In recent years, Fuzzy differential equations are very useful indifferent sciences such as physics, chemistry, biology and economy. It should be noted, that if the equations that appear to be uncertain, then take help of fuzzy logic at these equations. Considering that most of the time analytic solution of such equations and finding an exact solution has either high complexity or cannot be solv...

In this paper, by using an initial value problem method and a global inverse function theorem, we give some existence and uniqueness results of periodic solution for a class of nth-order nonlinear ordinary differential equations. AMS (MOS) Subject Classification. 34B10, 34B15, 34L16, 65L05, 65L10

We extend Halphen’s theorem which characterizes the solutions of certain nth-order differential equations with rational coefficients and meromorphic fundamental systems to a first-order n×n system of differential equations. As an application of this circle of ideas we consider stationary rational algebro-geometric solutions of the KdV hierarchy and illustrate some of the connections with comple...

The present investigation is concerned with estimating the rounding error in numerical solution of stochastic differential equations. A statistical rounding error analysis of Euler’s method for stochastic differential equations is performed. In particular, numerical evaluation of the quantities EjXðtnÞ2 Ŷnj and E1⁄2FðŶnÞ2 FðXðtnÞÞ is investigated, where X(tn) is the exact solution at the nth ti...