Abstract
In this paper we consider the existence of positive solutions for singular second-order boundary value problems with impulse actions. By con- structing a cone K1 × K2, which is the Cartesian product of two cones in the space C(0,1) and computing the fixed point index in the K1 × K2, we establish the existence of positive solutions for the system.
Highlights
The theory of impulsive differential equations has been emerging as an important area of investigation in recent years .For some general and recent works on the theory of impulsive differential equations we refer the reader to [24].Applications of impulsive differential equations occur in biology, medicine, engineering
In this paper,we consider the existence of positive solutions for the following second-order impulsive differential equations:
Motivated by the work mentioned above,in this paper,we study the existence of positive solutions of two-point boundary value problems for the nonlinear second-order singular and impulsive differential equation system(1.1)
Summary
The theory of impulsive differential equations has been emerging as an important area of investigation in recent years .For some general and recent works on the theory of impulsive differential equations we refer the reader to [24].Applications of impulsive differential equations occur in biology, medicine, engineering.Received: May 25, 2014 c 2014 Academic Publications, Ltd. url: www.acadpubl.eu Y. In this paper,we consider the existence of positive solutions for the following second-order impulsive differential equations: Motivated by the work mentioned above,in this paper,we study the existence of positive solutions of two-point boundary value problems for the nonlinear second-order singular and impulsive differential equation system(1.1).
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