Existence of solutions for nonlinear impulsive Hammerstein integral equations in Banach spaces (Q1574810)
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scientific article; zbMATH DE number 1490114
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of solutions for nonlinear impulsive Hammerstein integral equations in Banach spaces |
scientific article; zbMATH DE number 1490114 |
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Existence of solutions for nonlinear impulsive Hammerstein integral equations in Banach spaces (English)
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13 August 2000
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The existence of solutions for nonlinear impulsive Hammerstein integral equations with infinite numbers of moments of impulse effect on the infinite interval \(\mathbb{R}^+\) in Banach spaces is studied. By means of Mönch fixed point theorem, an existence theorem of solutions is obtained. The result is demonstrated by means of an infinite system for impulsive integral equations.
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nonlinear impulsive Hammerstein integral equations
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Mönch fixed point theorem
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