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Meromorphic solutions of a certain type of nonlinear differential equations - MaRDI portal

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Meromorphic solutions of a certain type of nonlinear differential equations (Q6597138)

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scientific article; zbMATH DE number 7905649
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English
Meromorphic solutions of a certain type of nonlinear differential equations
scientific article; zbMATH DE number 7905649

    Statements

    Meromorphic solutions of a certain type of nonlinear differential equations (English)
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    3 September 2024
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    In the paper, using Nevanlinna theory and linear algebra, the authors deal with the solution space of a non-linear differential equations of a known form which is the extension of the paper [\textit{J.-F. Chen} and \textit{G. Lian}, Bull. Korean Math. Soc. 57, No. 4, 1061--1073 (2020; Zbl 1456.30057)] Actually addressing an open question related to the existence and characterization of meromorphic solutions for a specific class of nonlinear complex differential equations the author extend the work of Chen and Lian. The authors also provided the necessary conditions for the existence of meromorphic solutions of the above equation and substantiate their certain claims like sharpness of the condition of the obtained theorem by means of examples.
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    Nevanlinna theory
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    meromorphic solutions
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    nonlinear differential equations
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    Wronskian determinants
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    zeros
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