On the Existence of Positive Solutions of Singular Second Order Boundary Value Problems

Chinese Quarterly Journal of Mathematics ›› 2004, Vol. 19 ›› Issue (1): 101-106.

On the Existence of Positive Solutions of Singular Second Order Boundary Value Problems

Department of Mathematics, Qinghai Normal University, Xining 810008, China

Received:2003-06-16 Online:2004-03-30 Published:2024-03-28
About author:LI He-cheng(1973-),male,native of Ledu,Qinghai,M.S.D.,a lecturer of Qinghai Normal University,engages in applied ordinary differential equation.

Abstract

Abstract: This paper deals with the existence of positive solutions of the equation u"+f(t, u)=0 with linear boundary conditions. We show the existence of at least one positive solution if / is neither superlinear nor sublinear on u by a simple application of a fixed point Theorem in cones.

Key words: boundary , value , problem, positive , soulution, fixed , point, existence

CLC Number:

O175.8

LI He-cheng . On the Existence of Positive Solutions of Singular Second Order Boundary Value Problems[J]. Chinese Quarterly Journal of Mathematics, 2004, 19(1): 101-106.

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On the Existence of Positive Solutions of Singular Second Order Boundary Value Problems

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