Partial Neutral Functional Differential Equations with Infinite Delay

Name: Partial Neutral Functional Differential Equations with Infinite Delay
Brand: VDM Verlag
SKU: 9783639268119
Price: 61.15 EUR
Availability: InStock

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

Автор: Hassane Bouzahir

Език:

Корици: С меки корици

Издател: VDM Verlag

Наличност: Налично при издателя, по поръчка

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61.15 € 119.60 лв

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

Информация за книгата

Автор

Hassane Bouzahir

Език

Английски език

Корици

Книга - С меки корици

Издадена

2010

страници

124

EAN

9783639268119

ISBN

3639268113

Enbook ID

06834101

Издател

VDM Verlag

Теглоt

191

Размери

152 x 229 x 7

Пълно описание

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

Информация за книгата

Пълно описание

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