{
  "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.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.29113",
  "author_total": 2,
  "authors": [
    {
      "name": "Nidhi Gahlian"
    },
    {
      "name": "Sanjay Kumar"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7tp59hcx2ws4z.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.29113",
  "fulltext_url": null,
  "id": "7tp59hcx2ws4z",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.29113",
  "language": null,
  "licence": "CC-BY-NC-SA-4.0",
  "licence_label": "CC BY-NC-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.CV"
    ],
    [
      "openalex",
      "2604|Meromorphic and Entire Functions"
    ]
  ],
  "openalex": "W7214284074",
  "pdf_url": "https://arxiv.org/pdf/2609.29113",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-24",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7tp59hcx2ws4z.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:15Z",
      "native_id": "2609.29113",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.29113"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CV",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Meromorphic Solutions of Certain Kind of Non-Linear Differential equation with finite sums of Exponential Functions",
  "title_text": "Meromorphic Solutions of Certain Kind of Non-Linear Differential equation with finite sums of Exponential Functions",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:15Z",
  "url": "https://research.draconitic.com/paper/7tp59hcx2ws4z",
  "venue": "arXiv",
  "versions": []
}