Decomposition solution for Duffing and Van der Pol oscillators.
Adomian, G. (1986)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Adomian, G. (1986)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Krystyna Twardowska, Tomasz Marnik, Monika Pasławska-Południak (2003)
International Journal of Applied Mathematics and Computer Science
Similarity:
A nonlinear filtering problem with delays in the state and observation equations is considered. The unnormalized conditional probability density of the filtered diffusion process satisfies the so-called Zakai equation and solves the nonlinear filtering problem. We examine the solution of the Zakai equation using an approximation result. Our theoretical deliberations are illustrated by a numerical example.
Svetlana Janković (1998)
Zbornik Radova
Similarity:
Turo, Jan (1995)
Journal of Applied Mathematics and Stochastic Analysis
Similarity:
Michał Kisielewicz (1997)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Similarity:
The definition and some existence theorems for stochastic differential inclusions depending only on selections theorems are given.
Saleh, M.M., El-Kalla, I.L., Ehab, M.M. (2007)
Differential Equations & Nonlinear Mechanics
Similarity:
M. Métivier, J. Pellaumail (1976)
Publications mathématiques et informatique de Rennes
Similarity:
Balachandran, K., Kim, J.-H. (2010)
International Journal of Mathematics and Mathematical Sciences
Similarity:
M. Métivier, J. Pellaumail (1977)
Publications mathématiques et informatique de Rennes
Similarity:
Fabio Bagarello (2006)
Banach Center Publications
Similarity:
Nadzeya V. Bedziuk, Aleh L. Yablonski (2010)
Banach Center Publications
Similarity:
We consider an ordinary or stochastic nonlinear equation with generalized coefficients as an equation in differentials in the algebra of new generalized functions in the sense of [8]. Consequently, the solution of such an equation is a new generalized function. We formulate conditions under which the solution of a given equation in the algebra of new generalized functions is associated with an ordinary function or process. Moreover the class of all possible associated functions and processes...
Balachandran, K., Kim, J.-H. (2006)
Journal of Applied Mathematics and Stochastic Analysis
Similarity: