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Zbl 1041.34013
Sun, Jian-Ping; Li, Wan-Tong
Multiple positive solutions to second-order Neumann boundary value problems. (English)
[J] Appl. Math. Comput. 146, No. 1, 187-194 (2003). ISSN 0096-3003

Summary: The existence of multiple positive solutions to the second-order Neumann BVPs $$-u''+Mu=f(t,u),\ \ u'(0)=u'(1)=0,$$ and $$u''+Mu=f(t,u),\ \ u'(0)=u'(1)=0,$$ are proved by a fixed-point theorem in a cone due to Krasnosel'skii.

MSC 2000:: *34B18 Positive solutions of nonlinear boundary value problems
34B15 Nonlinear boundary value problems of ODE

Keywords: Neumann BVP; Positive solution; Fixed-point theorem

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