On the existence of solutions for nonlinear first-order implicit impulsive integro-differential equations (Q1030059)
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scientific article; zbMATH DE number 5573689
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the existence of solutions for nonlinear first-order implicit impulsive integro-differential equations |
scientific article; zbMATH DE number 5573689 |
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On the existence of solutions for nonlinear first-order implicit impulsive integro-differential equations (English)
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1 July 2009
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The authors obtain new existence theorems for the solutions of a new class of initial value problems pertaining to nonlinear first-order implicit impulsive integro-differential equations in Banach spaces under some weaker conditions by employing the Mönch fixed-point theorem.
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nonlinear first-order implicit impulsive integro-differential equations
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initial value problem
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measure of noncompactness
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existence
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Banach spaces
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Mönch fixed-point theorem
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