SOME　OSCILLATION　THEOREMS　OF　HIGHER　ORDER　NON－HOMOGENEOUS　LINEAR　DIFFERENTIAL　EQUATIONS　WITH　TRANSCENDENTAL　MEROMORPIC　COEFFICIENTS  

作　　者：陈宗煊[1] 高仕安[1] 

机构地区：[1]江西师范大学,华南师范大学

出　　处：《Annals of Differential Equations》1996年第1期28-39,共12页微分方程年刊（英文版）

摘　　要：In this paper, we investigate the complex oscillation of the higher order differential equation where B0, ...,Bk-1,,F 0 are transcendental meromorpic functions having only finitely many poles. We obtain some precise estimates of the exponent of convergence of the zero sequence of meromorphic solutions for the above equation.In this paper, we investigate the complex oscillation of the higher order differential equation where B0, ...,Bk-1,,F 0 are transcendental meromorpic functions having only finitely many poles. We obtain some precise estimates of the exponent of convergence of the zero sequence of meromorphic solutions for the above equation.

关 键 词：Non-homogeneous linear differential equation Meromorphic function Order of growth Zero-sequence AMS No. 34A20 30D35 

分 类 号：O175[理学—数学]