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Sign-changing solutions for discrete second-order three-point boundary value problems. (English) Zbl 1188.39004

Summary: We consider the second-order three-point discrete boundary value problem. By using the topological degree theory and the fixed point index theory, we provide sufficient conditions for the existence of sign-changing solutions, positive solutions, and negative solutions. As an application, an example is given to demonstrate our main results.

MSC:

39A12 Discrete version of topics in analysis
34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations
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