一类四阶超线性奇异微分方程边值问题的正解

Abstract

Abstract:

This paper investigates a kind of fourth order superlinear singular boundary value problem, which contains a second derivative item. The authors obtain the existence and some properties of the solutions. Lastly, a necessary and sufficient condition for the existence of C²[0,1] positive solutions as well as C³[0,1] positive solutions is given for the problems which do not contain derivative items.

Key words: Fourth order differential equation, Singular boundary value problem, Superlinearity, Fixed point, Positive solution

CLC Number:

34B15

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DIAO Ceng-Qi, LI Xiu-Zhen. Positive Solutions for a Class of Fourth Order Singular Superlinear Boundary Value Problems[J].Acta mathematica scientia,Series A, 2009, 29(2): 436-448.

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References

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Positive Solutions for a Class of Fourth Order Singular Superlinear Boundary Value Problems

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