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"
}