Study of Solutions of Certain Kind of Non-Linear Differential Equations

TL;DR

This paper investigates the existence of solutions for specific non-linear differential and differential-difference equations, providing partial answers to a previously posed problem by Chen et al., advancing understanding in this mathematical area.

Contribution

It offers new insights into the existence of solutions for certain non-linear equations, addressing an open problem posed by Chen et al.

Findings

Partial existence results for non-linear differential equations

Progress towards solving Chen et al.'s open problem

Enhanced understanding of solution conditions for differential-difference equations

Abstract

In this paper we study about the existence of solutions of certain kind of non-linear differential and differential-difference equations. We give partial answer to a problem which was asked by chen et al. in [13].