Existence of solutions for quasi-nonlinear functional evolutions in Banach spaces (Q2766300)
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scientific article; zbMATH DE number 1696199
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of solutions for quasi-nonlinear functional evolutions in Banach spaces |
scientific article; zbMATH DE number 1696199 |
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28 January 2002
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quasi-nonlinear functional evolution equations
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existence
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solutions
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Existence of solutions for quasi-nonlinear functional evolutions in Banach spaces (English)
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The author presents some existence and approximation results due to \textit{A. G. Kartsatos} and \textit{X. Liu} [Nonlinear Anal., Theory Methods Appl. 29, No. 4, 385-414 (1997; Zbl 0881.34083)] on the quasi-nonlinear functional evolution equation NEWLINE\[NEWLINE\frac{du}{dt}(t)+A(t,u_t)u(t)\ni G(t,u_t,L_tu),\qquad 0\leq t\leq T, \qquad u(t)=\phi_0(t), \quad -r\leq t\leq 0.NEWLINE\]NEWLINENEWLINENEWLINEFor the entire collection see [Zbl 0973.00042].
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