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Existence of positive solutions to second order Neumann boundary value problems. (English) Zbl 0963.34019

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:

34B18 Positive solutions to nonlinear boundary value problems for ordinary differential equations
34B15 Nonlinear boundary value problems for ordinary differential equations
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