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2013 Multiple Positive Solutions to Multipoint Boundary Value Problem for a System of Second-Order Nonlinear Semipositone Differential Equations on Time Scales
Gang Wu, Longsuo Li, Xinrong Cong, Xiufeng Miao
J. Appl. Math. 2013: 1-12 (2013). DOI: 10.1155/2013/679316

Abstract

We study a system of second-order dynamic equations on time scales (p1u1)Δ(t)-q1(t)u1(t)+λf1(t,u1(t),u2(t))=0,t(t1,tn),(p2u2)Δ(t)-q2(t)u2(t)+λf2(t,u1(t), u2(t))=0, satisfying four kinds of different multipoint boundary value conditions, fi is continuous and semipositone. We derive an interval of λ such that any λ lying in this interval, the semipositone coupled boundary value problem has multiple positive solutions. The arguments are based upon fixed-point theorems in a cone.

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Gang Wu. Longsuo Li. Xinrong Cong. Xiufeng Miao. "Multiple Positive Solutions to Multipoint Boundary Value Problem for a System of Second-Order Nonlinear Semipositone Differential Equations on Time Scales." J. Appl. Math. 2013 1 - 12, 2013. https://doi.org/10.1155/2013/679316

Information

Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 1266.34144
MathSciNet: MR3039716
Digital Object Identifier: 10.1155/2013/679316

Rights: Copyright © 2013 Hindawi

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