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

作者：Wang, Guotao^*; Zhang, Lihong; Song, Guangxing

来源：Advances in Difference Equations, 2011, 2011: 783726.

DOI：10.1155/2011/783726

• FUNCTIONAL-DIFFERENTIAL EQUATIONS
• DEVIATING ARGUMENTS
• INTEGRODIFFERENTIAL EQUATIONS
• EXTREMAL SOLUTIONS
• SYSTEMS

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.

• 出版日期2011
• 单位中国石油大学（北京）; 山西师范大学