solvability of a higher-order three-point boundary value problem on time scales

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ID: 245181
2009
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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.
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sang2009abstractsolvability Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
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Journal science and technology of advanced materials
Year 2009
DOI
10.1155/2009/341679
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