A certain functional-differential equation

被引:11
作者
Langley, JK [1 ]
机构
[1] Univ Nottingham, Sch Math Sci, Nottingham NG7 2RD, England
关键词
D O I
10.1006/jmaa.2000.6731
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We resolve some conjectures concerning the zeros t(n) of the solution f of the initial value problem f'(t) = -f(qt), 0 < q < 1, f(0) = 1. In particular, lim(n-->infinity), t(n+1)/t(n) = 1/q. (C) 2000 Academic Press.
引用
收藏
页码:564 / 567
页数:4
相关论文
共 3 条
[1]  
Iserles A., 1993, European J. Appl. Math, V4, P1, DOI [DOI 10.1017/S0956792500000966), 10.1017/S0956792500000966, DOI 10.1017/S0956792500000966]
[2]   On some conjectures by Morris et al. about zeros of an entire function [J].
Liu, YK .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1998, 226 (01) :1-5
[3]  
Morris GR, 1972, Ordinary differential equations, P513