Electron. J. Diff. Equ., Vol. 2014 (2014), No. 51, pp. 1-12.

Growth of solutions to second-order complex differential equations

Nan Li, Lianzhong Yang

Abstract:
In this article, we study the existence of non-trivial subnormal solutions for second-order linear differential equations. We show that under certain conditions some differential equations do not have subnormal solutions, also that the hyper-order of every solution equals one.

Submitted September 25, 2013. Published February 19, 2014.
Math Subject Classifications: 30D35, 34M10.
Key Words: Differential equation; subnormal solution; hyper order.

Show me the PDF file (248 KB), TEX file, and other files for this article.

Nan Li
School of Mathematics, Shandong University
Jinan, Shandong Province, 250100, China
email: nanli32787310@gmail.com
Lianzhong Yang
School of Mathematics, Shandong University
Jinan, Shandong Province, 250100, China
email: lzyang@sdu.edu.cn

Return to the EJDE web page