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Nonlinear Partial Functional Differential Equations: Existence and Stability

✍ Scribed by Tomás Caraballo

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
169 KB
Volume
262
Category
Article
ISSN
0022-247X

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✦ Synopsis

Existence and uniqueness of solutions for a class of nonlinear functional differential equations in Hilbert spaces are established. Sufficient conditions which guarantee the transference of exponential stability from partial differential equations to partial functional differential equations are studied. The stability results derived are applied also to ordinary differential equations with hereditary characteristics.

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