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Titlebook: Advanced Functional Evolution Equations and Inclusions; Saïd Abbas,Mouffak Benchohra Book 2015 Springer International Publishing Switzerla

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Rüdiger Meierjürgen,Karin ScherrerIn this chapter, we introduce notations, definitions, and preliminary facts which are used throughout this book.
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Betriebliche GesundheitsförderungPerturbed partial functional and neutral functional evolution equations with finite and infinite delay are studied in this chapter on the semi-infinite interval .
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https://doi.org/10.1007/978-3-662-54694-9In this chapter, we shall prove the existence of mild solutions of first order impulsive functional equations in a separable Banach space. Our approach will be based for the existence of mild solutions, on a fixed point theorem of Burton and Kirk [88] for the sum of a contraction map and a completely continuous map.
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https://doi.org/10.1007/978-3-211-49299-4In this chapter, we shall establish sufficient conditions for the existence of mild, extremal mild, integral, and extremal integral solutionsfor some impulsive semi-linear neutral functional differential inclusions in separable Banach spaces.We shall rely on a fixed point theorem for the sum of completely continuous and contraction operators.
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https://doi.org/10.1007/978-3-211-49299-4In this chapter, we are concerned by the existence of mild solutionsof functional differential inclusions with delay and multi-valued jumpsin a Banach space.
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Saïd Abbas,Mouffak BenchohraComplements existing literature in functional differential equations and inclusions.Covers equations with time-delay and with impulses.Contains results that appear for the first time in monograph form
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