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arXiv · 2609.29113

Meromorphic Solutions of Certain Kind of Non-Linear Differential equation with finite sums of Exponential Functions

Nidhi Gahlian·Sanjay Kumar
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Abstract

We study the existence and nonexistence of meromorphic solutions of nonlinear differential equations involving differential polynomials and finite sums of exponential-type functions with entire coefficients of controlled growth. Employ ing Nevanlinna theory, we obtain structural results showing that any admissible meromorphic solution must reduce to an exponential-type function governed by the dominant exponential term. The obtained lemma and main result strengthen several existing results in nonlinear complex differential equations with exponential terms.

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Nidhi Gahlian, Sanjay Kumar. 2026-09-24. Meromorphic Solutions of Certain Kind of Non-Linear Differential equation with finite sums of Exponential Functions. https://arxiv.org/abs/2609.29113

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