Article
Continuous dependence for implicit differential equations in Banach spaces
Author/s | Domínguez Benavides, Tomás |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 1980 |
Deposit Date | 2016-11-16 |
Published in |
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Abstract | In this paper we derive an existence theorem for the implicit defferential equation F(t, x,x') = 0 ; x(to) = are where F is a β-Lipschitz or α-Lipschitz operator in the second variable. The existence of maximal and unlimited ... In this paper we derive an existence theorem for the implicit defferential equation F(t, x,x') = 0 ; x(to) = are where F is a β-Lipschitz or α-Lipschitz operator in the second variable. The existence of maximal and unlimited solution is studied and a continuous dependence theorem is proved. |
Citation | Domínguez Benavides, T. (1980). Continuous dependence for implicit differential equations in Banach spaces. Collectanea Mathematica, 31 (3), 205-216. |
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