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Global solutions of initial value problems for nonlinear second-order impulsive integro-differential equations of mixed type in Banach spaces

โœ Scribed by Fei Guo; Lishan Liu; Yonghong Wu; Peg-Foo Siew

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
248 KB
Volume
61
Category
Article
ISSN
0362-546X

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โœฆ Synopsis

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. As an application of the theorem, the existence of global solutions of two mixed boundary value problems for two classes of fourth-order impulsive differential equations are established.

๐Ÿ“œ SIMILAR VOLUMES

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Nonlinear boundary value problem for second order impulsive integro-differential equations of mixed type in Banach space
โœ Wenjuan Li; Guangxing Song ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 314 KB

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.

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โœ Sun Jinli; Ma Yihai ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 100 KB

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.