一般Lidstone边值问题的解的存在性

Abstract

Abstract:

The existence of general Lidstone boundary value problems with all order derivatives is considered. By making use of Leray-Schauder fixed point theorem, equivalent norm and the techniques of system on integral equations, two existence theorems of solutions and positive solutions are proved.These theorems are very convenient for the applications. In other words, the existence can be determined by considering the "height" of nonlinear term on a bounded set.

Key words: Higher order differential equations, Nonlinear Lidstone boundary value problem;Solution and positive solution, Existence

YAO Qing-Liu. Existence of Solution for General Lidstone Boundary Value Problems[J].Acta mathematica scientia,Series A, 2005, 25(7): 1004-1011.

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Existence of Solution for General Lidstone Boundary Value Problems

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