On a heat conduction problem by Myshkis

被引：7
|
作者：
Chen, YMJ
Chow, YS [1 ]
Hsieh, J
机构：
[1] Acad Sinica, Inst Math, Taipei 11529, Taiwan
[2] Tamkang Univ, Dept Math, Tamsui 25137, Taipei, Taiwan
来源：
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2000年 / 6卷 / 03期
关键词：
difference equation; heat equation; asymptotic behavior; recurrent relation;
D O I：
10.1080/10236190008808230
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let tau(1) = 1, tau(2), tau(3), ... be recurrently defined by Sigma(j=1)(n)(Sigma(s=j)(n)tau s)(-1/2) = 1 for n = 2, 3, ... The sequence {tau(n)} appeared in a heat conduction problem studied by Myshkis (J. Differ. Equations Appl. 3, 1997, 89-91), He proposed as an open problem the asymptotic expression for tau(n). It is shown in this paper that tau(n) is increasing and lim(n) tau(n)/n = pi(2)/2. AMS Subject Classification: 39A10, 35K05, 93B52.
引用
收藏
页码：309 / 318
页数：10
相关论文
共 50 条
12345