Asymptotic analysis of a certain random differential equation
نویسندگان
چکیده
منابع مشابه
A solution of nonlinear fractional random differential equation via random fixed point technique
In this paper, we investigate a new type of random $F$-contraction and obtain a common random fixed point theorem for a pair of self stochastic mappings in a separable Banach space. The existence of a unique solution for nonlinear fractional random differential equation is proved under suitable conditions.
متن کاملStatistical Analysis of Linear Random Differential Equation
In this paper, a new method is proposed in order to evaluate the stochastic solution of linear random differential equation. The method is based on the combination of the probabilistic transformation method for a single random variable and the numerical methods (e.g. finite difference, finite element, Runge-Kutta, etc...). The transformation technique evaluates the probability density function ...
متن کاملExtreme Analysis of a Random Ordinary Differential Equation
In this paper, we consider a one dimensional stochastic system described by an ellipticequation. A spatially varying random coefficient is introduced to account for uncertainty orimprecise measurements. We model the logarithm of this coefficient by a Gaussian process andprovide asymptotic approximations of the tail probabilities of the derivative of the solution.
متن کاملRandom approximation of a general symmetric equation
In this paper, we prove the Hyers-Ulam stability of the symmetric functionalequation $f(ph_1(x,y))=ph_2(f(x), f(y))$ in random normed spaces. As a consequence, weobtain some random stability results in the sense of Hyers-Ulam-Rassias.
متن کاملNonlinear oscillation of certain third-order neutral differential equation with distributed delay
The authors obtain necessary and sufficient conditions for the existence of oscillatory solutions with a specified asymptotic behavior of solutions to a nonlinear neutral differential equation with distributed delay of third order. We give new theorems which ensure that every solution to be either oscillatory or converges to zero asymptotically. Examples dwelling upon the importance of applicab...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Stochastic Processes and their Applications
سال: 1984
ISSN: 0304-4149
DOI: 10.1016/0304-4149(84)90003-6