Study of solutions of certain type of non-linear differential-difference equations

Abstract

In this paper, we analyze the solutions of the following non-linear differential-difference equations f^n(z) +\omega f^(n-1)f'(z) +p(z)f(z+c) = p_1e^{\alpha}_1z +p_2e^{\alpha}_2z and f^n(z)f'(z) +q(z)e^Q(z)f(z+c) = p_1e^{\alpha}_1z +p_2e^{\alpha}_2z, where n is a positive integer,\omega, p1, p2,{\alpha}1 & {\alpha}2 are non-zero constants satisfying {\alpha}1 not equal to {\alpha}2, {\alpha}1/{\alpha}2 not equal to (n)^+-1, q(z) is a non-vanishing polynomial and Q(z) is a non-constant polynomial.