New Existence Results and Comparison Principles for Impulsive Integral Boundary Value Problem with Lower and Upper Solutions in Reversed Order

Advances in Difference Equations

Guangxing Song¹  Lihong Zhang²  Guotao Wang² 

[1] Department of Mathematics, China University of Petroleum, Qingdao, Shandong, China;School of Mathematics and Computer Science, Shanxi Normal University, Linfen, China

关键词: Nonlinear Problem;    Existence Result;    Reversed Order;    Functional Differential Equation;    Comparison Principle;   

DOI  :  10.1155/2011/783726

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper investigates the existence of the extremal solutions to the integral boundary value problem for first-order impulsive functional integrodifferential equations with deviating arguments under the assumption of existing upper and lower solutions in the reversed order. The sufficient conditions for the existence of solutions were obtained by establishing several new comparison principles and using the monotone iterative technique. At last, a concrete example is presented and solved to illustrate the obtained results.

【 授权许可】

CC BY