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Three positive solutions of \(n\)th-order \(m\)-point boundary value problems. (Chinese. English summary) Zbl 1463.34097

Summary: The existence of three positive solutions for an \(n\)th-order \(m\)-point boundary value problem is established by using Leggett-Williams fixed point theorem, which generalizes some results of positive and multiple positive solutions to the lower order boundary value problems with multipoint.

MSC:

34B18 Positive solutions to nonlinear boundary value problems for ordinary differential equations
34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations
47N20 Applications of operator theory to differential and integral equations
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