Existence, uniqueness, and continuous dependence for hereditary differential equations (Q921225)
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scientific article; zbMATH DE number 4165394
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence, uniqueness, and continuous dependence for hereditary differential equations |
scientific article; zbMATH DE number 4165394 |
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Existence, uniqueness, and continuous dependence for hereditary differential equations (English)
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1989
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In the setting of functional differential equations, an abstract hereditary structure is introduced which includes and unifies many formulations already considered by other authors, e.g., \textit{T. S. Angell} [Siam. J. Control Optim. 14, 1-18 (1976; Zbl 0323.49005)], \textit{J. K. Hale} and \textit{M. A. Cruz} [Ann. Mat. Pura Appl., IV. Ser. 85, 63- 81 (1970; Zbl 0194.410)], \textit{G. S. Jones} [Univ. of Maryland Reports (1965) and Math. Syst. Theory 1, 263-278 (1967; Zbl 0154.339)]. In the paper under review, for the new structure, existence, uniqueness, and continuous dependence theorems are given.
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functional differential equations
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hereditary structure
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existence
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uniqueness
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continuous dependence
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