Qualitative and asymptotic analysis of differential equations with random perturbations:
Differential equations with random perturbations are the mathematical models of real-world processes that cannot be described via deterministic laws, and their evolution depends on random factors. The modern theory of differential equations with random perturbations is on the edge of two mathematica...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c2011
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| Schlagworte: | |
| Online-Zugang: | FHN01 URL des Erstveroeffentlichers |
| Zusammenfassung: | Differential equations with random perturbations are the mathematical models of real-world processes that cannot be described via deterministic laws, and their evolution depends on random factors. The modern theory of differential equations with random perturbations is on the edge of two mathematical disciplines : random processes and ordinary differential equations. Consequently, the sources of these methods come both from the theory of random processes and from the classic theory of differential equations. This work focuses on the approach to stochastic equations from the perspective of ordinary differential equations. For this purpose, both asymptotic and qualitative methods which appeared in the classical theory of differential equations and nonlinear mechanics are developed |
| Beschreibung: | ix, 312 p |
| ISBN: | 9789814329071 |
Internformat
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| 520 | |a Differential equations with random perturbations are the mathematical models of real-world processes that cannot be described via deterministic laws, and their evolution depends on random factors. The modern theory of differential equations with random perturbations is on the edge of two mathematical disciplines : random processes and ordinary differential equations. Consequently, the sources of these methods come both from the theory of random processes and from the classic theory of differential equations. This work focuses on the approach to stochastic equations from the perspective of ordinary differential equations. For this purpose, both asymptotic and qualitative methods which appeared in the classical theory of differential equations and nonlinear mechanics are developed | ||
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Datensatz im Suchindex
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| author | Samojlenko, Anatolij M. 1938-2020 |
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| dewey-sort | 3515.35 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV044638297 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:53Z |
| institution | BVB |
| isbn | 9789814329071 |
| language | English |
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| physical | ix, 312 p |
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| spelling | Samojlenko, Anatolij M. 1938-2020 Verfasser (DE-588)108416569 aut Qualitative and asymptotic analysis of differential equations with random perturbations Anatoliy M. Samoilenko, Oleksandr Stanzhytskyi Singapore World Scientific Pub. Co. c2011 ix, 312 p txt rdacontent c rdamedia cr rdacarrier Differential equations with random perturbations are the mathematical models of real-world processes that cannot be described via deterministic laws, and their evolution depends on random factors. The modern theory of differential equations with random perturbations is on the edge of two mathematical disciplines : random processes and ordinary differential equations. Consequently, the sources of these methods come both from the theory of random processes and from the classic theory of differential equations. This work focuses on the approach to stochastic equations from the perspective of ordinary differential equations. For this purpose, both asymptotic and qualitative methods which appeared in the classical theory of differential equations and nonlinear mechanics are developed Differential equations / Asymptotic theory Mathematical analysis Störungstheorie (DE-588)4128420-3 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 s Störungstheorie (DE-588)4128420-3 s 1\p DE-604 Stanzhytskyi, Oleksandr Sonstige oth Erscheint auch als Druck-Ausgabe 9789814329064 Erscheint auch als Druck-Ausgabe 9814329061 http://www.worldscientific.com/worldscibooks/10.1142/8016#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Samojlenko, Anatolij M. 1938-2020 Qualitative and asymptotic analysis of differential equations with random perturbations Differential equations / Asymptotic theory Mathematical analysis Störungstheorie (DE-588)4128420-3 gnd Differentialgleichung (DE-588)4012249-9 gnd |
| subject_GND | (DE-588)4128420-3 (DE-588)4012249-9 |
| title | Qualitative and asymptotic analysis of differential equations with random perturbations |
| title_auth | Qualitative and asymptotic analysis of differential equations with random perturbations |
| title_exact_search | Qualitative and asymptotic analysis of differential equations with random perturbations |
| title_full | Qualitative and asymptotic analysis of differential equations with random perturbations Anatoliy M. Samoilenko, Oleksandr Stanzhytskyi |
| title_fullStr | Qualitative and asymptotic analysis of differential equations with random perturbations Anatoliy M. Samoilenko, Oleksandr Stanzhytskyi |
| title_full_unstemmed | Qualitative and asymptotic analysis of differential equations with random perturbations Anatoliy M. Samoilenko, Oleksandr Stanzhytskyi |
| title_short | Qualitative and asymptotic analysis of differential equations with random perturbations |
| title_sort | qualitative and asymptotic analysis of differential equations with random perturbations |
| topic | Differential equations / Asymptotic theory Mathematical analysis Störungstheorie (DE-588)4128420-3 gnd Differentialgleichung (DE-588)4012249-9 gnd |
| topic_facet | Differential equations / Asymptotic theory Mathematical analysis Störungstheorie Differentialgleichung |
| url | http://www.worldscientific.com/worldscibooks/10.1142/8016#t=toc |
| work_keys_str_mv | AT samojlenkoanatolijm qualitativeandasymptoticanalysisofdifferentialequationswithrandomperturbations AT stanzhytskyioleksandr qualitativeandasymptoticanalysisofdifferentialequationswithrandomperturbations |