[PDF] Top 20 Multiple solutions of fourth-order difference equations with different boundary conditions

... difference equations, difference equations have been widely used to study discrete models in many fields such as finance insurance, computing, electrical circuit analysis, dynami- cal systems, physical field, ... See full document

... On multiple solutions of a system of m discrete boundary value problems, Zeitschrift f¨ur Angewandte Mathematik und Mechanik 81 (2001), ...Positive Solutions of Operator Equations, ... See full document

... of multiple positive solutions for fourth-order impulsive differential equation with integral boundary conditions and deviating ... See full document

... which is used to describe the stationary states of the deflection of an elastic beam [29]. Differential equations similar to (1.3) and special cases of it have been studied using a number of different methods in the ... See full document

... Hence it is natural for us to consider the case β = δ + 1. In the present papere, the mo- tivation comes from the recent papers [6, 7, 14, 18]. By virtue of the minimax methods with variational techniques, the ... See full document

... of solutions of the problem is proved via the resulting integral operator equation by means of Leray-Schauder nonlinear alternative and some standard fixed point ...- difference equations. The ... See full document

... dynamic equations on time scales goes back to its founder Stefan Hilger 8 and is a new area of still fairly theoretical exploration in ...dynamic equations on time scales can build bridges between ... See full document

... integral boundary conditions for ordinary differential equations represent a very interesting and important class of problems and arise in the study of various physical, biological and chemical ... See full document

... differential equations arise in kinds of different areas of applied mathematics and ...multi-point boundary value problems for second-order differential equations ex- tensively, see [–] and the ... See full document

... differential equations subject to Sturm-Liouville boundary conditions, the study of solutions for a fourth-order Sturm-Liouville boundary value problem with impulsive ... See full document

... Motivated by the works mentioned above, we consider the existence of nontrivial solu- tions for (1.1) involving sign-changing nonlinearities. Using the topological degree theory of a completely continuous field, and ... See full document

... conditions y() = y() = y () = y () = , which can be used to model the deflection of elastic beams simply supported at the endpoints [–]. This explains the reason that the last two decades have witnessed an ... See full document

... and fourth-order differential equations involv- ing integral boundary conditions; to give example, the readers can see [9–13] and the ref- erences ...differential equations with ... See full document

... Kirchhoff-type boundary value problem, for instance, see ...weak solutions to a class of Kirchhoff-type dou- bly eigenvalue boundary value ...weak solutions for Kirchhoff-type problems involving ... See full document

... of one nontrivial periodic solution. Notice that 1.13 implies that 1.11 holds; however, G ± is not covered by 1.14. In fact, conditions 1.13 and 1.14 are borrowed from 6 . The conditions in Theorem 1.3 ... See full document

... multi-point boundary value problems has received increas- ing ...multi-point boundary value problems of linear second-order ordinary dif- ferential equations was initiated by Il’in and Moiseev ... See full document

... differential equations have many applications such as balancing condition of an elastic beam which may be described by nonlinear fourth-order ordinary differential ...nonlinear fourth- ... See full document

... In this paper, we investigate the solutions of boundary value problems (1.1) with (1.2) for a second-order p-Laplacian difference equation [6–25]. By using the critical point theory [26–28], the ... See full document

... of boundary value problems of differential equa- tions involving Caputo fractional derivatives can be found in many papers ...fractional order derivative that the solution of ... See full document

... The remaining part of the article is organized as follows. In Section “Preliminaries”, some preliminary results will be given. In the remaining sections, by employing a basic applica- tion of Schauder’s fixed point ... See full document