We consider the second order linear differential equation $y = \left[ {\frac{{{ \wedge ^2}}}{{{t^\alpha }}}+ g\left( t \right)} \right]y,$ where Λ is a large complex ...

In this paper we are concerned with the oscillation criteria of second order non-linear homogeneous differential equation. Example have been given to illustrate the results. [1] Al-Ashker, M.M.: ...

This article considered the development of a two-point hybrid method for the numerical solution of initial value problems of second order ordinary differential Equations (ODEs) using power series and ...

This repo contains a Jupyter notebook based introduction to ordinary differential equations including first and second order differential equations, Laplace transforms, and systems of equations ...

Almost automorphic solutions represent a sophisticated generalisation of almost periodic functions and have become an increasingly influential concept in the study of differential equations. These ...

Abstract: When edge extraction is performed on images, the method of second-order partial differential equations may result in a phenomenon where a similar feature area undergoes multiple iterations ...

Abstract: Many scientific and real-world problems that occur in science, engineering, and medicine can be represented in differential equations. There is a vital role for differential equations in ...

The first part of the paper deals with an infinite system of weakly coupled (this means that every equation contains derivatives of only one unknown function ...

This paper addresses the limitations of current neural ordinary differential equations (NODEs) in modeling and predicting complex dynamics by introducing a novel framework called ...