Existence of entire solutions for k-th derivative of certain type of non-linear differential-difference equations

Jayashri Pattar; Shilpa N

doi:10.56947/amcs.v21.250

Authors

Jayashri Pattar Department of Mathematics, Maharani Cluster University, Bengaluru
Shilpa N Department of Mathematics, School of Engineering, Presidency University, India

DOI:

https://doi.org/10.56947/amcs.v21.250

Keywords:

entire solution, non-linear differential-difference equation, linear shift difference equation, finite order

Abstract

The paper discusses the existence of entire solutions for k th derivative of certain type of non-linear differential-difference equations. In addition to, the paper evaluates some previous results for existence of finite order transcendental entire
solutions and extends to the higher order. Particularly, we obtain the conditions for occurrence and attainable forms of entire solutions.