一类含有限和指数函数的非线性微分方程的亚纯解
Meromorphic Solutions of Certain Kind of Non-Linear Differential equation with finite sums of Exponential Functions
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中文总结 AI 辅助
本研究利用Nevanlinna理论，探讨含有限和指数函数的非线性微分方程亚纯解的存在性，证明可容许解必为指数型，并强化了现有结果。
中文摘要 AI 辅助
我们研究了涉及微分多项式以及具有受控增长整函数系数的有限和指数型函数的非线性微分方程的亚纯解的存在性与不存在性。利用Nevanlinna理论，我们获得了结构性的结果，表明任何可容许的亚纯解都必须归结为由主导指数项所支配的指数型函数。所得到的引理和主要结果加强了非线性复微分方程中带指数项的若干现有结果。
英文摘要
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.
发表机构
- University of Delhi（德里大学）
- Deen Dayal Upadhyaya College, University of Delhi（迪恩·达亚尔·乌帕迪亚亚学院，德里大学）
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