Acta mathematica scientia,Series A ›› 2014, Vol. 34 ›› Issue (3): 562-572.

• Articles • Previous Articles     Next Articles

Relation Between Small Functions with Differential Polynomials Generated by Solution of Periodic Differential Equations

 XIAO Li-Peng   

  1. Institute of Mathematics and Informations, Jiangxi Normal University, Nanchang |330022
  • Received:2012-06-25 Revised:2013-10-14 Online:2014-06-25 Published:2014-06-25
  • Supported by:

    国家自然科学基金(11126144, 11171119, 11301232)、江西省自然科学基金(20132BAB211009)和江西省教育厅青年科学基金(GJJ12207) 资助

Abstract:

In this paper, the existence of subnormal solution, the growth and the oscillation of solutions of certain second-order nonhomogeneous periodic differential equation are investigated. Also, the relationship between small functions and differential polynomials L(f)=d2f''+d1f'+d0f generated by solutions of the above equation, where d0(z), d1(z), d2(z) are entire functions that are not all equal to zero, is studied.

Key words: Periodic differential equation, Subnormal solution, Hyper-order

CLC Number: 

  • 30D35
Trendmd