On the growth of solutions of second order linear differential equations with extremal coefficients

Authors
Long, Jian Ren Wu, Peng Cheng
Citation
Long, Jian Ren et Wu, Peng Cheng, On the growth of solutions of second order linear differential equations with extremal coefficients, Acta mathematica Sinica. English series (Print) , 29(2), 2013, pp. 365-372
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
29
Issue
2
Year of publication
2013
Pages
365 - 372
Database
ACNP
SICI code
Abstract
In this paper, we consider the differential equation f. +A(z)f. +B(z)f = 0, where A and B . 0 are entire functions. Assume that A is extremal for Yang.s inequality, then we will give some conditions on B which can guarantee that every non-trivial solution f of the equation is of infinite order.