On a heat conduction problem by Myshkis

Yen Mei J. Chen; Yunshyong Chow; June Hsieh

doi:10.1080/10236190008808230

On a heat conduction problem by Myshkis

Yen Mei J. Chen, Yunshyong Chow, June Hsieh

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

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

Original language	English
Pages (from-to)	309-318
Number of pages	10
Journal	Journal of Difference Equations and Applications
Volume	6
Issue number	3
DOIs	https://doi.org/10.1080/10236190008808230
State	Published - 2000

Keywords

Asymptotic behavior
Difference equation
Heat equation
Recurrent relation

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10.1080/10236190008808230

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title = "On a heat conduction problem by Myshkis",

abstract = "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.",

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AU - Chow, Yunshyong

AU - Hsieh, June

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N2 - 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.

AB - 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.

KW - Asymptotic behavior

KW - Difference equation

KW - Heat equation

KW - Recurrent relation

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DO - 10.1080/10236190008808230

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JO - Journal of Difference Equations and Applications

JF - Journal of Difference Equations and Applications

IS - 3

ER -

On a heat conduction problem by Myshkis

Abstract

Keywords

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