IJPAM: Volume 94, No. 2 (2014)

POSITIVE SOLUTIONS OF TWO-POINT BOUNDARY VALUE
PROBLEMS FOR SECOND ORDER IMPULSIVE
DIFFERENTIAL EQUATIONS

Ying He
School of Mathematics and Statistics
Northeast Petroleum University
Daqing, 163318, P.R. CHINA


Abstract. In this paper we consider the existence of positive solutions of two-point boundary value problems for second-order nonlinear impulsive differential equations. By constructing a cone $K_1\times K_2,$ which is the Cartesian product of two cones in the space C[0,1] and computing the fixed point index in the $K_1\times K_2$, we establish the existence of positive solutions for the system.

Received: May 22, 2014

AMS Subject Classification: 34B15

Key Words and Phrases: singular two-point boundary value problem with impulsive terms, second-order impulsive differential equations, fixed point index in cones

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DOI: 10.12732/ijpam.v94i2.14 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 94
Issue: 2
Pages: 277 - 293

CC BY This work is licensed under the Creative Commons Attribution International License (CC BY).