Existence of solutions of nonlinear functional integro-differential equations in Banach spaces (Q1343198)
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scientific article; zbMATH DE number 716369
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of solutions of nonlinear functional integro-differential equations in Banach spaces |
scientific article; zbMATH DE number 716369 |
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Existence of solutions of nonlinear functional integro-differential equations in Banach spaces (English)
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1 February 1995
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The authors show the existence of a unique limit solution for certain nonlinear functional integro-differential equations of the form \(\dot x(t) + A(t,x_ t) x(t) \ni G(t, x_ t, \int^ t_ 0 k(t,s,x_ s) ds)\) in general Banach spaces.
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unique limit solution
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nonlinear functional integro-differential equations
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Banach spaces
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