A Singular Nonlinear Second-Order Neumann Boundary Value Problem with Positive Solutions

Feng Wang, Yujun Cui, Fang Zhang

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  • Support Team

Abstract

We study the existence and multiplicity of positive solutions for second-order Neumann boundary value problem −u′′ + a(t)u = h(t)f(t, u), t ∈ (0, 1), u′(0) = u′(1) = 0, where coefficient a(t) : [0, 1] → (−∞,+∞) is continuous and
$\max_{t∈[0,1]} a(t) > 0, h(t) may be singular at t = 0 and 1, moreover f(t, u) may also have singularity at u = 0. The first eigenvalue of the relevant linear problem and fixed point index theory are used in this study.

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Published

2009-12-01

How to Cite

Team, S. (2009). A Singular Nonlinear Second-Order Neumann Boundary Value Problem with Positive Solutions: Feng Wang, Yujun Cui, Fang Zhang. Thai Journal of Mathematics, 7(2), 243–257. Retrieved from https://thaijmath2.in.cmu.ac.th/index.php/thaijmath/article/view/159

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