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Titlebook: Semilinear Evolution Equations and Their Applications; Toka Diagana Book 2018 Springer Nature Switzerland AG 2018 semilinear equation.Hilb

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Operator Theory,In this chapter we review basic operator theory notions that will be used in the sequel. All the materials presented here can be found in most of the classical books on operator theory.
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Semi-Group of Linear Operators,In this chapter, we collect some of the classical results on strongly continuous semi-groups and evolution families needed in the sequel. All the materials presented here can be found in most of the classical books on semi-groups and evolution families.
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Nonautonomous Difference Equations,An autonomous difference equation is an equation of the form .Although these equations play an important role when it comes to studying some models arising in population dynamics, they do not take into account some important parameters such as environmental fluctuations or seasonal changes.
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Singular Difference Equations,The mathematical problem which consists of studying the existence of solutions to singular difference equations with almost periodic coefficients is an important one as almost periodicity, according to Henson et al., is more likely to accurately describe many phenomena occurring in population dynamics than periodicity.
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Semilinear Fractional Evolution Equations,Let . ∈ (0, 1]. The main objective of this chapter consists of acquainting the reader with the fast-growing theory of fractional evolution equations.
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