On positive solutions of m-point boundary value problems for p-Laplacian impulsive dynamic equations on time scales

Fatma Tokmak Fen () and Ilkay Yaslan Karaca ()
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Fatma Tokmak Fen: Gazi University
Ilkay Yaslan Karaca: Ege University

Indian Journal of Pure and Applied Mathematics, 2015, vol. 46, issue 5, 723-738

Abstract: Abstract In this paper, we consider a second-order m-point impulsive boundary value problem on time scales. We establish the criteria for the existence of at least two positive solutions of a noneigenvalue problem. Later, we study the existence of at least one positive solution of an eigenvalue problem. We also give two examples to illustrate our results.

Keywords: Positive solutions; double fixed-point theorem; fixed point index theorem; time scales; impulsive boundary value problems (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/s13226-015-0139-2

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