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 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.

• Banach space
• Frechet space
• impulses
• initial value problem
• integro-differential equations
• mild solution
• nonlinear evolution equations
• nonlocal conditions
• phase space
• state-dependent delay
• weak solution
• ordinary differential equations

“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)

• Laboratoire de Mathématiques, Université de Saïda, Saïda, Algeria

  Saïd Abbas

• Department of Mathematics, University of Sidi Bel Abbes, Sidi Bel Abbes, Algeria

  Mouffak Benchohra

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