Semigroups For Delay Equations
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Author |
: Andras Batkai |
Publisher |
: CRC Press |
Total Pages |
: 272 |
Release |
: 2005-09-05 |
ISBN-10 |
: 9781439865682 |
ISBN-13 |
: 143986568X |
Rating |
: 4/5 (82 Downloads) |
Synopsis Semigroups for Delay Equations by : Andras Batkai
In most physical, chemical, biological and economic phenomena it is quite natural to assume that the system not only depends on the present state but also on past occurrences. These circumstances are mathematically described by partial differential equations with delay. This book presents, in a systematic fashion, how delay equations can be studied
Author |
: Andras Batkai |
Publisher |
: A K PETERS |
Total Pages |
: 272 |
Release |
: 2019-12 |
ISBN-10 |
: 0367454165 |
ISBN-13 |
: 9780367454166 |
Rating |
: 4/5 (65 Downloads) |
Synopsis Semigroups for Delay Equations by : Andras Batkai
In most physical, chemical, biological and economic phenomena it is quite natural to assume that the system not only depends on the present state but also on past occurrences. These circumstances are mathematically described by partial differential equations with delay. This book presents, in a systematic fashion, how delay equations can be studied in Lp-history spaces. Appendices offering supplementary information and a comprehensive index make this book an ideal introduction and research tool for mathematicians, chemists, biologists and economists.
Author |
: Bátkai András |
Publisher |
: |
Total Pages |
: 259 |
Release |
: 1985 |
ISBN-10 |
: 0568812433 |
ISBN-13 |
: 9780568812437 |
Rating |
: 4/5 (33 Downloads) |
Synopsis Semigroups for Delay Equations by : Bátkai András
Author |
: András Bátkai |
Publisher |
: A K Peters, Ltd. |
Total Pages |
: 259 |
Release |
: 2005 |
ISBN-10 |
: 1568812434 |
ISBN-13 |
: 9781568812434 |
Rating |
: 4/5 (34 Downloads) |
Synopsis Semigroups for Delay Equations by : András Bátkai
In most physical, chemical, biological and economic phenomena it is quite natural to assume that the system not only depends on the present state but also on past occurrences. These circumstances are mathematically described by partial differential equations with delay. This book presents, in a systematic fashion, how delay equations can be studied in Lp-history spaces.Appendices offering supplementary information and a comprehensive index make this book an ideal introduction and research tool for mathematicians, chemists, biologists and economists.
Author |
: Odo Diekmann |
Publisher |
: |
Total Pages |
: 16 |
Release |
: 1986 |
ISBN-10 |
: OCLC:256190439 |
ISBN-13 |
: |
Rating |
: 4/5 (39 Downloads) |
Synopsis Perturbed Dual Semigroups and Delay Equations by : Odo Diekmann
Author |
: |
Publisher |
: |
Total Pages |
: |
Release |
: 2008 |
ISBN-10 |
: OCLC:652259343 |
ISBN-13 |
: |
Rating |
: 4/5 (43 Downloads) |
Synopsis C0-Semigroup Methods for Delay Equations by :
In the dissertation tools for the analysis of well-posedness and asymptotic behaviour of integro-differential equations and delay equations are developed. In the first part (chapter 1 and 2) methods for the determination of the modulus semigroup (smallest dominating C0-semigroup) of a C0-semigroup are provided and applied to various examples such as Volterra semigroups and evolution semigroups and transport evolution equations in networks. The main interest of the second part (chapter 3 and 4) is a type of an integro-differential equation which occurs in the modelling of the flutter of airfoils at subsonic speed. The remarkable property of the equation is the time derivative of the sought function in the integral term. A number of well-posedness criteria are proved for which integration by parts is not possible. The developed methods are also suitable for the derivation of new well-posedness results for other delay semigroups. Corresponding criteria are presented in chapter 4.
Author |
: Klaus-Jochen Engel |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 609 |
Release |
: 2006-04-06 |
ISBN-10 |
: 9780387226422 |
ISBN-13 |
: 0387226427 |
Rating |
: 4/5 (22 Downloads) |
Synopsis One-Parameter Semigroups for Linear Evolution Equations by : Klaus-Jochen Engel
This book explores the theory of strongly continuous one-parameter semigroups of linear operators. A special feature of the text is an unusually wide range of applications such as to ordinary and partial differential operators, to delay and Volterra equations, and to control theory. Also, the book places an emphasis on philosophical motivation and the historical background.
Author |
: Martin Stein |
Publisher |
: |
Total Pages |
: 260 |
Release |
: 2007 |
ISBN-10 |
: OCLC:316298987 |
ISBN-13 |
: |
Rating |
: 4/5 (87 Downloads) |
Synopsis C0-Semigroup Methods for Delay Equations by : Martin Stein
Author |
: Martin Stein |
Publisher |
: |
Total Pages |
: 260 |
Release |
: 2007 |
ISBN-10 |
: OCLC:724076881 |
ISBN-13 |
: |
Rating |
: 4/5 (81 Downloads) |
Synopsis C_1tn0-semigroup Methods for Delay Equations by : Martin Stein
Author |
: Karl Kunisch |
Publisher |
: |
Total Pages |
: 20 |
Release |
: 1980 |
ISBN-10 |
: OCLC:227441529 |
ISBN-13 |
: |
Rating |
: 4/5 (29 Downloads) |
Synopsis A Semigroup Approach to Partial Differential Equations with Delay by : Karl Kunisch
The objective of this investigation is to give sufficient conditions on f and g such that local semigroups can be associated with the equation (1). This will imply representation formulas for the solutions of (1), and secondly to discuss various notions of solutions which have arisen in the study of (1). Although only the autonomous equation is considered here, many of the results remain true if f and g depend on t. (Author).