Existence of global solutions of initial value problem for nonlinear impulsive integro-differential equations of mixed type in Banach spaces (Q2778294)
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scientific article; zbMATH DE number 1719605
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of global solutions of initial value problem for nonlinear impulsive integro-differential equations of mixed type in Banach spaces |
scientific article; zbMATH DE number 1719605 |
Statements
13 March 2002
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measure of noncompactness
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comparison result
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Mönch's fixed point theorem
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global solutions
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initial value problem
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nonlinear impulsive integro-differential equations
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Banach spaces
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Existence of global solutions of initial value problem for nonlinear impulsive integro-differential equations of mixed type in Banach spaces (English)
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By the use of a new comparison result and Mönch's fixed point theorem, the existence of global solutions of initial value problem for nonlinear impulsive integro-differential equations of mixed type in Banach spaces is investigated. As an application of our result, the existence of global solutions of two classes of third order mixed boundary value problem for impulsive equations is obtained.
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