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The existence of multiple positive solutions to $$n$$ order nonlinear eigenvalue problem. (Chinese. English summary) Zbl 1264.34029
Summary: By the fixed point theorem of Krasnosel’skii-Guo, the paper studies the existence of multiple positive solutions of an $$n$$th-order nonlinear eigenvalue problem with multi-point boundary value condition. The existence of multiple positive solutions is obtained.
##### MSC:
 34B09 Boundary eigenvalue problems for ordinary differential equations 34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations 34B18 Positive solutions to nonlinear boundary value problems for ordinary differential equations 47N20 Applications of operator theory to differential and integral equations