Ein Existenzsatz für gewöhnliche Differentialgleichungen in Banachräumen-Reference-Cited by-同舟云学术

Ein Existenzsatz für gewöhnliche Differentialgleichungen in Banachräumen

Published:1980 Issue:2 Volume:80 Page:297-300
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Volkmann Peter

Abstract

A positive answer will be given to the question in the books of Martin [4] and Deimling [2], whether initial value problems for ordinary differential equations in Banach spaces are locally solvable, provided the right-hand side of the equation is the sum of two operators of dissipative and compact type, respectively (see Theorem 2 below).

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1980-080-02/S0002-9939-1980-0577763-5/S0002-9939-1980-0577763-5.pdf

Reference5 articles.

1. On existence and uniqueness for differential equations;Deimling, Klaus;Ann. Mat. Pura Appl. (4),1975

2. Lecture Notes in Mathematics, Vol. 596;Deimling, Klaus,1977

3. The generic property of existence of solutions of differential equations in Banach space;Lasota, A.;J. Differential Equations,1973

4. Pure and Applied Mathematics;Martin, Robert H., Jr.,1976

5. Some remarks on ordinary differential equations in Banach spaces;Szufla, S.;Bull. Acad. Polon. Sci. S\'{e}r. Sci. Math. Astronom. Phys.,1968

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