Detail publikačního výsledku

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.

Originální název

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

Anglický název

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

Druh

Článek recenzovaný mimo WoS a Scopus

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

Boundary-value problem, linear partial differential equation, delayed exponential function.

Klíčová slova v angličtině

Boundary-value problem, linear partial differential equation, delayed exponential function.

Autoři

DIBLÍK, J.; KHUSAINOV, D.; KUKHARENKO, O.; SVOBODA, Z.

Rok RIV

2013

Vydáno

09.08.2012

ISSN

1085-3375

Periodikum

Abstract and Applied Analysis

Svazek

2012

Číslo

Article ID 21904

Stát

Spojené státy americké

Strany od

1

Strany do

27

Strany počet

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"
}