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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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Singapore ; Hackensack, NJ :
World Scientific,
©2011.
|
| Colección: | World Scientific series on nonlinear science. Monographs and treatises ;
v. 78. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Samoĭlenko, A. M. |q (Anatoliĭ Mikhaĭlovich) | |
| 245 | 1 | 0 | |a Qualitative and asymptotic analysis of differential equations with random perturbations / |c Anatoliy M. Samoilenko, Oleksandr Stanzhytskyi. |
| 260 | |a Singapore ; |a Hackensack, NJ : |b World Scientific, |c ©2011. | ||
| 300 | |a 1 online resource (ix, 312 pages). | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a World Scientific series on nonlinear science. Series A, Monographs and treatises, |x 1793-1010 ; |v v. 78 | |
| 504 | |a Includes bibliographical references (pages 295-310) and index. | ||
| 505 | 0 | |a 1. Differential equations with random right-hand sides and impulsive effects -- 2. Invariant sets for systems with random perturbations -- 3. Linear and quasilinear stochastic Ito systems -- 4. Extensions of Ito systems on a torus -- 5. The averaging method for equations with random perturbations. | |
| 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. | ||
| 546 | |a English. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Differential equations, Nonlinear. | |
| 650 | 0 | |a Perturbation (Mathematics) | |
| 650 | 0 | |a Differential equations |x Asymptotic theory. | |
| 650 | 6 | |a Équations différentielles non linéaires. | |
| 650 | 6 | |a Perturbation (Mathématiques) | |
| 650 | 6 | |a Équations différentielles |x Théorie asymptotique. | |
| 650 | 7 | |a MATHEMATICS |x Differential Equations |x General. |2 bisacsh | |
| 650 | 7 | |a Differential equations |x Asymptotic theory |2 fast | |
| 650 | 7 | |a Differential equations, Nonlinear |2 fast | |
| 650 | 7 | |a Perturbation (Mathematics) |2 fast | |
| 650 | 7 | |a Mathematics. |2 hilcc | |
| 650 | 7 | |a Physical Sciences & Mathematics. |2 hilcc | |
| 650 | 7 | |a Mathematical Statistics. |2 hilcc | |
| 700 | 1 | |a Stanzhytskyi, Oleksandr. | |
| 758 | |i has work: |a Qualitative and asymptotic analysis of differential equations with random perturbations (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGRPVyQjc7pgvhbpRQjJrC |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |z 9789814329064 |z 9814329061 |
| 830 | 0 | |a World Scientific series on nonlinear science. |n Series A, |p Monographs and treatises ; |v v. 78. | |
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