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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.

Mathematics. --- Ordinary Differential Equations. --- Dynamical Systems and Ergodic Theory. --- Systems Theory, Control. --- Differentiable dynamical systems. --- Differential Equations. --- Systems theory. --- Mathématiques --- Dynamique différentiable --- Differential inclusions. --- Functional differential equations. --- Mathematics --- Physical Sciences & Mathematics --- Calculus --- Inclusions, Differential --- Differential equations, Functional --- Dynamics. --- Ergodic theory. --- Differential equations. --- System theory. --- Differentiable dynamical systems --- Differential equations --- Set-valued maps --- Functional equations --- Differential dynamical systems --- Dynamical systems, Differentiable --- Dynamics, Differentiable --- Global analysis (Mathematics) --- Topological dynamics --- 517.91 Differential equations --- Systems, Theory of --- Systems science --- Science --- Ergodic transformations --- Continuous groups --- Mathematical physics --- Measure theory --- Transformations (Mathematics) --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Philosophy