Citation
Ymj. Chen et al., On a heat conduction problem by Myshkis, J DIF EQ AP, 6(3), 2000, pp. 309-318
Citations number
1
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS
ISSN journal
10236198
→ ACNP
Volume
6
Issue
3
Year of publication
2000
Pages
309 - 318
Database
ISI
SICI code
1023-6198(2000)6:3<309:OAHCPB>2.0.ZU;2-6
Abstract
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 Mysh
kis (J. Differ. Equations Appl. 3, 1997, 89-91), He proposed as an open pro
blem the asymptotic expression for tau(n). It is shown in this paper that t
au(n) is increasing and lim(n) tau(n)/n = pi(2)/2. AMS Subject Classificati
on: 39A10, 35K05, 93B52.