Existence of solution for nonlinear Volterra integral equations (Q756643)
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scientific article; zbMATH DE number 4192379
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of solution for nonlinear Volterra integral equations |
scientific article; zbMATH DE number 4192379 |
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Existence of solution for nonlinear Volterra integral equations (English)
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1990
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The authors use Schauder's fixed point theorem to prove the existence of an exponentially bounded solution to the equation \[ x(t)=G(x)g(t,x(h_ 1(t)),...,x(h_ m(t)))+\int^{t}_{0}K(t,s,Tx(s))ds. \]
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nonlinear Volterra integral equations
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Schauder's fixed point theorem
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existence
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exponentially bounded solution
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