Relations between the small functions and the solutions of certain second-order differential equations
Electronic journal of differential equations, Tome 2007 (2007)
In this paper, we investigate the relations between the small functions and the solutions, first, second derivatives, and differential polynomial of the solutions to the differential equation
where $P(z)=a_nz^n+\dots+a_0, Q(z)=b_nz^n+\dots+b_0$ are polynomials with degree $n ( n\geq1), a_i, b_i ( i=0,1,\dots,n), a_nb_n\neq 0$ are complex constants, $A_j(z)\not \equiv 0 (j=0,1)$ are entire functions with $\sigma(A_j)$.
| $ f''+A_1e^{P(z)}f'+A_0e^{Q(z)}f=0, $ |
@article{EJDE_2007__2007__a242,
author = {Liu, Huifang and Mao, Zhiqiang},
title = {Relations between the small functions and the solutions of certain second-order differential equations},
journal = {Electronic journal of differential equations},
year = {2007},
volume = {2007},
zbl = {1297.34098},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a242/}
}
TY - JOUR AU - Liu, Huifang AU - Mao, Zhiqiang TI - Relations between the small functions and the solutions of certain second-order differential equations JO - Electronic journal of differential equations PY - 2007 VL - 2007 UR - http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a242/ LA - en ID - EJDE_2007__2007__a242 ER -
%0 Journal Article %A Liu, Huifang %A Mao, Zhiqiang %T Relations between the small functions and the solutions of certain second-order differential equations %J Electronic journal of differential equations %D 2007 %V 2007 %U http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a242/ %G en %F EJDE_2007__2007__a242
Liu, Huifang; Mao, Zhiqiang. Relations between the small functions and the solutions of certain second-order differential equations. Electronic journal of differential equations, Tome 2007 (2007). http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a242/