solvability of a higher-order three-point boundary value problem on time scales
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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.
| Reference Key |
sang2009abstractsolvability
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|---|---|
| Authors | ;Yanbin Sang |
| Journal | science and technology of advanced materials |
| Year | 2009 |
| DOI |
10.1155/2009/341679
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| URL | |
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