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 and Xiufeng Miao

Journal of Applied Mathematics, 2013, vol. 2013, 1-12

Abstract:

We study a system of second-order dynamic equations on time scales , , satisfying four kinds of different multipoint boundary value conditions, is continuous and semipositone. We derive an interval of such that any 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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:679316

DOI: 10.1155/2013/679316

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