Second order almost linear functional differential equations―oscillation

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

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'

Asymptotically Almost Periodic Solutions to Some Classes of Second-order Functional Differential Equations

In this paper, we study the existence of asymptotically almost periodic solutions to some classes of second-order partial functionaldifferential equations with unbounded delay. Our results are, subsequently, applied to studying the existence of asymptotically almost periodic solutions to some integrodifferential equations, which arise in the theory of heat conduction within fading memory materi...

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.