t2 x t1 x t1 0 and x t2 x t2 0 where t1 t2 from a measure chain t has at least three positive solutions by way of the five functionals fixed point theorem

new fixed point theorems for mixed monotone operators and local existence uniqueness of positive solutions for nonlinear boundary value problems abstract in this article we present a new fixed point theorem for a class of general mixed monotone operators which extends the existing corresponding results moreover we establish some pleasant properties of nonlinear eigenvalue problems for mixed monotone operators based on them the local existence uniqueness of positive solutions for nonlinear boundary value problems which include neumann boundary value problems three point boundary value problems and elliptic boundary value problems for lane emden fowler equations is proved the theorems for nonlinear boundary value problems obtained here are very general

two positive solutions for second order quasilinear differential equation boundary value problems with sign changing nonlinearities in this paper the second order quasilinear differential equation y q t f t y 0 0 1 subject to dirichlet boundary conditions and mixed boundary conditions is studied where f is allowed to change sign v v p 2v p 1 we show the existence of at least two positive solutions by using a new fixed point theorem in cones

on the multiplicity of radial solutions to superlinear dirichlet problems in bounded domains in this paper we are concerned with the existence and multiplicity of nodal solutions to the dirichlet problem associated to the elliptic equation u q x g u 0 in a ball or in an annulus in rn the nonlinearity g has a superlinear and subcritical growth at infinity while the weight function q is nonnegative in 0 1 and strictly positive in some interval r1 r2 0 1 by means of a shooting approach together with a phase plane analysis we are able to prove the existence of infinitely many solutions with prescribed nodal properties

positive solutions for nonlinear m point eigenvalue problems in this paper we are concerned with determining values of lambda for which there exist positive solutions of the nonlinear eigenvalue problem graphics where a b c d is an element of 0 infinity xi i is an element of 0 1 alpha i beta i is an element of 0 infinity for i is an element of 1 m 2 are given constants p q is an element of c 0 1 0 infinity h is an element of c 0 1 0 infinity and f is an element of c 0 infinity 0 infinity satisfying some suitable conditions our proofs are based on guo krasnoselskii fixed point theorem c 2004 elsevier inc all rights reserved

radial solutions of dirichlet problems with concave convex nonlinearities abstract we prove the existence of a double infinite sequence of radial solutions for a dirichlet concave convex problem associated with an elliptic equation in a ball of r n we are interested in relaxing the classical positivity condition on the weights by allowing the weights to vanish the idea is to develop a topological method and to use the concept of rotation number the solutions are characterized by their nodal properties

global bifurcation of positive radial solutions for an elliptic system in reactor dynamics in this paper we are concerned with the existence of positive radial solutions of the elliptic system email protected email protected f x u r 1 0 is a constant m 0 is a parameter and 0 0 is continuous and f t s 0 for all t s r 1 r 2 x 0 under some appropriate conditions on the nonlinearity f we show that the above system possesses at least one positive radial solution for any email protected 0 the proof of our main results is based upon bifurcation techniques

existence and iteration of n symmetric positive solutions for a singular two point boundary value problem let n be an arbitrary natural number in this paper we consider the existence of n symmetric positive solutions and establish a corresponding iterative scheme for the two point boundary value problem w t h t f w t 0 0 t 1 w 0 w 0 0 1 w 1 0 the main tool is the monotone iterative technique here the coefficient h t is symmetric on 0 1 and may be singular at both end points t 0 and t 1

multiple positive solutions of nonlinear two point boundary value problems we improve the results obtained by erbe hu and wang in a recent paper we show that there exist at least two positive solutions of two point boundary value problems under conditions weaker than those used by erbe hu and wang

three symmetric solutions of lidstone boundary value problems for difference and partial difference equations we consider the boundary value problem 2my k m f y k 2y k 1 2iy k 1 2 m 1 y k m 1 k a 1 b 1 2iy a 1 m 2iy b 1 m 2i 0 0 i m 1 where m 1 and 1 m f rm 0 is continuous by using amann and leggett williams fixed point theorems we develop growth conditions on f so that the boundary value problem has triple positive symmetric solutions the results obtained are then applied in the investigation of radial solutions for certain partial difference equation subject to lidstone type conditions

a note on the arithmetic geometric mean inequality for every unitarily invariant matrix norm abstract we integrate ten unitarily invariant matrix norm inequalities equivalent to the heinz inequality

geometric operator inequalities abstract the geometrical meaning of several well known inequalities is discussed they include the so called loewner heinz mcintosh and segal inequalities it is shown that some of them can be deduced from the others even for unitarily invariant forms some spectral properties of the elementary operators associated to the inequalities are studied

a note on the arithmetic geometric mean inequality for matrices abstract we give a simple proof of the inequality aa x xbb 2 a ab where a b and x are arbitrary n n matrices and is any unitarily invariant norm for the schatten p norms p with 1 p aa x xbb p 2 a xb p if and only if aa x xbb