Publication result detail

Representation of the solution for linear system of delay equations with distributed parameters

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

Original Title

Representation of the solution for linear system of delay equations with distributed parameters

English Title

Representation of the solution for linear system of delay equations with distributed parameters

Type

Peer-reviewed article not indexed in WoS or Scopus

Original Abstract

The first boundary value problem for an autonomous system of linear delay partial differential equations of the second order has been solved. The solution is presented in an analytical form of formal series for the case, when matrices of coefficients are commutative and their eigenvalues are real and different. The obtained solution is studied on convergence and differentiability.

English abstract

The first boundary value problem for an autonomous system of linear delay partial differential equations of the second order has been solved. The solution is presented in an analytical form of formal series for the case, when matrices of coefficients are commutative and their eigenvalues are real and different. The obtained solution is studied on convergence and differentiability.

Keywords

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

Key words in English

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

Authors

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

RIV year

2013

Released

06.08.2012

ISBN

1562-8353

Periodical

Nonlinear Dynamics and Systems Theory

Volume

2012

Number

Article ID 21904

State

Ukraine

Pages from

251

Pages to

268

Pages count

18

BibTex

@article{BUT94456,
  author="Josef {Diblík} and Denys {Khusainov} and Oleksandra {Kukharenko}",
  title="Representation of the solution for linear system of delay equations with distributed parameters",
  journal="Nonlinear Dynamics and Systems Theory",
  year="2012",
  volume="2012",
  number="Article ID 21904",
  pages="251--268",
  issn="1562-8353"
}