周期微分方程的解生成的微分多项式与小函数的关系  

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

作　　者：肖丽鹏[1] 

机构地区：[1]江西师范大学数学与信息科学学院,南昌330022

出　　处：《数学物理学报（A辑）》2014年第3期562-572,共11页Acta Mathematica Scientia

基　　金：国家自然科学基金(11126144;11171119;11301232);江西省自然科学基金(20132BAB211009);江西省教育厅青年科学基金(GJJ12207)资助

摘　　要：该文研究了某类二阶非齐次周期微分方程的次正规解的存在性,解的增长性及振荡性.同时也研究了由上述方程的解生成的微分多项式L(f)=d_2f″+d_1f′+d_0f与小函数的关系,其中d_0(z),d_1(z),d_2(z)为整函数,不同时为0.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.

关 键 词：周期微分方程 次正规解 超级 

分 类 号：O174.5[理学—数学]