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<p>We give a connection between characterizations of entire solutions of certain nonlinear partial differential equations and Picard type theorems for entire functions, through which characterizations of entire solutions of these equations and new Picard type theorems are obtained. The proofs of the results are concise and efficient, providing also new and shorter arguments as well as extensions of some existing results in the literature.</p>

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Picard Type Theorems and Entire Solutions of Certain Nonlinear Partial Differential Equations

  • 期刊论文

  • 发表日期：

    2025年6月24日

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  • Bao Qin Li,
  • Liu Yang

摘要

We give a connection between characterizations of entire solutions of certain nonlinear partial differential equations and Picard type theorems for entire functions, through which characterizations of entire solutions of these equations and new Picard type theorems are obtained. The proofs of the results are concise and efficient, providing also new and shorter arguments as well as extensions of some existing results in the literature.