Аннотация:
Получены некоторые новые оценки неванлинновских характеристик мероморфных функций. Эти оценки применены для получения некоторых новых теорем в аналитической теории дифференциальных уравнений. В частности, получены обобщения и усиления теорем Мальмквиста, Стрелица, Банка, Ян Чжун-Чжуня.
Образец цитирования:
А. З. Мохонько, В. Д. Мохонько, “Оценки неванлинновских характеристик некоторых классов мероморфных функций и их приложения к дифференциальным уравнениям”, Сиб. матем. журн., 15:6 (1974), 1305–1322; Siberian Math. J., 15:6 (1974), 921–934
Norbert Steinmetz, Universitext, Nevanlinna Theory, Normal Families, and Algebraic Differential Equations, 2017, 75
Norbert Steinmetz, “First-order algebraic differential equations of genus zero”, Bull. London Math. Soc., 49:3 (2017), 391
Norbert Steinmetz, Universitext, Nevanlinna Theory, Normal Families, and Algebraic Differential Equations, 2017, 1
Norbert Steinmetz, Universitext, Nevanlinna Theory, Normal Families, and Algebraic Differential Equations, 2017, 137
Norbert Steinmetz, Universitext, Nevanlinna Theory, Normal Families, and Algebraic Differential Equations, 2017, 173
Norbert Steinmetz, Universitext, Nevanlinna Theory, Normal Families, and Algebraic Differential Equations, 2017, 33
Norbert Steinmetz, Universitext, Nevanlinna Theory, Normal Families, and Algebraic Differential Equations, 2017, 113
Ling-yun Gao, “m Components-admissible solutions of systems of higher-order partial differential equations on C n”, Acta Math. Appl. Sin. Engl. Ser., 24:2 (2008), 211
Ling-yun Gao, “On the Growth of Components of Meromorphic Solutions of Systems of Complex Differential Equations”, Acta Mathematicae Applicatae Sinica, English Series, 21:3 (2005), 499
Katsuya Ishizaki, Yuefei Wang, “Non-linear differential equations with transcendental meromorphic solutions”, J. Aust. Math. Soc., 70:1 (2001), 88
Ling-Yun Gao, “On m-admissible components of solution”, Complex Variables, Theory and Application: An International Journal, 35:4 (1998), 297
Katsuya Ishizaki, “Deficient and ramified small functions for admissible meromorphic solutions of some differential equations”, Complex Variables, Theory and Application: An International Journal, 13:3-4 (1990), 173
Lee A. Rubel, “A Survey of Transcendentally Transcendental Functions”, The American Mathematical Monthly, 96:9 (1989), 777
Katsuya Ishizaki, “On some generalizations of theorems of Toda and Weissenborn to differential polynomials”, Nagoya Mathematical Journal, 115 (1989), 199
Norbert Steinmetz, “Meromorphe lösungen der differentialgleichung”, Complex Variables, Theory and Application: An International Journal, 10:1 (1988), 31
Nobushige Toda, “On the growth of meromorphic solutions of some algebraic differential equations”, Tohoku Math. J. (2), 38:4 (1986)
Nobushige Toda, “On the growth of meromorphic solutions of an algebraic differential equation”, Proc. Japan Acad. Ser. A Math. Sci., 60:4 (1984)