Xiaojing Wang, Chuanzhi Bai
Abstract:
This article concerns boundary-value problems
of first-order nonlinear impulsive integro-differential
equations:
where
,
,
,
and
for
.
Sufficient conditions for
the existence of coupled extreme quasi-solutions are established
by using the method of lower and upper solutions and monotone
iterative technique. Wang and Zhang [18] studied the
existence of extremal solutions for a particular case of this problem,
but their solution is incorrect.
Submitted November 1, 2010. Published November 17, 2010.
Math Subject Classifications: 34A37, 34B15.
Key Words: Impulsive integro-differential equation;
coupled lower-upper quasi-solutions;
monotone iterative technique.
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Xiaojing Wang Department of Mathematics, Huaiyin Normal University Huaian, Jiangsi 223300, China email: wangxj2010106@sohu.com | |
Chuanzhi Bai Department of Mathematics, Huaiyin Normal University Huaian, Jiangsi 223300, China email: czbai8@sohu.com |
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