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Multiple positive solutions of a boundary value problem for nth-order impulsive integro-differential equations in a Banach space

โœ Scribed by Dajun Guo


Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
303 KB
Volume
56
Category
Article
ISSN
0362-546X

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๐Ÿ“œ SIMILAR VOLUMES


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โœ Dajun Guo ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 196 KB

In this paper, the author obtains the existence of multiple positive solutions for a boundary value problem of a class of nth-order nonlinear impulsive integro-differential equations on an infinite interval in a Banach space by means of the fixed point index theory of completely continuous operators

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In this paper, we obtain the existence of multiple positive solutions of a m-point boundary value problem for 2nth-order singular nonlinear integro-differential equations in a Banach space, by means of fixed point index theory of completely continuous operators.

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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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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.