TITLE:
Sign-Changing Solutions for Discrete Dirichlet Boundary Value Problem
AUTHORS:
Yuhua Long, Baoling Zeng
KEYWORDS:
Sign-Changing Solution, Difference Equation, Dirichlet Boundary Value Problem, Invariant Sets of Descending Flow
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.5 No.11,
November
23,
2017
ABSTRACT: Using invariant sets of descending flow and variational methods, we establish some sufficient conditions on the existence of sign-changing solutions, positive solutions and negative solutions for second-order nonlinear difference equations with Dirichlet boundary value problem. Some results in the literature are improved.