Some Malmquist type theorems on higher-order partial differential equations with delays

被引：0
作者：
Cao, Tingbin [1 ]
Cheng, Mengnan [1 ]
Peng, Jiahu [1 ]
机构：
[1] Nanchang Univ, Dept Math, Nanchang, Jiangxi, Peoples R China
来源：
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2025年
基金：
中国国家自然科学基金;
关键词：
Nevanlinna theory; Malmquist type theorems; delay partial differential equations;
D O I：
10.1080/17476933.2025.2464785
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we investigate the problem of the existence of admissible meromorphic solutions of (generalized) higher-order partial differential equations with delays by using value distribution theory in complex analysis. This can be seen as the classical Malmquist type theorem generalized to higher-order partial differential equations with delays.
引用
收藏
页数：25
相关论文
共 20 条
  • [1] Malmquist J., Sur les fonctions a un nombre fini de branches définies par les équations différentielles du premier ordre, Acta Math, 36, pp. 297-343, (1913)
  • [2] Yosida K., A generalization of a Malmqviat's theorem, Jpn J Math, 9, pp. 253-256, (1933)
  • [3] Gackstatter F., Laine I., Zur Theorie der gewöhnlichen Differentialgleichungen im Komplexen, Ann Pol Math, 38, 3, pp. 259-287, (1980)
  • [4] Tu Z.H., A Malmquist type theorem of some generalized higher order algebraic differential equations, Complex Var Theory Appl, 17, pp. 265-275, (1992)
  • [5] Tu Z.H., Some Malmquist-type theorems of partial differential equations on, J Math Anal Appl, 179, 1, pp. 41-60, (1993)
  • [6] Tu Z.H., On meromorphic solutions of some algebraic differential partial differential equations on, J Math Anal Appl, 214, 1, pp. 1-10, (1997)
  • [7] Hu P.C., Yang C.C., Malmquist type theorem and factorization of meromorphic solutions of partial differential equations, Complex Var Theory Appl, 27, pp. 269-285, (1995)
  • [8] Hu P.C., Yang C.C., Further results on factorization of meromorphic solutions of partial differential equations, Results Math, 30, 3-4, pp. 310-320, (1996)
  • [9] Gao L.Y., Systems of complex difference equations of Malmquist type, Acta Math Sinica (Chin Ser), 55, pp. 293-300, (2012)
  • [10] Gao L.Y., Solutions of complex higher-order difference equations, Acta Math Sinica (Chin Ser), 56, pp. 451-458, (2013)
12