The Fixed Point and Hyper Order of Solutions of Higher Order Nonhomogeneous Linear Differential Equations with Meromorphic Function Coefficents

Article Preview

Abstract:

This paper deals with the fixed point and hyper order of solutions of nonhomogeneous higher order linear differential equations with meromorphic function coefficent, and gets two results of fixed point and hyper order of homogeneous higher order linear differenliad equations.Moreover,we generalize the related results of some authors.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

3297-3300

Citation:

Online since:

October 2011

Authors:

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2012 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] YANG Le. Value Distribution Theory and New Research[M]. Bei jing: Science Press, 1982. (in Chinese).

Google Scholar

[2] HE Yu-zan, XIAO Xiu-zhi. Algebroidal Function and Ordinary Differential Equations[M]. Beijing: Science Press, 1988. (in Chinese).

Google Scholar

[3] Bank S, Laine I. On the oscillation theory of where A is entire. Trans Amer Math Soc, 1982, 273: 351-363.

DOI: 10.1090/s0002-9947-1982-0664047-6

Google Scholar

[4] Ki-Ho kwon. Nonexistence of finite order solutions of certain second oder linear differential equations. Kodai Math J, 1996, 19: 378-387.

DOI: 10.2996/kmj/1138043654

Google Scholar

[5] CHEN Zong-Xuan. The fixed points and hyper order of solutions of second order complex differential equations[J]. Acta Math. Sci. Ser. A Chin Ed., 2000, 20(3): 425-432. (in Chinese).

Google Scholar

[6] JIN Jin The fix point of solutions and the derivatives of Solutions of higher order entire function coefficients linear differential equations[J]. Journal of Mathematical Research & Exposition, 2007, 27(4), 803-813. (in Chinese).

Google Scholar

[7] JIN Jin The fixed point of two order derivatives of Solutions of higher order linear differ-ential Equations[J], Mathematical Theory and Applications, 2007, 27(4), 107-113. (in Chinese).

Google Scholar

[8] CAO Chun-Lei. CHEN zong-Xuan. On the orders and zeros of the solutions of certain linear differential equations with entire coefficients, Acta Mathematicae Applicatae Sinica, 2002, 25(1), 123-131. (in Chinese).

Google Scholar

[9] GAO Shi-an. CHEN Zong xuan, CHEN Te-wei. Theory of Complex Oscillation of Lineear Differential Equation[M]. Wuhan: Huazhong University of Science and Technology Press, 1998: 31-32, 168-171. (in Chinese).

Google Scholar