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Existence of positive solutions for three-point boundary value problems at resonance. (English) Zbl 1056.34019

The authors prove the existence of a positive solution for a second-order ordinary differential equation with a three-point boundary condition, whose nonlinearity is assumed to have at most linear growth. The proof uses the fixed-point index theory.

MSC:

34B15 Nonlinear boundary value problems for ordinary differential equations
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