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Start Over Author "Jiehua Zhang" Publisher texas state university
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1. Positive Solutions for a nonlinear n-th order m-point boundary-value problem

Author

Jiehua Zhang, Yanping Guo, and Yude Ji

Subjects
Boundary value problem, positive solution, fixed point theorem, Green's function, Mathematics, QA1-939
Abstract

Using the Leggett-Williams fixed point theorem in cones, we prove the existence of at least three positive solutions to the nonlinear $n$-th order $m$-point boundary-value problem $$displaylines{ Delta^{n}u(k)+a(k)f(k,u)=0, quad kin {0,N},cr u(0)=0,; Delta u(0)=0, dots, Delta^{n-2}u(0)=0,quad u(N+n)=sum_{i=1}^{m-2}alpha_iu(xi_i). }$$

Published
2011

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