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000851593 019__ $$a1059544582
000851593 020__ $$a9783030004491$$q(electronic book)
000851593 020__ $$a303000449X$$q(electronic book)
000851593 020__ $$z9783030004484
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000851593 050_4 $$aQA377.3
000851593 08204 $$a515.35$$223
000851593 1001_ $$aDiagana, Toka,$$eauthor.
000851593 24510 $$aSemilinear evolution equations and their applications /$$cToka Diagana.
000851593 264_1 $$aCham, Switzerland :$$bSpringer,$$c[2018]
000851593 264_4 $$c©2018
000851593 300__ $$a1 online resource.
000851593 336__ $$atext$$btxt$$2rdacontent
000851593 337__ $$acomputer$$bc$$2rdamedia
000851593 338__ $$aonline resource$$bcr$$2rdacarrier
000851593 504__ $$aIncludes bibliographical references and index.
000851593 5058_ $$a1.3.8 Embedding Theorems for Hölder Spaces1.3.9 The Dual Space; 1.3.10 The Schauder Fixed-Point Theorem; 1.3.11 Leray-Schauder Alternative; 1.4 Hilbert Spaces; 1.4.1 Basic Definitions; 1.4.2 Examples of Hilbert Spaces; 1.5 Exercises; 1.6 Comments; 2 Operator Theory; 2.1 Bounded Linear Operators; 2.1.1 Basic Definitions; 2.1.2 Some Classes of Bounded Operators; 2.2 Unbounded Linear Operators; 2.2.1 Basic Definitions; 2.2.2 Examples of Unbounded Operators; 2.2.3 The Adjoint Operator in Banach Spaces; 2.2.4 Spectral Theory; 2.2.5 Sectorial Operators; 2.2.6 Examples of Sectorial Operators
000851593 5058_ $$a2.3 Exercises2.4 Comments; 3 Semi-Group of Linear Operators; 3.1 Introduction; 3.2 Semi-Group of Operators; 3.2.1 Basic Definitions; 3.2.2 Analytic Semi-Groups; 3.2.3 Hyperbolic Semi-Groups; 3.3 Evolution Families; 3.3.1 Basic Definitions; 3.3.2 Acquistapace-Terreni Conditions; 3.3.2.1 Estimates for U(t,s); 3.4 Exercises; 3.5 Comments; 4 Almost Periodic Functions and Sequences; 4.1 Introduction; 4.2 Almost Periodic Functions; 4.2.1 Basic Definitions; 4.2.2 Fourier Series Representation; 4.2.3 Composition of Almost Periodic Functions; 4.3 Asymptotically Almost Periodic Functions
000851593 5058_ $$a4.3.1 Basic Definitions and Properties4.3.2 Composition of Asymptotically Almost Periodic Functions; 4.4 Almost Periodic Sequences; 4.4.1 Basic Definitions; 4.4.2 Properties of Almost Periodic Sequences; 4.4.3 Composition of Almost Periodic Sequences; 4.5 Asymptotically Almost Periodic Sequences; 4.5.1 Basic Definitions; 4.5.2 Properties of Asymptotically Almost Periodic Sequences; 4.6 Exercises; 4.7 Comments; 5 Nonautonomous Difference Equations; 5.1 Introduction; 5.2 Discrete Exponential Dichotomy; 5.3 The Beverton-Holt Model with Overlapping Generations; 5.4 Exercises; 5.5 Comments
000851593 5058_ $$a6 Singular Difference Equations6.1 Introduction; 6.2 The Case of a Linear Equation; 6.2.1 Existence of a Bohr Almost Periodic Solution; 6.2.2 Existence of Besicovitch Almost Periodic Solution; 6.3 The Semilinear Equation; 6.4 Second-Order Singular Difference Equations; 6.5 Exercises; 6.6 Comments; 7 Fractional Integro-Differential Equations; 7.1 Introduction; 7.2 Preliminaries and Notations; 7.3 Main Results; 7.3.1 Existence and Uniqueness; 7.3.2 Estimates for Solutions; 7.3.3 Global Asymptotic Stability of Solutions; 7.4 Example; 7.5 Comments; 8 First-Order Semilinear Evolution Equations
000851593 506__ $$aAccess limited to authorized users.
000851593 588__ $$aOnline resource; title from PDF title page (viewed October 29, 2018).
000851593 650_0 $$aEvolution equations.
000851593 77608 $$iPrint version: $$z3030004481$$z9783030004484$$w(OCoLC)1048937210
000851593 852__ $$bebk
000851593 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-030-00449-1$$zOnline Access$$91397441.1
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