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Positive solutions of a nonlinear $$m$$-point boundary value problem. (English) Zbl 0987.34018
The existence of at least one positive solution is proved to a multipoint boundary value problem associated to second-order ordinary differential equations. The involved nonlinearity is assumed to be either superlinear or sublinear. A Krasnosel’skij-type fixed-point theorem is applied for this aim.

MSC:
 34B18 Positive solutions to nonlinear boundary value problems for ordinary differential equations 34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations 34B15 Nonlinear boundary value problems for ordinary differential equations
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References:
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