Difference Equations and Their Applications:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
1993
|
| Schriftenreihe: | Mathematics and Its Applications
250 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The theory of difference equations is now enjoying a period of Renaissance. Witness the large number of papers in which problems, having at first sight no common features, are reduced to the investigation of subsequent iterations of the maps f· IR. m ~ IR. m, m > 0, or (which is, in fact, the same) to difference equations The world of difference equations, which has been almost hidden up to now, begins to open in all its richness. Those experts, who usually use differential equations and, in fact, believe in their universality, are now discovering a completely new approach which re sembles the theory of ordinary differential equations only slightly. Difference equations, which reflect one of the essential properties of the real world-its discreteness-rightful ly occupy a worthy place in mathematics and its applications. The aim of the present book is to acquaint the reader with some recently discovered and (at first sight) unusual properties of solutions for nonlinear difference equations. These properties enable us to use difference equations in order to model complicated os cillating processes (this can often be done in those cases when it is difficult to apply ordinary differential equations). Difference equations are also a useful tool of syn ergetics- an emerging science concerned with the study of ordered structures. The application of these equations opens up new approaches in solving one of the central problems of modern science-the problem of turbulence |
| Beschreibung: | 1 Online-Ressource (XII, 358 p) |
| ISBN: | 9789401117630 9789401047746 |
| DOI: | 10.1007/978-94-011-1763-0 |
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Datensatz im Suchindex
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| any_adam_object | |
| author | Sharkovsky, A. N. |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| id | DE-604.BV042423859 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:14Z |
| institution | BVB |
| isbn | 9789401117630 9789401047746 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027859276 |
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| series2 | Mathematics and Its Applications |
| spelling | Sharkovsky, A. N. Verfasser aut Difference Equations and Their Applications by A. N. Sharkovsky, Yu. L. Maistrenko, E. Yu. Romanenko Dordrecht Springer Netherlands 1993 1 Online-Ressource (XII, 358 p) txt rdacontent c rdamedia cr rdacarrier Mathematics and Its Applications 250 The theory of difference equations is now enjoying a period of Renaissance. Witness the large number of papers in which problems, having at first sight no common features, are reduced to the investigation of subsequent iterations of the maps f· IR. m ~ IR. m, m > 0, or (which is, in fact, the same) to difference equations The world of difference equations, which has been almost hidden up to now, begins to open in all its richness. Those experts, who usually use differential equations and, in fact, believe in their universality, are now discovering a completely new approach which re sembles the theory of ordinary differential equations only slightly. Difference equations, which reflect one of the essential properties of the real world-its discreteness-rightful ly occupy a worthy place in mathematics and its applications. The aim of the present book is to acquaint the reader with some recently discovered and (at first sight) unusual properties of solutions for nonlinear difference equations. These properties enable us to use difference equations in order to model complicated os cillating processes (this can often be done in those cases when it is difficult to apply ordinary differential equations). Difference equations are also a useful tool of syn ergetics- an emerging science concerned with the study of ordered structures. The application of these equations opens up new approaches in solving one of the central problems of modern science-the problem of turbulence Mathematics Functional equations Differential equations, partial Difference and Functional Equations Partial Differential Equations Mathematical Modeling and Industrial Mathematics Mathematik Anwendung (DE-588)4196864-5 gnd rswk-swf Lösung Mathematik (DE-588)4120678-2 gnd rswk-swf Differenzengleichung (DE-588)4012264-5 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Mathematische Physik (DE-588)4037952-8 gnd rswk-swf Differenzengleichung (DE-588)4012264-5 s Mathematische Physik (DE-588)4037952-8 s 1\p DE-604 Differentialgleichung (DE-588)4012249-9 s 2\p DE-604 Anwendung (DE-588)4196864-5 s 3\p DE-604 Lösung Mathematik (DE-588)4120678-2 s 4\p DE-604 Maistrenko, Yu. L. Sonstige oth Romanenko, E. Yu Sonstige oth https://doi.org/10.1007/978-94-011-1763-0 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Sharkovsky, A. N. Difference Equations and Their Applications Mathematics Functional equations Differential equations, partial Difference and Functional Equations Partial Differential Equations Mathematical Modeling and Industrial Mathematics Mathematik Anwendung (DE-588)4196864-5 gnd Lösung Mathematik (DE-588)4120678-2 gnd Differenzengleichung (DE-588)4012264-5 gnd Differentialgleichung (DE-588)4012249-9 gnd Mathematische Physik (DE-588)4037952-8 gnd |
| subject_GND | (DE-588)4196864-5 (DE-588)4120678-2 (DE-588)4012264-5 (DE-588)4012249-9 (DE-588)4037952-8 |
| title | Difference Equations and Their Applications |
| title_auth | Difference Equations and Their Applications |
| title_exact_search | Difference Equations and Their Applications |
| title_full | Difference Equations and Their Applications by A. N. Sharkovsky, Yu. L. Maistrenko, E. Yu. Romanenko |
| title_fullStr | Difference Equations and Their Applications by A. N. Sharkovsky, Yu. L. Maistrenko, E. Yu. Romanenko |
| title_full_unstemmed | Difference Equations and Their Applications by A. N. Sharkovsky, Yu. L. Maistrenko, E. Yu. Romanenko |
| title_short | Difference Equations and Their Applications |
| title_sort | difference equations and their applications |
| topic | Mathematics Functional equations Differential equations, partial Difference and Functional Equations Partial Differential Equations Mathematical Modeling and Industrial Mathematics Mathematik Anwendung (DE-588)4196864-5 gnd Lösung Mathematik (DE-588)4120678-2 gnd Differenzengleichung (DE-588)4012264-5 gnd Differentialgleichung (DE-588)4012249-9 gnd Mathematische Physik (DE-588)4037952-8 gnd |
| topic_facet | Mathematics Functional equations Differential equations, partial Difference and Functional Equations Partial Differential Equations Mathematical Modeling and Industrial Mathematics Mathematik Anwendung Lösung Mathematik Differenzengleichung Differentialgleichung Mathematische Physik |
| url | https://doi.org/10.1007/978-94-011-1763-0 |
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