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arXiv · 2604.25751

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

Nidhi Gahlian
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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.

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Nidhi Gahlian. 2026-04-28. Study of solutions of certain type of non-linear differential-difference equations. https://arxiv.org/abs/2604.25751

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