논문KCI 등재
On radial oscillation of entire solutions to nonhomogeneous algebraic differential equations
2
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
In this paper we mainly investigate the properties of the solutions to a type of nonhomogeneous algebraic differential equation in an angular domain. It includes the Borel directions of the solutions, the width of angular domains in which the solutions take its order and the measure of radial distributions of Julia sets of the solutions.
Abstract
In this paper we mainly investigate the properties of the solutions to a type of nonhomogeneous algebraic differential equation in an angular domain. It includes the Borel directions of the solutions, the width of angular domains in which the solutions take its order and the measure of radial distributions of Julia sets of the solutions.
참고문헌 (26)
- R. B. Ash, "Complex variables" (1971), Academic Press
- A. Baernstein, "Proof of Edrei's spread conjecture", Proc. London Math. Soc. (3), 26, pp.418~434 (1973)
- I. N. Baker, "Sets of non-normality in iteration theory", J. London Math. Soc., 40, pp.499~502 (1965)
- W. Bergweiler, "Iteration of meromorphic functions", Bull. Amer. Math. Soc. (N.S.), 29(2), pp.151~188 (1993)[DOI]
- C. T. Chuang, "On Borel directions of meromorphic functions of infinite order II", Bull. Hong Kong Math. Soc., 2(2), pp.305~323 (1999)
- A. A. Gol'dberg, "Value distribution of meromorphic function;AMS Translations of Mathematical Monographs Series" (2008)
- W. Hayman, "Meromorphic Functions" (1964), Clarendon Press
- Z. Huang, "On the radial distribution of Julia sets of entire solutions of <TEX>$f^-(n)}\;+\;A(z)f\;=\;0$<", TEX>, 2012, pp.387(2), 1106~1113
- Z. Huang, "On limit directions of Julia sets of entire solutions of linear differential equations", J. Math. Anal. Appl., 409(1), pp.478~484 (2014)[DOI]
- Z. Huang, "The radial oscillation of entire solutions of complex differential equations", J. Math. Anal. Appl., 431(2), pp.988~999 (2015)[DOI]
- I. Laine, "Nevanlinna Theory and Complex Differential Equations" (1993), Walter de Gruyter
- L. W. Liao, "On solutions to nonhomogeneous algebraic differential equations and their application", J. Aust. Math. Soc., 97(3), pp.391~403 (2014)[DOI]
- H. Milloux, "Sur les directions de Borel des fonctions entieres, de leurs derivees et de leurs integrales", J. Anal. Math., 1, pp.244~330 (1951)[DOI]
- J. Qiao, "On limiting directions of Julia set", Ann. Acad. Sci. Fenn. Math., 26(2), pp.391~399 (2001)
- L. Qiu, "Radial distributions of Julia sets of meromorphic functions", J. Aust. Math. Soc., 81(3), pp.363~368 (2006)[DOI]
- D. C. Sun, "Common Borel directions of meromorphic functions of infinite order and its derivatives", Acta Math. Sinica, 30(5), pp.641~647 (1987)
- G. Valiron, "Recherches sur le theoreme de M. Borel dans la theorie des fonctions meromorphes", Acta Math., 52, pp.67~92 (1928)
- S. Wang, "On radial distributions of Julia sets of meromorphic functions", Taiwanese J. Math., 11(5), pp.1301~1313 (2007)[DOI]
- S. J. Wu, "Angular distribution in complex oscillation theory", Sci. China Ser., 48(1), pp.107~114 (2005)
- C. C. Yang, "Uniqueness Theory of Meromorphic Functions" (2003), Kluwer Academic Publishers
- L. Yang, "Borel directions of meromorphic functions in an angular domain", Sci. China Math. Ser., 1, pp.149~163 (1979)
- L. Yang, "Value distribution theory" (1993), Springer-Verlag
- G. W. Zhang, "Radial distribution of Julia sets of derivatives of solutions of complex linear differential equations", Sci. Sin. Math., 44, pp.693~700 (2014)[DOI]
- G. W. Zhang, "On radial distributions of Julia sets of Newton's method of solutions of complex differential equations", Proc. Japan Acad. Ser. A Math. Sci., 92(1), pp.1~6 (2016)[DOI]
- J. H. Zheng, "Dynamics of Meromorphic Functions" (2006), Tsinghua University Press
- J. H. Zheng, "Some properties of Fatou and Julia sets of transcendental meromorphic functions", Bull. Aust. Math. Soc., 66(1), pp.1~8 (2002)[DOI]
관련 논문AI추천
THE ZEROS DISTRIBUTION OF SOLUTIONS OF HIGHER ORDER DIFFERENTIAL EQUATIONS IN AN ANGULAR DOMAINZhibo Huang, Zongxuan Chen대한수학회 · 대한수학회보2010 · 제47권 제3호On the growth of algebroid solutions of algebraic differential equationsLinlin Wu, Manli Liu대한수학회 · 대한수학회보2024 · 제61권 제3호RADIAL OSCILLATION OF LINEAR DIFFERENTIAL EQUATIONZhaojun Wu대한수학회 · 대한수학회보2012 · 제49권 제5호On the Order of Growth of Solutions to Complex Nonhomogeneous Linear Differential EquationsBenharrat Belaidi, Habib Habib경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2016 · 제56권 제3호Some results on meromorphic solutions of certain nonlinear differential equationsLian-Zhong Yang, Nan Li대한수학회 · 대한수학회보2020 · 제57권 제5호On solutions to some nonlinear difference and differential equationsPei-Chu Hu, Wei Chen, Yingying Zhang대한수학회 · 대한수학회지2016 · 제53권 제4호
이 간행물의 다른 논문 (27건)
Scalar curvature comparisons of level hypersurfaces of geodesic spheres김종률pp. 331-340Additive self-dual codes over fields of even orderSteven T. Dougherty, 김종락, 이나리pp. 341-357On closing codesSomayyeh Jangjooye Shaldehipp. 359-366On $m$-isometric Toeplitz operators이종락, 고은길pp. 367-378Existence and long-time behavior of solutions to Navier-Stokes-Voigt equations with infinite delayDang Thi Phuong Thanh, Cung The Anhpp. 379-403
