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Periodic boundary value problems of second-order impulsive differential equations

โœ Scribed by Meiping Yao; Aimin Zhao; Jurang Yan

Book ID
108216030
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
679 KB
Volume
70
Category
Article
ISSN
0362-546X

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๐Ÿ“œ SIMILAR VOLUMES

Anti-periodic boundary value problems of
Anti-periodic boundary value problems of second order impulsive differential equations
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.

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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.

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โœ Xuxin Yang; Jianhua Shen ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 180 KB

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.