Generalized Solutions Of Functional Differential Equations
Seiten
1993
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-02-1207-0 (ISBN)
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-02-1207-0 (ISBN)
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Addresses the investigation of functional differential equations with discontinuous delays. Describes recent work on differential equations with piecewise continuous arguments (EPCA) and emphasizes exploration of differential and functional differential equations in spaces of generalized functions.
The need to investigate functional differential equations with discontinuous delays is addressed in this book. Recording the work and findings of several scientists on differential equations with piecewise continuous arguments over the last few years, this book serves as a useful source of reference. Great interest is placed on discussing the stability, oscillation and periodic properties of the solutions. Considerable attention is also given to the study of initial and boundary-value problems for partial differential equations of mathematical physics with discontinuous time delays. In fact, a large part of the book is devoted to the exploration of differential and functional differential equations in spaces of generalized functions (distributions) and contains a wealth of new information in this area. Each topic discussed appears to provide ample opportunity for extending the known results. A list of new research topics and open problems is also included as an update.
The need to investigate functional differential equations with discontinuous delays is addressed in this book. Recording the work and findings of several scientists on differential equations with piecewise continuous arguments over the last few years, this book serves as a useful source of reference. Great interest is placed on discussing the stability, oscillation and periodic properties of the solutions. Considerable attention is also given to the study of initial and boundary-value problems for partial differential equations of mathematical physics with discontinuous time delays. In fact, a large part of the book is devoted to the exploration of differential and functional differential equations in spaces of generalized functions (distributions) and contains a wealth of new information in this area. Each topic discussed appears to provide ample opportunity for extending the known results. A list of new research topics and open problems is also included as an update.
Analytic and distributional solutions of functional differential equations; co-existence of analytic and distributional solutions for linear differential equations; differential equations with piecewise continuous argument; partial differential equations with piecewise continuous time delay.
| Erscheint lt. Verlag | 1.5.1993 |
|---|---|
| Verlagsort | Singapore |
| Sprache | englisch |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
| ISBN-10 | 981-02-1207-0 / 9810212070 |
| ISBN-13 | 978-981-02-1207-0 / 9789810212070 |
| Zustand | Neuware |
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