Theory of Differential Equations with Unbounded Delay:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Springer US
1994
|
| Schriftenreihe: | Mathematics and Its Applications
298 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Because the theory of equations with delay terms occurs in a variety of contexts, it is important to provide a framework, whenever possible, to handle as many cases as possible simultaneously so as to bring out a better insight and understanding of the subtle differences of the various equations with delays. Furthermore, such a unified theory would avoid duplication and expose open questions that are significant for future research. It is in this spirit that the authors view the importance of their monograph, which presents a systematic and unified theory of recent developments of equations with unbounded delay, describes the current state of the theory showing the essential unity achieved, and provides a general structure applicable to a variety of problems. It is the first book that: (i) presents a unified framework to investigate the basic existence theory for a variety of equations with delay; (ii) treats the classification of equations with memory precisely so as to bring out the subtle differences between them; (iii) develops a systematic study of stability theory in terms of two different measures which includes several known concepts; and (iv) exhibits the advantages of employing Lyapunov functions on product spaces as well as the method of perturbing Lyapunov functions. This book will be of value to researchers and advanced graduate students in mathematics, electrical engineering and biomathematics |
| Beschreibung: | 1 Online-Ressource (XII, 386 p) |
| ISBN: | 9781461526063 9781461361169 |
| DOI: | 10.1007/978-1-4615-2606-3 |
Internformat
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| 245 | 1 | 0 | |a Theory of Differential Equations with Unbounded Delay |c by V. Lakshmikantham, Lizhi Wen, Binggen Zhang |
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| 490 | 0 | |a Mathematics and Its Applications |v 298 | |
| 500 | |a Because the theory of equations with delay terms occurs in a variety of contexts, it is important to provide a framework, whenever possible, to handle as many cases as possible simultaneously so as to bring out a better insight and understanding of the subtle differences of the various equations with delays. Furthermore, such a unified theory would avoid duplication and expose open questions that are significant for future research. It is in this spirit that the authors view the importance of their monograph, which presents a systematic and unified theory of recent developments of equations with unbounded delay, describes the current state of the theory showing the essential unity achieved, and provides a general structure applicable to a variety of problems. It is the first book that: (i) presents a unified framework to investigate the basic existence theory for a variety of equations with delay; (ii) treats the classification of equations with memory precisely so as to bring out the subtle differences between them; (iii) develops a systematic study of stability theory in terms of two different measures which includes several known concepts; and (iv) exhibits the advantages of employing Lyapunov functions on product spaces as well as the method of perturbing Lyapunov functions. This book will be of value to researchers and advanced graduate students in mathematics, electrical engineering and biomathematics | ||
| 650 | 4 | |a Mathematics | |
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Datensatz im Suchindex
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| author | Lakshmikantham, V. |
| author_facet | Lakshmikantham, V. |
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| building | Verbundindex |
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| dewey-full | 515.352 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.352 |
| dewey-search | 515.352 |
| dewey-sort | 3515.352 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4615-2606-3 |
| format | Electronic eBook |
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| id | DE-604.BV042420868 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:07Z |
| institution | BVB |
| isbn | 9781461526063 9781461361169 |
| language | English |
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| physical | 1 Online-Ressource (XII, 386 p) |
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| series2 | Mathematics and Its Applications |
| spelling | Lakshmikantham, V. Verfasser aut Theory of Differential Equations with Unbounded Delay by V. Lakshmikantham, Lizhi Wen, Binggen Zhang Boston, MA Springer US 1994 1 Online-Ressource (XII, 386 p) txt rdacontent c rdamedia cr rdacarrier Mathematics and Its Applications 298 Because the theory of equations with delay terms occurs in a variety of contexts, it is important to provide a framework, whenever possible, to handle as many cases as possible simultaneously so as to bring out a better insight and understanding of the subtle differences of the various equations with delays. Furthermore, such a unified theory would avoid duplication and expose open questions that are significant for future research. It is in this spirit that the authors view the importance of their monograph, which presents a systematic and unified theory of recent developments of equations with unbounded delay, describes the current state of the theory showing the essential unity achieved, and provides a general structure applicable to a variety of problems. It is the first book that: (i) presents a unified framework to investigate the basic existence theory for a variety of equations with delay; (ii) treats the classification of equations with memory precisely so as to bring out the subtle differences between them; (iii) develops a systematic study of stability theory in terms of two different measures which includes several known concepts; and (iv) exhibits the advantages of employing Lyapunov functions on product spaces as well as the method of perturbing Lyapunov functions. This book will be of value to researchers and advanced graduate students in mathematics, electrical engineering and biomathematics Mathematics Functional equations Differential Equations Ordinary Differential Equations Difference and Functional Equations Mathematik Differentialgleichung mit nacheilendem Argument (DE-588)4199298-2 gnd rswk-swf Differentialgleichung mit nacheilendem Argument (DE-588)4199298-2 s 1\p DE-604 Wen, Lizhi Sonstige oth Zhang, Binggen Sonstige oth https://doi.org/10.1007/978-1-4615-2606-3 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Lakshmikantham, V. Theory of Differential Equations with Unbounded Delay Mathematics Functional equations Differential Equations Ordinary Differential Equations Difference and Functional Equations Mathematik Differentialgleichung mit nacheilendem Argument (DE-588)4199298-2 gnd |
| subject_GND | (DE-588)4199298-2 |
| title | Theory of Differential Equations with Unbounded Delay |
| title_auth | Theory of Differential Equations with Unbounded Delay |
| title_exact_search | Theory of Differential Equations with Unbounded Delay |
| title_full | Theory of Differential Equations with Unbounded Delay by V. Lakshmikantham, Lizhi Wen, Binggen Zhang |
| title_fullStr | Theory of Differential Equations with Unbounded Delay by V. Lakshmikantham, Lizhi Wen, Binggen Zhang |
| title_full_unstemmed | Theory of Differential Equations with Unbounded Delay by V. Lakshmikantham, Lizhi Wen, Binggen Zhang |
| title_short | Theory of Differential Equations with Unbounded Delay |
| title_sort | theory of differential equations with unbounded delay |
| topic | Mathematics Functional equations Differential Equations Ordinary Differential Equations Difference and Functional Equations Mathematik Differentialgleichung mit nacheilendem Argument (DE-588)4199298-2 gnd |
| topic_facet | Mathematics Functional equations Differential Equations Ordinary Differential Equations Difference and Functional Equations Mathematik Differentialgleichung mit nacheilendem Argument |
| url | https://doi.org/10.1007/978-1-4615-2606-3 |
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