Partial Neutral Functional Differential Equations with Infinite Delay | A Contribution to Quantitative and Qualitative Aspects of Study in Infinite Dimension

Editor

VDM Verlag Dr. M�ller

Fecha de publicaci�n

2010

Idioma

Ingl�s

ISBN 10

3639268113

ISBN 13

9783639268119

Encuadernaci�n

Taschenbuch

Estado

Neu

Dimensiones

Peso

231 gramos

Cat�logos de vendedores

B�cher

Acerca de

Sinopsis

In this book, we deal with a class of partial (neutral) functional differential equations with infinite delay. We, first, present some results on functional analysis which are useful. We give an axiomatic presentation of the fundamental theory of the phase space and recall some results on integrated semigroups theory. Then, we discuss existence and regularity of solutions in the case where the nonlinear part F is continuous and Lipschitzian with respect to the second variable. After that, we study existence and regularity of solutions in the case where F is locally Lipschitzian. In the case where global existence is verified, we prove that the solution defines a semigroup that satisfies the translation property. This permits us to study stability of an equilibrium point and prove existence of a global attractor. Besides, we give other sufficient conditions for existence and regularity of solutions, and in the autonomous case; we study stability of an equilibrium point. At the end, we investigate existence of periodic solutions in the case where F is periodic in t.

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