Existence of Countably Many Positive Solutions for Nonlinear Boundary Value Problems on Time Scales

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Date

2014

Journal Title

Journal ISSN

Volume Title

Publisher

NATURAL SCIENCES PUBLISHING CORP-NSPPO BOX 32038, ISA TOWN 00000, BAHRAIN

Abstract

In this paper, we consider the existence of countably many positive solutions for nonlinear singular boundary value problem on time scales. By using the fixed-point index theory and a new fixed-point theorem in cones, the sufficient conditions for the existence of countably many positive solutions are established.

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Keywords

Time scales, Boundary value problem, Singularity, Positive solutions, Fixed point theorem

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Citation

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Source

Volume

8

Issue

5

Start Page

2177

End Page

2187