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Start Over Topic mathematics Topic nonlinear operators Language english Journal electronic journal of qualitative theory of differential equations

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1. Positive solutions for a fourth-order three-point BVP with sign-changing Green's function.

Author

Yun Zhang, Jian-Ping Sun, and Juan Zhao

Subjects
*GREEN'S functions, *FIXED point theory, *NONLINEAR operators, *INDEX theory (Mathematics), *MATHEMATICS
Abstract

This paper is concerned with the following fourth-order three-point boundary value problem ... where n ∊ [1/3, 1). In spite of sign-changing Green's function, for arbitrary positive integer n (≥ 2), we still obtain the existence of at least n - 1 decreasing positive solutions to the above problem by imposing some suitable conditions on f . The main tool used is the fixed point index theory. [ABSTRACT FROM AUTHOR]

Published
2018
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