Eigenvalue Problems for Singular Multi-Point Dynamic Equations on Time Scales

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Abstract

In this article, we study a singular multi-point dynamic eigenvalue problem on time scales. We find existence of positive solutions by constructing the Green's function and studying its positivity eigenvalue intervals. Two examples are given to illustrate our results.

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Time Scales, Singular Multi-Point Dynamic Equations, Eigenvalue Problems, Green's Function, Positive Solutions, Fixed Point Index Theory

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2017

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