Existence of symmetric positive solutions for a semipositone problem on time scales

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Hacettepe Journal of Mathematics and Statistics
Volume:45 Issue:1
Existence of symmetric positive solutions for a semipositone problem on time scales

Existence of symmetric positive solutions for a semipositone problem on time scales

Authors : S Gulsan TOPAL, Arzu DENK

Pages : 23-31

View : 52 | Download : 13

Publication Date : 2016-02-01

Article Type : Research Paper

Abstract :This paper studies the existence of symmetric positive solutions for a second order nonlinear semipositone boundary value problem with integral boundary conditions by applying the Krasnoselskii fixed point theorem. Emphasis is put on the fact that the nonlinear term f may take negative value. An example is presented to demonstrate the application of our main result.
Keywords : Positive solution, Symmetric solution, Semipositone problems, Fixed point theorems, Time scales

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