Studies on Nonhomogeneous Multi-point BVPs of Difference Equations with One-Dimensional p-Laplacian |
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Authors: | Yuji Liu |
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Institution: | 1. Department of Mathematics, Guangdong University of Business Studies, Guangzhou, 510000, P.R. China
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Abstract: | This article deals with a discrete type multi-point BVP of difference equations. The sufficient conditions to guarantee the
existence of at least three positive solutions are established. An example is presented to illustrate the main results. It
is the purpose of this paper to show that the approach to get positive solutions of BVPs by using multifixed-point theorems
can be extended to treat nonhomogeneous BVPs. The emphasis is put on the nonlinear term f involved with the first order delta operators Δx(n) and Δx(n + 1). The difference concerned is a implicit difference equation. |
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Keywords: | |
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