Advanced Functional Evolution Equations and Inclusions - Saïd Abbas, Mouffak Benchohra

Advanced Functional Evolution Equations and Inclusions

Buch | Hardcover
XXI, 408 Seiten
2015 | 2015
Springer International Publishing (Verlag)
978-3-319-17767-0 (ISBN)
53,49 inkl. MwSt

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.

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.

"In this monograph, the authors present their results on various partial functional and neutral functional differential equations and inclusions in infinite dimensional spaces obtained in the last years. The book is organized in 13 chapters, an extensive bibliography and an index. ... This book will be useful to researchers and graduate students interested in functional evolution equations and inclusions." (Rodica Luca, zbMATH, Vol. 1326.34012, 2016)

Erscheint lt. Verlag 13.7.2015
Reihe/Serie Developments in Mathematics
Zusatzinfo XXI, 408 p.
Verlagsort Cham
Sprache englisch
Maße 155 x 235 mm
Themenwelt Mathematik / Informatik Informatik Theorie / Studium
Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Angewandte Mathematik
Schlagworte Banach space • Frechet space • impulses • Initial Value Problem • integro-differential equations • mild solution • nonlinear evolution equations • nonlocal conditions • Ordinary differential equations • Phase space • state-dependent delay • weak solution
ISBN-10 3-319-17767-2 / 3319177672
ISBN-13 978-3-319-17767-0 / 9783319177670
Zustand Neuware
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