Existence of homoclinic orbit for second-order nonlinear difference equation.
Existence of homoclinic solutions for a class of nonlinear difference equations.
Existence of multiple positive solutions for discrete problems with -Laplacian via variational methods.
Existence of multiple solutions for a class of -dimensional discrete boundary value problems.
Existence of multiple solutions of a second-order difference boundary value problem.
Existence of non-oscillatory solutions for a higher-order nonlinear neutral difference equation.
Existence of nonoscillatory solutions of some higher order difference equations.
Existence of positive, negative, and sign-changing solutions to discrete boundary value problems.
Existence of positive periodic solutions of higher-order functional difference equations
Based on the fixed-point theorem in a cone and some analysis skill, a new sufficient condition is obtained for the existence of positive periodic solutions for a class of higher-order functional difference equations. An example is used to illustrate the applicability of the main result.
Existence of positive solutions for a discrete three-point boundary value problem.
Existence of positive solutions for certain partial difference equations.
Existence of positive solutions of a discrete elastic beam equation.
Existence of solutions for a nonlinear discrete system involving the -Laplacian
The existence of solutions for boundary value problems for a nonlinear discrete system involving the -Laplacian is investigated. The approach is based on critical point theory.
Existence of solutions for a nonlinear system with applications to difference equations.
Existence of solutions for p-Laplacian functional dynamic equations on time scales.
Existence of solutions of a discrete fourth-order boundary value problem.
Existence of solutions to boundary value problems for the discrete generalized Emden-Fowler equation.
Existence of solutions to -Laplacian difference equations under barrier strips conditions.
Existence results for -Laplacian boundary value problems on time scales.
Existence theory for single and multiple solutions to singular positone discrete Dirichlet boundary value problems to the one-dimension -Laplacian
In this paper we establish the existence of single and multiple solutions to the positone discrete Dirichlet boundary value problem where , and our nonlinear term may be singular at .