Solution of one heat equation with delay

D. Ya Khusainov; A. F. Ivanov; I. V. Kovarzh

doi:10.1007/s11072-009-0075-3

Solution of one heat equation with delay

D. Ya Khusainov, A. F. Ivanov, I. V. Kovarzh

Penn State Wilkes-Barre

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

32 Scopus citations

Abstract

We prove the existence and uniqueness of a solution of a boundary-value problem for a heat equation with delay. For the construction of a solution, we use a special "delayed exponential function."

Original language	English (US)
Pages (from-to)	260-282
Number of pages	23
Journal	Nonlinear Oscillations
Volume	12
Issue number	2
DOIs	https://doi.org/10.1007/s11072-009-0075-3
State	Published - Nov 2009

All Science Journal Classification (ASJC) codes

Mathematics (miscellaneous)

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10.1007/s11072-009-0075-3

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title = "Solution of one heat equation with delay",

abstract = "We prove the existence and uniqueness of a solution of a boundary-value problem for a heat equation with delay. For the construction of a solution, we use a special {"}delayed exponential function.{"}",

author = "Khusainov, {D. Ya} and Ivanov, {A. F.} and Kovarzh, {I. V.}",

year = "2009",

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doi = "10.1007/s11072-009-0075-3",

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T1 - Solution of one heat equation with delay

AU - Khusainov, D. Ya

AU - Ivanov, A. F.

AU - Kovarzh, I. V.

PY - 2009/11

Y1 - 2009/11

N2 - We prove the existence and uniqueness of a solution of a boundary-value problem for a heat equation with delay. For the construction of a solution, we use a special "delayed exponential function."

AB - We prove the existence and uniqueness of a solution of a boundary-value problem for a heat equation with delay. For the construction of a solution, we use a special "delayed exponential function."

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U2 - 10.1007/s11072-009-0075-3

DO - 10.1007/s11072-009-0075-3

M3 - Article

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SP - 260

EP - 282

JO - Nonlinear Oscillations

JF - Nonlinear Oscillations

IS - 2

ER -

Solution of one heat equation with delay

Abstract

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