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On some non-linear boundary value problems for ordinary differential equations. (English) Zbl 0702.34024

Summary: Existence and uniqueness of the solution to some boundary value problems for the second-order differential equation in a critical case is proved using the method of upper and lower solutions. Further boundary value problems with a parameter are investigated.

MSC:

34B15 Nonlinear boundary value problems for ordinary differential equations
34B27 Green’s functions for ordinary differential equations
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