Analytic stochastic process solutions of second-order random differential equations

Numerical solution of second-order stochastic differential equations with Gaussian random parameters

In this paper, we present the numerical solution of ordinary differential equations (or SDEs), from each order especially second-order with time-varying and Gaussian random coefficients. We indicate a complete analysis for second-order equations in special case of scalar linear second-order equations (damped harmonic oscillators with additive or multiplicative noises). Making stochastic differe...

Analytic Solution of Fuzzy Second Order Differential Equations under H-Derivation

In this paper, the solution of linear second order equations with fuzzy initialvalues are investigated. The analytic general solutions of them using a rstsolution is founded. The parametric form of fuzzy numbers to solve the secondorder equations is applied. The solutions are searched in four cases. Finallythe example is got to illustrate more and the solutions are shown in gures forfour cases.

Analytic Solutions of a Second-Order Functional Differential Equation

On the Order of Solutions of Analytic Linear Differential Equations

(1) d/dxX(z) = A{z)X{z), where X(z) is an n x 1 column vector and A(z) is an n x n matrix of singlevalued meromorphic functions in a neighbourhood of the (isolated) singular point 0. Sometimes we write A instead of A(z) but we always consider a matrix of functions with such a notation unless explicitly stated otherwise. Each fundamental solution matrix for (1) can be represented near zero as (2...

On the stability of linear differential equations of second order

The aim of this paper is to investigate the Hyers-Ulam stability of the  linear differential equation$$y''(x)+alpha y'(x)+beta y(x)=f(x)$$in general case, where $yin C^2[a,b],$  $fin C[a,b]$ and $-infty