Advanced Functional Evolution Equations and Inclusions / by Saïd Abbas, Mouffak Benchohra.

Format:

Book

Author/Creator:

Abbas, Saīd, Author.

Benchohra, Mouffak, Author.

Series:

Developments in Mathematics, 2197-795X ; 39

Language:

English

Subjects (All):

Differential equations.

Dynamics.

System theory.

Control theory.

Differential Equations.

Dynamical Systems.

Systems Theory, Control.

Local Subjects:

Differential Equations.

Dynamical Systems.

Systems Theory, Control.

Physical Description:

1 online resource (423 p.)

Edition:

1st ed. 2015.

Place of Publication:

Cham : Springer International Publishing : Imprint: Springer, 2015.

Language Note:

English

Summary:

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 Fréchet 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.

Contents:

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.

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

3-319-17768-0