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Zbl 0963.34019
Jiang, Daqing; Liu, Huizhao
Existence of positive solutions to second order Neumann boundary value problems.
(English)
[J] J. Math. Res. Expo. 20, No.3, 360-364 (2000). ISSN 1000-341X

Summary: The existence of positive solutions to second-order Neumann boundary value problems $$-u''+ Mu= f(t,u),\quad u'(0)= u'(1)= 0,$$ and $$u''+ Mu= f(t, u),\quad u'(0)= u'(1),$$ is proved by a simple application of a fixed-point theorem in cones due to Krasnoselskij.
MSC 2000:
*34B18 Positive solutions of nonlinear boundary value problems
34B15 Nonlinear boundary value problems of ODE

Keywords: positive solutions; second-order Neumann boundary value problems

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