Displaying similar documents to “Repelling conditions for boundary sets using Liapunov-like functions. I. - Flow-invariance, terminal value problem and weak persistence”

Multiple and sign-changing solutions for discrete Robin boundary value problem with parameter dependence

Yuhua Long, Baoling Zeng (2017)

Open Mathematics

Similarity:

In this paper, we study second-order nonlinear discrete Robin boundary value problem with parameter dependence. Applying invariant sets of descending flow and variational methods, we establish some new sufficient conditions on the existence of sign-changing solutions, positive solutions and negative solutions of the system when the parameter belongs to appropriate intervals. In addition, an example is given to illustrate our results.