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Advanced functional evolution equati...

Abbas, Said.

Advanced functional evolution equations and inclusions

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Advanced functional evolution equations and inclusionsby Said Abbas, Mouffak Benchohra.
作者:	Abbas, Said.
其他作者:	Benchohra, Mouffak.
出版者:	Cham :Springer International Publishing :2015.
面頁冊數:	xxi, 408 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Functional differential equations.
電子資源:	http://dx.doi.org/10.1007/978-3-319-17768-7
ISBN:	9783319177687 (electronic bk.)

Advanced functional evolution equations and inclusions
Abbas, Said.

Advanced functional evolution equations and inclusions[electronic resource] /by Said Abbas, Mouffak Benchohra. - Cham :Springer International Publishing :2015. - xxi, 408 p. :ill., digital ;24 cm. - Developments in mathematics,v.391389-2177 ;. - Developments in mathematics ;v.25..

1. Preliminary Background -- 2. Partial Functional Evolution Equations with Finite Delay -- 3. Partial Functional Evolution Equations with Infinite Delay -- 4. Perturbed Partial Functional Evolution Equations -- 5. Partial Functional Evolution Inclusions with Finite Delay -- 6. Partial Functional Evolution Inclusions with Infinite Delay -- 7. Densely Defined Functional Differential Inclusions with Finite Delay -- 8. Non-Densely Defined Functional Differential Inclusions with Finite Delay -- 9. Impulsive Semi-linear Functional Differential Equations -- 10. Impulsive Functional Differential Inclusions with Unbounded Delay -- 11. Functional Differential Inclusions with Multi-valued Jumps -- 12. Global Existence Results for Functional Differential Equations and Inclusions with Delay -- 13. Global Existence Results of Second Order Functional Differential Equations with Delay -- References -- Index.

This book presents up-to-date results on abstract evolution equations and differential inclusions in infinite dimensional spaces. It covers equations with time delay and with impulses, and complements the existing literature in functional differential equations and inclusions. The exposition is devoted to both local and global mild solutions for some classes of functional differential evolution equations and inclusions, and other densely and non-densely defined functional differential equations and inclusions in separable Banach spaces or in Frechet spaces. The tools used include classical fixed points theorems and the measure-of non-compactness, and each chapter concludes with a section devoted to notes and bibliographical remarks. This monograph is particularly useful for researchers and graduate students studying pure and applied mathematics, engineering, biology and all other applied sciences.

ISBN: 9783319177687 (electronic bk.)

Standard No.: 10.1007/978-3-319-17768-7doiSubjects--Topical Terms:

455385
Functional differential equations.

LC Class. No.: QA372

Dewey Class. No.: 515.35

Advanced functional evolution equations and inclusions
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505 0 $a 1. Preliminary Background -- 2. Partial Functional Evolution Equations with Finite Delay -- 3. Partial Functional Evolution Equations with Infinite Delay -- 4. Perturbed Partial Functional Evolution Equations -- 5. Partial Functional Evolution Inclusions with Finite Delay -- 6. Partial Functional Evolution Inclusions with Infinite Delay -- 7. Densely Defined Functional Differential Inclusions with Finite Delay -- 8. Non-Densely Defined Functional Differential Inclusions with Finite Delay -- 9. Impulsive Semi-linear Functional Differential Equations -- 10. Impulsive Functional Differential Inclusions with Unbounded Delay -- 11. Functional Differential Inclusions with Multi-valued Jumps -- 12. Global Existence Results for Functional Differential Equations and Inclusions with Delay -- 13. Global Existence Results of Second Order Functional Differential Equations with Delay -- References -- Index.
520 $a This book presents up-to-date results on abstract evolution equations and differential inclusions in infinite dimensional spaces. It covers equations with time delay and with impulses, and complements the existing literature in functional differential equations and inclusions. The exposition is devoted to both local and global mild solutions for some classes of functional differential evolution equations and inclusions, and other densely and non-densely defined functional differential equations and inclusions in separable Banach spaces or in Frechet spaces. The tools used include classical fixed points theorems and the measure-of non-compactness, and each chapter concludes with a section devoted to notes and bibliographical remarks. This monograph is particularly useful for researchers and graduate students studying pure and applied mathematics, engineering, biology and all other applied sciences.
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