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 50 条
  • [1] SOME COMPARISON THEOREMS FOR ORDINARY DIFFERENTIAL-EQUATIONS OF HIGHER-ORDER
    CHANTURIA, TA
    BULLETIN DE L ACADEMIE POLONAISE DES SCIENCES-SERIE DES SCIENCES MATHEMATIQUES ASTRONOMIQUES ET PHYSIQUES, 1977, 25 (08): : 749 - 756
  • [2] SOME MALMQUIST-TYPE THEOREMS OF PARTIAL-DIFFERENTIAL EQUATIONS ON C(N)
    TU, ZH
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1993, 179 (01) : 41 - 60
  • [3] Kramer-type sampling theorems associated with higher-order differential equations
    Markett, Clemens
    SAMPLING THEORY SIGNAL PROCESSING AND DATA ANALYSIS, 2023, 21 (01):
  • [4] Comparison theorems for higher-order neutral delay differential equations
    Baculíková B.
    Džurina J.
    J. Appl. Math. Comp., 1-2 (107-118): : 107 - 118
  • [5] The Dirichlet problem for higher-order partial differential equations
    K. B. Sabitov
    Mathematical Notes, 2015, 97 : 255 - 267
  • [6] The Dirichlet problem for higher-order partial differential equations
    Sabitov, K. B.
    MATHEMATICAL NOTES, 2015, 97 (1-2) : 255 - 267
  • [7] ON HIGHER-ORDER HYPERBOLIC PARTIAL-DIFFERENTIAL EQUATIONS
    PACHPATTE, BG
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1990, 21 (10): : 897 - 904
  • [8] Oscillation for systems of higher-order neutral type delay partial differential equations
    Lin, WX
    APPLIED MATHEMATICS AND COMPUTATION, 2004, 156 (01) : 107 - 114
  • [9] Comparison Theorems for Oscillation of Higher-Order Neutral Delay Differential Equations
    Moaaz, Osama
    Salah, Hend
    Al-Jaser, Asma
    Anis, Mona
    Elabbasy, Elmetwally M.
    SYMMETRY-BASEL, 2024, 16 (07):
  • [10] Oscillation of higher-order canonical delay differential equations: comparison theorems
    Salah, Hend
    Moaaz, Osama
    Cesarano, Clemente
    Elabbasy, Elmetwally M.
    PHYSICA SCRIPTA, 2023, 98 (02)
12345