Solvability of a Higher-Order Three-Point Boundary Value Problem on Time Scales

Yanbin Sang

Abstract and Applied Analysis, 2009, vol. 2009, 1-16

Abstract:

We consider a higher-order three-point boundary value problem on time scales. A new existence result is first obtained by using a fixed point theorem due to Krasnoselskii and Zabreiko. Later, under certain growth conditions imposed on the nonlinearity, several sufficient conditions for the existence of a nonnegative and nontrivial solution are obtained by using Leray-Schauder nonlinear alternative. Our conditions imposed on nonlinearity are all very easy to verify; as an application, some examples to demonstrate our results are given.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:341679

DOI: 10.1155/2009/341679

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