Maximum Principles for Second-Order Impulsive Integro-Differential Equations with Integral Jump Conditions

被引：1

作者：

Thaiprayoon, Chatthai ^{[1
]}

Tariboon, Jessada ^{[2
]}

机构：

[1] Burapha Univ, Fac Sci, Dept Math, Chon Buri 20131, Thailand

[2] King Mongkuts Univ Technol North Bangkok, Fac Sci Appl, Dept Math, Bangkok 10800, Thailand

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2016年 / 39卷 / 03期

关键词：

Maximum principle; Impulsive differential inequality; Impulsive integro-differential equation; Monotone iterative technique; BOUNDARY-VALUE-PROBLEMS; FUNCTIONAL-DIFFERENTIAL EQUATIONS;

D O I：

10.1007/s40840-015-0209-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We are concerned with two new maximum principles for second-order impulsive integro-differential equations with integral jump conditions. The impulse effects or jump conditions of this paper are involved in terms of integral of past states. As an application, we introduce a new definition of lower and upper solutions which leads to the development of the monotone iterative technique for a periodic boundary value problem related to a nonlinear second-order impulsive functional integro-differential equation with integral jump conditions.

引用

页码：971 / 992

页数：22

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