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Initial Value Problems for the Second Order Mixed Monotone Type of Impulsive Differential Equations in Banach Spaces

โœ Scribed by Sun Jinli; Ma Yihai

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
100 KB
Volume
247
Category
Article
ISSN
0022-247X

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โœฆ Synopsis

In this paper, we use the coupled fixed point theorem for mixed monotone condensing operators to obtain an existence and uniqueness theorem of solutions of initial value problems for the second order mixed monotone type of impulsive differential equations and its application.

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.