On a heat conduction problem by Myshkis

Yen Mei J. Chen, Yunshyong Chow, June Hsieh

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


Let τ1 = 1, τ2, τ3, . . . be recurrently defined by The sequence {τn} 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 τn. It is shown in this paper that τn, is increasing and limn τn/n = π2/2.

Original languageEnglish
Pages (from-to)309-318
Number of pages10
JournalJournal of Difference Equations and Applications
Issue number3
StatePublished - 2000


  • Asymptotic behavior
  • Difference equation
  • Heat equation
  • Recurrent relation


Dive into the research topics of 'On a heat conduction problem by Myshkis'. Together they form a unique fingerprint.

Cite this