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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 |
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| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Singapore ; Hackensack, NJ :
World Scientific,
©2011.
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| Colección: | World Scientific series on nonlinear science. Monographs and treatises ;
v. 78. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | 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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| Descripción Física: | 1 online resource (ix, 312 pages). |
| Bibliografía: | Includes bibliographical references (pages 295-310) and index. |
| ISBN: | 981432907X 9789814329071 1283433540 9781283433549 9786613433541 6613433543 |
| ISSN: | 1793-1010 ; |