الفهرس | Only 14 pages are availabe for public view |
Abstract Stochastic differential equations (SDEs) are useful for modeling physical, technical, biological and economical dynamical systems in which significant uncertainty is present. Unfortunately, it is in general not possible to give explicit expressions for the solutions to stochastic differential equation, and numerical is a cumbersome affair. It is therefore of great interest to be able to characterize at least qualitatively the behavior of the solutions. The qualitative properties of solutions to SDEs we address are regularity, stochastic boundedness and stochastic stability. Stability theory is one of the most interesting and important fields of applied mathematics having numerous applications in natural sciences as well as in aerospace, naval, mechanical, civil and electrical engineering. |