Nonlinear semigroups and the existence and stability of solutions of semilinear nonautonomous evolution equations

Nonlinear semigroups and the existence and stability of solutions of semilinear nonautonomous evolution equations

This paper is concerned with the existence and stability of solutions of a class of semilinear nonautonomous evolution equations. A procedure is discussed which associates to each nonautonomous equation the so-called evolution semigroup of (possibly nonlinear) operators. Sufficient conditions for th...

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Bibliographic Details
Main Authors: Bernd Aulbach, Nguyen Van Minh
Format: Article
Language:English
Published: Hindawi Limited 1996-01-01
Series:Abstract and Applied Analysis
Subjects:
Evolutionary process
evolution semigroup
semilinear nonautonomous equation
nonlinear semigroup
stability
periodic solution
accretive operator
integral manifold
instability.
Online Access:http://dx.doi.org/10.1155/S108533759600019X

Internet

http://dx.doi.org/10.1155/S108533759600019X

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