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Nonlinear Differential Equations in Abstract Spaces (International Series in Nonlinear Mathematics, V. 2)
Rok: 1981
ISBN: 9780080250380
OKCZID: 110746317
Citace (dle ČSN ISO 690):
LAKSHMIKANTHAM, Vangipuram. Nonlinear Differential Equations in Abstract Spaces. Oxford: Pergamon Press, 1981. 10, 258 s. International Series in Nonlinear Mathematics: Theory, Methods and Applications, 2.
Anotace
Many problems in partial differential equations which arise from physical models can be considered as ordinary differential equations in appropriate infinite dimensional spaces, for which elegant theories and powerful techniques have recently been developed. This book gives a detailed account of the current state of the theory of nonlinear differential equations in a Banach space, and discusses existence theory for differential equations with continuous and discontinuous right-hand sides. Of special importance is the first systematic presentation of the very important and complex theory of multivalued discontinuous differential equations