Solutions for 2n^{th} order lidstone BVP on time scales

Authors: ERBİL ÇETİN, S. GÜLŞAN TOPAL

Abstract: In this paper, we prove the existence of solutions for nonlinear Lidstone boundary value problems by using the monotone method on time scale and also we show the existence of at least one positive solution if f is either superlinear or sublinear by the fixed point theorem in a Banach space.

Keywords: Lidstone boundary value problem, upper and lower solutions, fixed point theorem, positive solution.

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