Qualitative and Asymptotic Analysis of Differential Equations with Random Perturbations di Anatoliy M. Samoilenko, Oleksandr Stanzhytskyi edito da World Scientific Publishing Company
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Qualitative and Asymptotic Analysis of Differential Equations with Random Perturbations

EAN:

9789814329064

ISBN:

9814329061

Pagine:
324
Formato:
Hardback
Lingua:
Inglese
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Descrizione 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 the 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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