The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Displaying similar documents to “A pathwise solution for nonlinear parabolic equations with stochastic perturbations”

L ∞ -estimates for solutions of nonlinear parabolic systems with gradient linear growth

Wojciech Zajączkowski (1996)

Banach Center Publications

Similarity:

Existence of weak solutions and an L ∞ -estimate are shown for nonlinear nondegenerate parabolic systems with linear growth conditions with respect to the gradient. The L ∞ -estimate is proved for equations with coefficients continuous with respect to x and t in the general main part, and for diagonal systems with coefficients satisfying the Carathéodory condition.

Strong and weak solutions to stochastic inclusions

Michał Kisielewicz (1995)

Banach Center Publications

Similarity:

Existence of strong and weak solutions to stochastic inclusions x t - x s ∈ ∫ s t F τ ( x τ ) d τ + ∫ s t G τ ( x τ ) d w τ + ∫ s t ∫ ℝ n H τ , z ( x τ ) q ( d τ , d z ) and x t - x s ∈ ∫ s t F τ ( x τ ) d τ + ∫ s t G τ ( x τ ) d w τ + ∫ s t ∫ | z | ≤ 1 H τ , z ( x τ ) q ( d τ , d z ) + ∫ s t ∫ | z | > 1 H τ , z ( x τ ) p ( d τ , d z ) , where p and q are certain random measures, is considered.

Global finite-time stabilization for a class of stochastic nonlinear systems by dynamic state feedback

Weiqing Ai, Junyong Zhai, Shumin Fei (2013)

Kybernetika

Similarity:

This paper addresses the problem of global finite-time stabilization by dynamic state feedback for a class of stochastic nonlinear systems. Firstly, we show a dynamic state transformation, under which the original system is transformed into a new system. Then, a state feedback controller with a dynamic gain is designed for the new system. It is shown that global finite-time stabilization in probability for a class of stochastic nonlinear system under linear growth condition can be guaranteed...