Publication detail
Solution of the first boundary-value problem for a system of autonomous second-order linear partial differential equations of parabolic type with a single delay
DIBLÍK, J. KHUSAINOV, D. KUKHARENKO, O. SVOBODA, Z.
Original Title
Solution of the first boundary-value problem for a system of autonomous second-order linear partial differential equations of parabolic type with a single delay
English Title
Solution of the first boundary-value problem for a system of autonomous second-order linear partial differential equations of parabolic type with a single delay
Type
journal article - other
Language
en
Original Abstract
The first boundary-value problem for an autonomous second-order system of linear partial differential equations of parabolic type with a single delay is considered. Assuming that a decomposition of the given system into a system of independent scalar second-order linear partial differential equations of parabolic type with a single delay is possible, an analytical solution to the problem is given in the form of formal series and the character of their convergence is discussed.
English abstract
The first boundary-value problem for an autonomous second-order system of linear partial differential equations of parabolic type with a single delay is considered. Assuming that a decomposition of the given system into a system of independent scalar second-order linear partial differential equations of parabolic type with a single delay is possible, an analytical solution to the problem is given in the form of formal series and the character of their convergence is discussed.
Keywords
Boundary-value problem, linear partial differential equation, delayed exponential function.
RIV year
2012
Released
09.08.2012
ISBN
1085-3375
Periodical
Abstract and Applied Analysis
Year of study
2012
Number
Article ID 21904
State
US
Pages from
1
Pages to
27
Pages count
27
Documents
BibTex
@article{BUT93699,
author="Josef {Diblík} and Denys {Khusainov} and Oleksandra {Kukharenko} and Zdeněk {Svoboda}",
title="Solution of the first boundary-value problem for a system of autonomous second-order linear partial differential equations of parabolic type with a single delay",
annote="The first boundary-value problem for an autonomous second-order system of linear partial differential equations of parabolic type with a single delay is considered. Assuming that a decomposition of the given system into a system of independent scalar second-order linear partial differential equations of parabolic type with a single delay is possible, an analytical solution to the problem is given in the form of formal series and the character of their convergence is discussed.",
chapter="93699",
number="Article ID 21904",
volume="2012",
year="2012",
month="august",
pages="1--27",
type="journal article - other"
}