On the Existence of Positive Solutions of the P-Laplacian Dynamic Equations on Time Scales

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Abstract

In this paper, we investigate the existence of positive solutions for a nonlinear m-point boundary value problem for the p-Laplacian dynamic equations on time scales, by applying a Krasnosel'skii's fixed point theorem. As an application, an example is included to demonstrate themain results. Copyright (C) 2017 John Wiley & Sons, Ltd.

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Keywords

Time Scales, Boundary Value Problem, P-Laplacian, Positive Solutions, Fixed Point Theorem, Dynamic equations on time scales or measure chains, positive solutions, Nonlinear boundary value problems for ordinary differential equations, Applications of operator theory to differential and integral equations, time scales, boundary value problem, fixed point theorem, Positive solutions to nonlinear boundary value problems for ordinary differential equations, Nonlocal and multipoint boundary value problems for ordinary differential equations, \(p\)-Laplacian

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0101 mathematics, 01 natural sciences

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4

Volume

40

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12

Start Page

4385

End Page

4399
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CrossRef : 4

Scopus : 9

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