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
Type
journal article - other
Language
English
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.
Keywords
Boundary-value problem, linear partial differential equation, delayed exponential function.
Authors
DIBLÍK, J.; KHUSAINOV, D.; KUKHARENKO, O.; SVOBODA, Z.
RIV year
2012
Released
9. 8. 2012
ISBN
1085-3375
Periodical
Abstract and Applied Analysis
Year of study
2012
Number
Article ID 21904
State
United States of America
Pages from
1
Pages to
27
Pages count
27
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",
journal="Abstract and Applied Analysis",
year="2012",
volume="2012",
number="Article ID 21904",
pages="1--27",
issn="1085-3375"
}