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Periodic boundary value problems for second-order impulsive integro-differential equations

โœ Scribed by Xuxin Yang; Jianhua Shen

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
180 KB
Volume
209
Category
Article
ISSN
0377-0427

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โœฆ Synopsis

By developing a new comparison result and using the monotone iterative technique, we are able to obtain existence of minimal and maximal solutions of periodic boundary value problems for second-order nonlinear impulsive integro-differential equations of mixed type.

๐Ÿ“œ SIMILAR VOLUMES

Periodic Boundary Value Problems for a C
Periodic Boundary Value Problems for a Class of Second-Order Impulsive Integro-Differential Equations in Banach Spaces
โœ Xinzhi Liu; Dajun Guo ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 263 KB

This paper investigates periodic boundary value problems for a class of secondorder nonlinear impulsive integro-differential equations of mixed type in a Banach space. By establishing a comparison result, criteria on the existence of maximal and minimal solutions are obtained.

Anti-periodic boundary value problems of
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โœ Meiping Yao; Aimin Zhao; Jurang Yan ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 391 KB

This paper discusses anti-periodic boundary value problems of second order impulsive differential equations. By using the method of upper and lower solutions coupled with the monotone iterative technique, new existence results of coupled solutions and uniqueness of problems are obtained.

Impulsive anti-periodic boundary value p
Impulsive anti-periodic boundary value problem of first-order integro-differential equations
โœ Xiaohuan Wang; Jihui Zhang ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 289 KB

technique a b s t r a c t This paper is concerned with the anti-periodic boundary value problem of first-order nonlinear impulsive integro-differential equations. We first establish a new comparison principle, and then obtain the existence of extremal solutions by upper-lower solution and monotone i