논문KCI 등재
The function analytic in the exterior of a disc and its application to periodic complex oscillation
1
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
We consider the value distribution of a class of the functions analytic in the exterior of a disc and their applications to complex oscillation theory of differential equations with periodic coefficients in the complex plane.
Abstract
We consider the value distribution of a class of the functions analytic in the exterior of a disc and their applications to complex oscillation theory of differential equations with periodic coefficients in the complex plane.
참고문헌 (17)
- S. Bank, "Representations of solutions of periodic second order linear differential equations", J. Reine Angew. Math, 344, pp.1~21 (1983)
- S. Bank, "Oscillation theorems for higher order linear differential equations with entire periodic coefficients", Comment. Math. Univ. St. Paul, 41(1), pp.65~85 (1992)
- L. Bieberbach, "Theorie der gewohnlichen Differentialgleichungen" (1965), Springer-Verlag
- T.-B. Cao, "On the meromorphic solutions of linear differential equations", J. Math. Anal. Appl, 364(1), pp.130~142 (2010)
- Z.-X. Chen, "The hyper order of solutions of second order differential equations and subnormal solutions of periodic equations", Taiwanese J. Math, 14(2), pp.611~628 (2010)
- Z.-X. Chen, "On the zeros and hyper-order of meromorphic solutions of linear differential equations", Ann. Acad. Sci. Fenn. Math, 24(1), pp.215~224 (1999)
- Y. M. Chiang, "On a problem in complex oscillation theory of periodic second order linear differential equations and some related perturbation results", Ann. Acad. Sci. Fenn. Math, 27(2), pp.273~290 (2002)
- S.-A. Gao, "A further result on the complex oscillation theory of periodic second order linear differential equations", Proc. Edinburgh Math. Soc, 33(1), pp.143~158 (1990)
- S.-A. Gao, "On the complex oscillation for a class of homogeneous linear differential equations", Proc. Edinburgh Math. Soc, 43(1), pp.1~13 (2000)
- S.-A. Gao, "A key property of solutions for periodic linear differential equtions", Math. Appl, 13(4), pp.106~110 (2000)
- S.-A. Gao, "A property of solutions and the complex oscillation for a class of higher order periodic linear differential equations", Acta Math. Appl. Sin, 25(4), pp.642~649 (2002)
- S.-A. Gao, "Complex Oscillation Theory of Linear Differential Equations" (1998), Huazhong University of Science and Technology Press
- W. Hayman, "Meromorphic Functions" (1964), Clarendon Press
- I. Laine, "Nevanlinna Theory and Complex Differential Equations" (1993), Walter de Gruyter & Co.
- X.-M. Li, "Some results on the regular solutions of a linear differential equation", Comput. Math. Appl, 56(9), pp.2210~2221 (2008)
- G. Valiron, "Lectures on the General Theory of Integral Functions" (1949), Chelsea
- J. Wang, "Growth of solutions of nonhomogeneous linear differential equations", Abstr. Appl. Anal, pp.11~ (2009)
관련 논문AI추천
HYPER ORDER OF SOLUTIONS OF COMPLEX DIFFERENTIAL EQUATIONS IN THE DISC손광호, Zong-Xuan Chen한국수학교육학회 · 이론수학과 교직수학2009 · 제16권 제1호On the growth of solutions to linear complex differential equations on annuliNan Wu, Zu-Xing Xuan대한수학회 · 대한수학회보2019 · 제56권 제2호On radial oscillation of entire solutions to nonhomogeneous algebraic differential equationsGuowei Zhang대한수학회 · 대한수학회보2018 · 제55권 제2호PROPERTIES OF SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS IN THE COMPLEX PLANE손광호, Zong-Xuan Chen한국수학교육학회 · 이론수학과 교직수학2010 · 제17권 제3호THE ZEROS DISTRIBUTION OF SOLUTIONS OF HIGHER ORDER DIFFERENTIAL EQUATIONS IN AN ANGULAR DOMAINZhibo Huang, Zongxuan Chen대한수학회 · 대한수학회보2010 · 제47권 제3호RADIAL OSCILLATION OF LINEAR DIFFERENTIAL EQUATIONZhaojun Wu대한수학회 · 대한수학회보2012 · 제49권 제5호
이 간행물의 다른 논문 (27건)
Morphic property of a quotient ring over polynomial ringQichuan Wang, Lianggui Feng, Kai Longpp. 1433-1439Note on the ground states of two-component Bose-Einstein condensates with an internal atomic Josephson junctionZhongxue Lu, Zuhan Liupp. 1441-1450On some new theorems on multipliers in harmonic function spaces in higher dimension IIMilos Arsenovic, Romi F. Shamoyanpp. 1451-1469On entire solutions of nonlinear difference-differential equationsSongmin Wang, Sheng Lipp. 1471-1479Some properties of evolution algebrasJ. R. Gomez, B. A. Omirov, R. M. Turdibaev, L. M. Camachopp. 1481-1494
