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The existence of positive solutions of a \(2n\)th order differential equation with multipoint boundary condition. (Chinese. English summary) Zbl 1235.34074

Summary: By using the fixed point theorem of cone expansion and compression, the existence of a positive solution for a \(2n\)-th order differential equation with multipoints boundary condition is obtained.

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