Second order linear differential systems

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

Inequalities for Complex Linear Differential Systems of the Second Order.

where a, f3, y, 6 are complex valued functions of the real variable t. These functions are assumed to be of class C' on some interval, to _ t < T, where T may be c. We also restrict attention to the "general case" in which A = (6 a)2 + 40ry 5 0 and y $ 0 on this interval. The inequalities obtained are the best possible ones of their type and are especially adapted to the case in which a, ,B, y,...

Certain Second Order Linear Differential Subordinations

In this present investigation, we obtain some results for certain second order linear differential subordination. We also discuss some applications of our results.

Second Order Linear and Nonlinear Differential Equations'

A NEW MODIFIED HOMOTOPY PERTURBATION METHOD FOR SOLVING LINEAR SECOND-ORDER FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS

In this paper, we tried to accelerate the rate of convergence in solving second-order Fredholm type Integro-differential equations using a new method which is based on Improved homotopy perturbation method (IHPM) and applying accelerating parameters. This method is very simple and the result is obtained very fast.