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Second Order Linear Differential Equations in Banach Spaces

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Author(s): H.O. Fattorini (Eds.)
Series: North-Holland Mathematics Studies 108
Publisher: Elsevier Science Ltd
Year: 1985

Language: English
Pages: ii-xiii, 1-314

Content:
Editor
Page ii

Edited by
Page iii

Copyright page
Page iv

Preface
Pages v-vii
Buenos Aires

List of Symbols
Page xiii

Chapter I The Cauchy Problem for First Order Equations. Semigroup Theory
Pages 1-23

Chapter II The Cauchy Problem for Second Order Equations Cosine Function Theory
Pages 24-42

Chapter III Reduction of a Second Order Equation to a A First Order System. Phase Spaces.
Pages 43-99

Chapter IV Applications to Partial Differential Equations
Pages 100-125

Chapter V Uniformly Bounded Groups and Cosine Functions in Hilbert Space
Pages 126-164

Chapter VI The Parabolic Singular Perturbation Problem
Pages 165-237

Chapter VII Other Singular Perturbation Problems
Pages 238-269

Chapter VIII The Complete Second Order Equation
Pages 270-302

Bibliography Review Article
Pages 303-314