高阶非齐次复微分方程解的增长性  

Growth of solutions of higher order nonhomogeneous complex differential equations

作　　者：王玲 秦大专 覃智高 WANG Ling;QIN Dazhuan;QIN Zhigao(School of Mathematical Sciences,Guizhou Normal University,Guiyang,Guizhou 550025,China)

机构地区：[1]贵州师范大学数学科学学院,贵州贵阳550025

出　　处：《贵州师范大学学报（自然科学版）》2022年第2期67-70,共4页Journal of Guizhou Normal University：Natural Sciences

基　　金：国家自然科学基金(11861023);贵州省科技计划基金(黔科合平台人才[2018]5769-05号)资助项目

摘　　要：利用Nevanlinna理论研究了高阶非齐次复线性微分方程解的增长性,得到了方程的任意非平凡解为无穷级时系数条件的部分结果,另外,为更精确估计解的增长性,也估计了解的超级。In this paper,the growth of solutions of higher order nonhomogeneous complex linear differential equations is studied by using the Nevaninna theory.Some results of the coefficient condition are obtained when any nontrivial solution of the equation is of infinite order.In addition,in order to more accurately estimate the growth of the solution,the hyper-order of the solutions is also estimated.

关 键 词：整函数 非齐次复微分方程 无穷级 超级 

分 类 号：O174.52[理学—数学]