Abstract
This paper concerns the existence and multiplicity of solutions of second-order difference boundary value problems. Under the assumptions which guarantee the existence of at least one nontrivial solution of the homogeneous problem, we obtain the existence of exactly three solutions of the nonhomogeneous problem with some other suitable conditions.
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This project is supported by the Research Fund for the Doctoral Program of Higher Education of China (No. 20061078002).
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Zheng, B., Zhang, Q. Existence and Multiplicity of Solutions of Second-Order Difference Boundary Value Problems. Acta Appl Math 110, 131–152 (2010). https://doi.org/10.1007/s10440-008-9389-x
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DOI: https://doi.org/10.1007/s10440-008-9389-x
Keywords
- Second-order difference boundary value problems
- Existence and multiplicity
- Three-critical-point theorem
- Isolated zero point