In this work, trigonometric stochastic processes arise as mean square solutions of random differential equations, using a random Frรถbenius method. Important operational properties of the trigonometric stochastic processes are established.
Stationary solutions and stability of second order random differential equations
โ Scribed by A. Bezen; F.C. Klebaner
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 553 KB
- Volume
- 233
- Category
- Article
- ISSN
- 0378-4371
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โฆ Synopsis
White-noise perturbations of second-order differential equations are studied. The method of detailed balance is used to obtain stationary solutions of the Fokker-Planck equation. This method is applied to several types of random differential equations both with additive and parametric noises. Stationary moments of a solution of a linear equation are found.
๐ SIMILAR VOLUMES
Necessary and sufficient conditions are obtained for the existence of positive solutions of a nonlinear differential equation. Relations between this equation and an advanced type nonlinear differential equation are also discussed. แฎ 1998 Aca- demic Press y t G t . The solutions vanishing in some ne