Evolutionary Integral Equations and Applications:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Basel
Birkhäuser Basel
1993
|
| Series: | Monographs in Mathematics
87 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | During the last two decades the theory of abstract Volterra equations has undergone rapid development. To a large extent this was due to the applications of this theory to problems in mathematical physics, such as viscoelasticity, heat conduction in materials with memory, electrodynamics with memory, and to the need of tools to tackle the problems arising in these fields. Many interesting phenomena not found with differential equations but observed in specific examples of Volterra type stimulated research and improved our understanding and knowledge. Although this process is still going on, in particular concerning nonlinear problems, the linear theory has reached a state of maturity. In recent years several good books on Volterra equations have appeared. However, none of them accounts for linear problems in infinite dimensions, and therefore this part of the theory has been available only through the - meanwhile enormous - original literature, so far. The present monograph intends to close this gap. Its aim is a coherent exposition of the state of the art in the linear theory. It brings together and unifies most of the relevant results available at present, and should ease the way through the original literature for anyone intending to work on abstract Volterra equations and its applications. And it exhibits many problems in the linear theory which have not been solved or even not been considered, so far |
| Physical Description: | 1 Online-Ressource (XXVI, 366 p) |
| ISBN: | 9783034885706 9783764328764 |
| ISSN: | 1017-0480 |
| DOI: | 10.1007/978-3-0348-8570-6 |
Staff View
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| id | DE-604.BV042422170 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:10Z |
| institution | BVB |
| isbn | 9783034885706 9783764328764 |
| issn | 1017-0480 |
| language | English |
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| spelling | Prüss, Jan 1951-2018 Verfasser (DE-588)113443625 aut Evolutionary Integral Equations and Applications by Jan Prüss Basel Birkhäuser Basel 1993 1 Online-Ressource (XXVI, 366 p) txt rdacontent c rdamedia cr rdacarrier Monographs in Mathematics 87 1017-0480 During the last two decades the theory of abstract Volterra equations has undergone rapid development. To a large extent this was due to the applications of this theory to problems in mathematical physics, such as viscoelasticity, heat conduction in materials with memory, electrodynamics with memory, and to the need of tools to tackle the problems arising in these fields. Many interesting phenomena not found with differential equations but observed in specific examples of Volterra type stimulated research and improved our understanding and knowledge. Although this process is still going on, in particular concerning nonlinear problems, the linear theory has reached a state of maturity. In recent years several good books on Volterra equations have appeared. However, none of them accounts for linear problems in infinite dimensions, and therefore this part of the theory has been available only through the - meanwhile enormous - original literature, so far. The present monograph intends to close this gap. Its aim is a coherent exposition of the state of the art in the linear theory. It brings together and unifies most of the relevant results available at present, and should ease the way through the original literature for anyone intending to work on abstract Volterra equations and its applications. And it exhibits many problems in the linear theory which have not been solved or even not been considered, so far Science (General) Science, general Naturwissenschaft Volterra-Integralgleichung (DE-588)4234593-5 gnd rswk-swf Volterra-Integralgleichung (DE-588)4234593-5 s 1\p DE-604 Monographs in Mathematics 87 (DE-604)BV000008284 87 https://doi.org/10.1007/978-3-0348-8570-6 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Prüss, Jan 1951-2018 Evolutionary Integral Equations and Applications Monographs in Mathematics Science (General) Science, general Naturwissenschaft Volterra-Integralgleichung (DE-588)4234593-5 gnd |
| subject_GND | (DE-588)4234593-5 |
| title | Evolutionary Integral Equations and Applications |
| title_auth | Evolutionary Integral Equations and Applications |
| title_exact_search | Evolutionary Integral Equations and Applications |
| title_full | Evolutionary Integral Equations and Applications by Jan Prüss |
| title_fullStr | Evolutionary Integral Equations and Applications by Jan Prüss |
| title_full_unstemmed | Evolutionary Integral Equations and Applications by Jan Prüss |
| title_short | Evolutionary Integral Equations and Applications |
| title_sort | evolutionary integral equations and applications |
| topic | Science (General) Science, general Naturwissenschaft Volterra-Integralgleichung (DE-588)4234593-5 gnd |
| topic_facet | Science (General) Science, general Naturwissenschaft Volterra-Integralgleichung |
| url | https://doi.org/10.1007/978-3-0348-8570-6 |
| volume_link | (DE-604)BV000008284 |
| work_keys_str_mv | AT prussjan evolutionaryintegralequationsandapplications |