时间尺度上一类半正三阶三点边值问题的解的存在性

Abstract

Abstract:

In this paper, by constructing an auxiliary function concerned with nonlinear term and considering the properties of this auxiliary function on bounded sets, the existence of solutions is established for a semipositone third-order three-point BVP on time scales, where the nonlinear term is lower bounded. The main tool is based on Krasnosel'skii fixed point theorem of cone expansion-compression type.

Key words: Semipositone, Time scales, Third-order, Three-point, Multiplicity

CLC Number:

34B10

SANG Yan-Bin, WEI Zhong-Li. Existence of Solutions to a Semipositone Third-order Three-point BVP on Time Scales[J].Acta mathematica scientia,Series A, 2011, 31(2): 455-465.

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Existence of Solutions to a Semipositone Third-order Three-point BVP on Time Scales

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