On the Growth of Solutions of Some Second-Order Linear Differential Equations. (6th March 2011)

• Record Type: Journal Article
• Authors: Peng, Feng; Chen, Zong-Xuan
• Other Names: Cabada Alberto Academic Editor.
• Is Part Of: Journal of inequalities and applications. Volume 2011(2011)
• Publication Date: 2011-03-06
• Subjects: Inequalities (Mathematics) -- Periodicals; 512.97
• DOI: 10.1155/2011/635604
• Languages: English
• ISSNs: 1029-242X

Abstract

Abstract : We investigate the growth of solutions off ′ ′ + P ( z ) f ′ + Q ( z ) f = 0, whereP ( z ) andQ ( z ) are entire functions. WhenP ( z ) = e - z andQ ( z ) = A 1 ( z ) e a 1 z + A 2 ( z ) e a 2 z satisfy some conditions, we prove that every nonzero solution of the above equation has infinite order and hyper-order 1, which improve the previous results.