Suchen und Finden
Service
Infos und Kontakt
Almost Periodic Oscillations and Waves
von: Constantin Corduneanu
Springer-Verlag, 2009
ISBN: 9780387098197, 313 Seiten
Format: PDF, OL
Preis: 67,36 EUR
Preface
5
Contents
7
1 Introduction
9
2 Metric Spaces and Related Topics
22
2.1 Metric Spaces
22
2.2 Banach Spaces and Hilbert Spaces
27
2.3 Function Spaces: Continuous Case
35
2.4 Completion of Metric Spaces
40
2.5 Function Spaces: Measurable Case
45
3 Basic Properties of Almost Periodic Functions
56
3.1 The Space AP1(R, C)
56
3.2 The Space AP(R, C)
60
3.3 The Space S(R, C)
67
3.4 Besicovitch Spaces; the Mean Value
71
3.5 The Space AP(R, X), X-Banach Space
78
3.6 Almost Periodic Functions Depending on Parameters
88
3.7 Variations on the Theme of Almost Periodicity
94
4 Fourier Analysis of Almost Periodic Functions
103
4.1 General Remarks
103
4.2 The Fourier Series Associated to an Almost Periodic Function
105
4.3 Convergence of Fourier Series
111
4.4 Summability of Fourier Series
117
4.5 The Fourier Series of Almost Periodic Functions in Banach Spaces
123
4.6 Further Topics Related to Fourier Series
132
5 Linear Oscillations
137
5.1 The Equation x.(t) = f(t)
137
5.2 Weakly Almost Periodic Functions
143
5.3 The Equation x.(t) = f(t) in Banach Spaces
150
5.4 Linear Oscillations Described by Ordinary Differential Equations
156
5.5 Linear Periodic and Almost Periodic Oscillations in Systems Described by Convolution Equations
162
5.6 Further Results on Almost Periodic Oscillations in Linear Time-Invariant Systems
171
5.7 Almost Periodic Oscillations in Linear Time-Varying Systems
184
6 Almost Periodic Nonlinear Oscillations
191
6.1 Quasilinear Systems
191
6.2 Separated Solutions: Amerio’s Theory
196
6.3 The Second-Order Equation of Nonlinear Oscillations (Li´enard’s Type)
202
6.4 Equations with Monotone Operators
207
6.5 Gradient Type Systems
214
6.6 Qualitative Differential Inequalities
224
6.7 Further Results on Nonlinear Almost Periodic Oscillations; Perturbed Systems
231
6.8 Oscillations in Discrete Processes
236
6.9 Oscillations in Systems Governed by Integral Equations
245
7 Almost Periodic Waves
253
7.1 Some General Remarks
253
7.2 Periodic Solitary Waves in One-Dimensional Hyperbolic and Parabolic Structures
257
7.3 Almost Periodic Heat Waves
262
7.4 Almost Periodic Waves; a Linear Case
273
7.5 Almost Periodic Waves; a Mildly Nonlinear System
280
7.6 A Case with Data on Characteristics
286
7.7 Miscellanea
292
7.8 Quasi-periodic Waves
300
References
307
Index
312
Mehr eBooks vom gleichen Verlag
IT-Governance in der Praxis, von: Andreas Rüter, Jürgen Schröder, Axel Göldner, Preis: 44,99 EUR
Erfolgsprinzip Persönlichkeit, von: Dietmar Hansch, Preis: 21,99 EUR
Informationsmanagement, von: Helmut Krcmar, Preis: 28,99 EUR
@Design - Ästhetik, Kommunikation, Interaktion, von: Christof Breidenich, Preis: 35,99 EUR
Alle Preise verstehen sich inklusive der gesetzlichen MwSt.; Ersparnis im Vergleich zur Printversion