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Nonlinear boundary value problem for second order impulsive integro-differential equations of mixed type in Banach space

โœ Scribed by Wenjuan Li; Guangxing Song

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
314 KB
Volume
56
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

Using the cone theory and lower and upper solutions, we investigate the existence of extremal solutions of nonlinear boundary value problem for second order impulsive integro-differential equations, which involve the derivative x and deviating argument x(ฮฒ(t)) in Banach space.

๐Ÿ“œ SIMILAR VOLUMES

Global solutions of initial value proble
Global solutions of initial value problems for nonlinear second-order impulsive integro-differential equations of mixed type in Banach spaces
โœ Fei Guo; Lishan Liu; Yonghong Wu; Peg-Foo Siew ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 248 KB

In this paper, we develop a theorem for the existence of global solutions of an initial value problems for a class of second-order impulsive integro-differential equations of mixed type in a real Banach space. The results obtained are the generalizations and improvements of various recent results. A

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.