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Scalar multi-point boundary value problems at resonance. (English) Zbl 1342.34037

The author discusses the solvability of a multi-point boundary value problem. The alternative method along with Schaefer’s fixed point theorem is used to establish the main result. The theorem improve existing results in the literature.

MSC:

34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations
34B15 Nonlinear boundary value problems for ordinary differential equations
47N20 Applications of operator theory to differential and integral equations