Advanced Functional Evolution Equations and Inclusions

Advanced Functional Evolution Equations and Inclusions

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 devo...

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Bibliographic Details
Published in:Springer eBooks
Main Authors: Abbas, Saïd (Author), Benchohra, Mouffak (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
Series:Developments in Mathematics,
Subjects:
mathematics.
Dynamics.
Ergodic theory.
Differential Equations.
System theory.
Mathematics.
Ordinary Differential Equations.
Dynamical Systems and Ergodic Theory.
Systems Theory, Control.
Online Access:http://dx.doi.org/10.1007/978-3-319-17768-7
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Table of 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.

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