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Abstract <p>In this paper, we study the entire solutions of nonlinear differential equations related to trigonometric identities. Our results improve the results given by Zhang et al. (Appl. Math. J. Chin. Uni5. 28(2): 138-146, 2013) and Gundersen et al. (J. Math. Anal. Appl. 507: 125788, 2022). Meanwhile, we confirm some of the conjectures proposed by Gao et al. (Mediterr. J. Math. 20: 167, 2023). Finally, some open questions are posed.</p>

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Entire Solutions of Nonlinear Differential Equations Derived from Trigonometric Identities

  • 期刊论文

  • 发表日期：

    2025年10月10日

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  • M.-F. Chen,
  • X.-M. Huang

摘要

Abstract

In this paper, we study the entire solutions of nonlinear differential equations related to trigonometric identities. Our results improve the results given by Zhang et al. (Appl. Math. J. Chin. Uni5. 28(2): 138-146, 2013) and Gundersen et al. (J. Math. Anal. Appl. 507: 125788, 2022). Meanwhile, we confirm some of the conjectures proposed by Gao et al. (Mediterr. J. Math. 20: 167, 2023). Finally, some open questions are posed.