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Agarwal, Ravi P.; O’Regan, Donal

An upper and lower solution approach for singular boundary value problems with sign changing non-linearities. (English) Zbl 1012.34019

Math. Methods Appl. Sci. 25, No. 6, 491-506 (2002).
Summary: The authors obtain via Schauder’s fixed-point theorem new results for singular second-order boundary value problems where the nonlinear term \(f(t,y,z)\) is allowed to change sign. In particular, the problem may be singular at \(y=0\), \(t=0\) and/or \(t=1\).
Reviewer: Jurang Yan (Taiyuan)

Cited in 5 Documents

MSC:

34B16 Singular nonlinear boundary value problems for ordinary differential equations
34B15 Nonlinear boundary value problems for ordinary differential equations

Keywords:

singular boundary value problem; sign changing nonlinearity; Schauder’s fixed-point theorem; existence criterion
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References:

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