Method of semidiscretization in time for quasilinear integrodifferential equations (Q1774677)
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scientific article; zbMATH DE number 2168626
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Method of semidiscretization in time for quasilinear integrodifferential equations |
scientific article; zbMATH DE number 2168626 |
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Method of semidiscretization in time for quasilinear integrodifferential equations (English)
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18 May 2005
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Summary: We consider the class of quasilinear integrodifferential equations \[ u'(t)+A(u(t))u(t)=f(t,u(t),G(u)(t)),\;0<t\leq T, \;u(0)=u_0, \] in a reflexive Banach space. We apply the method of semidiscretization in time to establish the existence, uniqueness, and continuous dependence on the initial data of strong solutions.
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