节点文献
线性微分方程复振荡的一些结果
SOME RESULTS OF COMPLEX OSCILLATION FOR LINEARDIFFERENTIAL EQUATIONS
【摘要】 本文应用组合优势条件得到广泛一类方程w(k)+Ak-1w(k-1)+…+A1w′+(A0+A)w=0的某一非平凡解f及方程中的函数A都无零点的充分条件,由此得到该类方程复振荡的普遍结果.
【Abstract】 This study obtains sufficient conditions of A and a solution f for the equation w(k)+Ak-1w(k-1)+…+A1w′+(A0+A)w=0 having no zeros by using the combining dominant condition. From this come the universal results of complex oscillation for this class of equations.
【关键词】 复振荡;
微分多项式;
零点收敛指数;
增长级;
【Key words】 complex oscillation; differential polynomial; the exponent of convergence of zerosequence; the order of growth;
【Key words】 complex oscillation; differential polynomial; the exponent of convergence of zerosequence; the order of growth;
【基金】 国家自然科学基金
- 【文献出处】 华南师范大学学报(自然科学版) ,JOURNAL OF SOUTH CHINA NORMAL UNIVERSITY , 编辑部邮箱 ,1998年02期
- 【分类号】O175
- 【下载频次】19