Partial Neutral Functional Differential Equations with Infinite Delay

Name: Partial Neutral Functional Differential Equations with Infinite Delay
Brand: VDM Verlag
SKU: 9783639268119
Price: 1407 CZK
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A Contribution to Quantitative and Qualitative Aspects of Study in Infinite Dimension

Autor: Hassane Bouzahir

Jazyk:

Vazba: Brožovaná

Vydavatel: VDM Verlag

Dostupnost: U nakladatele na objednávku

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In this book, we deal with a class of partial (neutral) functional differential equations with infin...

Informace o knize

Autor

Hassane Bouzahir

Jazyk

Angličtina

Vazba

Kniha - Brožovaná

Vydáno

2010

Stránek

124

EAN

9783639268119

ISBN

3639268113

Enbook ID

06834101

Vydavatel

VDM Verlag

Hmotnost

191

Rozměry

152 x 229 x 7

Kompletní popis

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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Partial Neutral Functional Differential Equations with Infinite Delay

A Contribution to Quantitative and Qualitative Aspects of Study in Infinite Dimension

Informace o knize

Kompletní popis

Mohlo by vás zajímat

Zákaznicí kteří koupili tuto knihu koupili také