一类半无穷区间上三点边值问题无界解的存在性

Abstract

Abstract:

This paper discusses the existence of unbounded solutions to three-point boundary value problems of second order nonlinear differential equations on the half line. By establishing the unbounded upper and lower solutions theory, using the upper and lower solutions, the Schäuder fixed point theorem and inequality technique, sufficient conditions are obtained to guarantee the existence of solution. One interesting point is that the unbounded upper and lower solutions theory is established for three-point boundary value problem.

Key words: Three-point boundary value problem, Infinite interval, Upper and lower solution, Fixed point theory, Nagumo condition

CLC Number:

34B10

LIAN Hai-Rong, CUI Zi-Jia, ZHANG Shuai. The Existence of Unbounded Solutions to Three-point Boundary Value Problem over a Semi-infinite Interval[J].Acta mathematica scientia,Series A, 2012, 32(3): 489-499.

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The Existence of Unbounded Solutions to Three-point Boundary Value Problem over a Semi-infinite Interval

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