Transformation techniques and fixed point theories to establish the positive solutions of second order impulsive differential equations

作者:

Highlights:

• We use a new method to deal with impulse term of second impulsive differential equations.

• The dependence of positive solution xλ(t) on the parameter λ is also studied.

• We extend and improve some known results of non-impulsive equations and are compared with some recent results.

摘要

•We use a new method to deal with impulse term of second impulsive differential equations.•The dependence of positive solution xλ(t) on the parameter λ is also studied.•We extend and improve some known results of non-impulsive equations and are compared with some recent results.

论文关键词:26A33,34B15,34B18,Impulsive differential equation,Transformation technique,Positive solutions,Fixed point theory

论文评审过程:Received 3 September 2013, Revised 13 February 2014, Available online 15 April 2014.

论文官网地址:https://doi.org/10.1016/j.cam.2014.04.008