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

Yuhua LongBaoling Zeng — 2017

Open Mathematics

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.

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