A class of boundary value problems for first-order impulsive integro-differential equations with deviating arguments

作者：Liu, Zhenhai^*; Liang, Jitai

来源：Journal of Computational and Applied Mathematics, 2013, 237(1): 477-486.

DOI：10.1016/j.cam.2012.06.018

• Nonlinear impulsive integro-differential equations
• Deviating arguments
• Upper and lower solutions
• Monotone iterative technique

This paper is concerned with a class of boundary value problems for nonlinear mixed impulsive integro-differential equations with deviating arguments. We establish a new comparison principle and use the method of upper and lower solutions together with the monotone iterative technique. Under suitable conditions, we obtain the existence results of extremal solutions for the problems. An example is also given to illustrate our results.

• 出版日期2013-1-1
• 单位广西民族大学