Geometry of nonlinear differential equations
The paper contains a survey of certain contemporary concepts and results connected with the geometric foundations of the theory of nonlinear partial differential equations. At the base of the account is situated the geometry and analysis on jet spaces, finite and infinite.

title: A method for computing higher symmetries of nonlinear evolutionary equations and nonlocal symmetries

title: The logic algebra for the theory of linear difierential operators
abstract: A material handling device on a sewing machine for feeding labels one at a time to a movable vacuum pickup head on the machine which moves the label to a position on the sewing machine adjacent the needle for sewing of the label onto a garment. The labels are cut from a strip wound on a reel. A reciprocable finger moves a portion of the strip along a surface and thereby unwinds the strip from the reel. On each label-feeding stroke of the finger, the strip is advanced a distance equal to the length or width of a label past a cutter and downwardly onto an elevator platform. The upper surface of the platform has at least one aperture therein which is connected to a vacuum source. The label is in a position on the platform covering the aperture and is held in position on the platform by vacuum from the vacuum source. With the label positioned and held on the platform, the cutter is actuated to cut the label from the remainder of the strip. While the cutter is cutting the label from the remainder of the strip, the elevator platform is simultaneously elevating the label to a position above the surface for subsequent pickup by the movable vacuum pickup head on the machine. As the pickup head moves into position to pick up the label, the vacuum is disconnected from the aperture in the platform so as to release its hold on the label and is connected to the pickup head. The pickup head by vacuum picks up the label and moves it from its position on the elevator platform to a position adjacent the needle for sewing of the label onto a garment. The elevator platform and cutter are lowered to their initial position. The finger then advances the strip a distance equal to the length or width of a label past the cutter and onto the platform. When the machine operator desires another label, the label is cut from the remainder of the strip, elevated, picked up, and positioned adjacent the needle and thereafter the next label is advanced past the cutter and onto the platform.

title: Some variations on the notion of connection
abstract: Distributions on manifolds are studied in terms of jets of submanifolds and are interpreted as «pre-connections» or «almost-fibrings»; the associated differential calculus is developed in detail. A comparison with connections on fibred manifolds is analysed. Moreover, «higher order pre-connections», defined as pre-connections dependent on jets of arbitrary order, are introduced and studied. It is shown that infinite jets play an essential role in the associated differential calculus.

title: WHAT IS THE HAMILTONIAN FORMALISM
abstract: In this paper the basic concepts of the classical Hamiltonian formalism are translated into algebraic language. We treat the Hamiltonian formalism as a constituent part of the general theory of linear differential operators on commutative rings with identity. We take particular care in motivating the concepts we introduce. As an illustration of the theory presented here, we examine the Hamiltonian formalism in Lie algebras. We conclude by presenting a version of the orbit method in the theory of representations of Lie groups, which is a natural corollary of our view of the Hamiltonian formalism.

title: n-ary Lie and Associative Algebras
abstract: With the help of the multigraded Nijenhuis-- Richardson bracket and the multigraded Gerstenhaber bracket from [7] for every $n\ge 2$ we define $n$-ary associative algebras and their modules and also $n$-ary Lie algebras and their modules, and we give the relevant formulas for Hochschild and Chevalley cohomogy.

title: THE QUASI-ELASTIC METHOD IN CREEP STABILITY ANALYSIS
abstract: The paper presents a modification of the quasi-elastic solution technique aimed at applications to the stability analysis of viscoelastic structures. The study is concerned with two distinct instability phenomena, the bifurcation and the snapthrough buckling in the presence of creep. Respectively, two structural models are considered, a circular arch and a shallow two-bar system under sustained lateral loading. The quasi-elastic approximate solution results in the instability condition defined in terms of the load-critical time equation. The time-dependent response of the structures is studied in relation to the limited and unlimited creep behaviour of viscoelastic materials. Two numerical examples are given and accuracy of the method is discussed.

title: Brief note creep-stability analysis of viscoelastic cylindrical shells
abstract: The paper presents the creep-stability analysis of viscoelastic cylindrical shells under axial compression. The mechanical properties of the material are described by the constitutive equations of the linear viscoelastic theory in terms of convolution integral operators. The approximate analytical solution to the problem is obtained by means of a modification of the quasi-elastic method. As a result, the instability condition for the shell is formulated. It is shown that for viscoelastic materials with limited creep, there is a safe load limit below which the structure is asymptotically stable. Any load above the safe load limit leads to buckling at the corresponding critical time.