EXISTENCE OF SYMMETRIC POSITIVE SOLUTIONS FOR LIDSTONE TYPE INTEGRAL BOUNDARY VALUE PROBLEMS

Year 2018, Volume: 8 Issue: 1.1, 295 - 305, 01.09.2018

N. Sreedhar K. R. Prasad S. Balakrishna

Abstract

This paper establishes the existence of even number of symmetric positive solutions for the even order differential equation −1 n u 2n t = f t, u t , t ∈ 0, 1 , satisfying Lidstone type integral boundary conditions of the form u 2i 0 = u 2i 1 = Z 1 0 ai+1 x u 2i x dx, for 0 ≤ i ≤ n − 1, where n ≥ 1, by applying Avery–Henderson fixed point theorem.

Keywords

Green’s function, integral boundary conditions, cone, positive solution, fixedpoint theorem

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