EIGENVALUE PROBLEMS FOR SINGULAR MULTI-POINT DYNAMIC EQUATIONS ON TIME SCALES
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Date
2017
Authors
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Publisher
TEXAS STATE UNIV, 601 UNIVERSTITY DRIVE, SAN MARCOS, TX 78666 USA
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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Keywords
Time scales, singular multi-point dynamic equations, eigenvalue problems, Green's function, positive solutions, fixed point index theory
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Citation
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS Article Number: 37