Difference equations in normed spaces: Stability and oscillations

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Author(s): M.I. Gil' (Eds.)
Series: North-Holland Mathematics Studies 206
Edition: 1
Publisher: Elsevier, Academic Press
Year: 2007

Language: English
Pages: 1-362

Content:
Preface
Pages v-x

Chapter 1 Definitions and preliminaries Original Research Article
Pages 1-19

Chapter 2 Classes of operators Original Research Article
Pages 21-32

Chapter 3 Functions of finite matrices Original Research Article
Pages 33-55

Chapter 4 Norm estimates for operator functions Original Research Article
Pages 57-74

Chapter 5 Spectrum perturbations Original Research Article
Pages 75-83

Chapter 6 Linear equations with constant operators Original Research Article
Pages 85-103

Chapter 7 Liapunov's type equations Original Research Article
Pages 105-111

Chapter 8 Bounds for spectral radiuses Original Research Article
Pages 113-142

Chapter 9 Linear equations with variable operators Original Research Article
Pages 143-152

Chapter 10 Linear equations with slowly varying coefficients Original Research Article
Pages 153-161

Chapter 11 Nonlinear equations with autonomous linear parts Original Research Article
Pages 163-172

Chapter 12 Nonlinear equations with time-variant linear parts Original Research Article
Pages 173-186

Chapter 13 Higher order linear difference equations Original Research Article
Pages 187-199

Chapter 14 Nonlinear higher order difference equations Original Research Article
Pages 201-214

Chapter 15 Input-to-state stability Original Research Article
Pages 215-222

Chapter 16 Periodic solutions of difference equations and orbital stability Original Research Article
Pages 223-237

Chapter 17 Discrete volterra equations in banach spaces Original Research Article
Pages 239-260

Chapter 18 Convolution type volterra difference equations in euclidean spaces and their perturbations Original Research Article
Pages 261-273

Chapter 19 Stieltjes differential equations Original Research Article
Pages 275-289

Chapter 20 Volterra-stieltjes equations Original Research Article
Pages 291-297

Chapter 21 Difference equations with continuous time Original Research Article
Pages 299-306

Chapter 22 Steady states of difference equations Original Research Article
Pages 307-323

Appendix A. Functions of non-compact operators
Pages 325-339

Notes
Pages 341-345

References
Pages 347-358

List of main symbols
Page 359

Index
Pages 361-362