Publication detail

Boundary Value Problems for Delay Differential Systems

DIBLÍK, J. KHUSAINOV, D. RŮŽIČKOVÁ, M. BOICHUK, A.

Original Title

Boundary Value Problems for Delay Differential Systems

Type

journal article - other

Language

English

Original Abstract

Conditions are derived of the existence of solutions of linear Fredholms boundary-value problems for systems of ordinary differential equations with constant coefficients and a single delay, assuming that these solutions satisfy the initial and boundary conditions. Utilizing a delayed matrix exponential and a method of pseudoinverse by Moore-Penrose matrices led to an explicit and analytical form of a criterion for the existence of solutions in a relevant space and, moreover, to the construction of a family of linearly independent solutions of such problems in a general case with the number of boundary conditions (defined by a linear vector functional) not coinciding with the number of unknowns of a differential system with a single delay.

Keywords

linear Fredholms boundary-value problem, system of ordinary differential equations with constant coefficients and a single delay, delayed matrix exponential, Moore-Penrose matrices,

Authors

DIBLÍK, J.; KHUSAINOV, D.; RŮŽIČKOVÁ, M.; BOICHUK, A.

RIV year

2010

Released

16. 7. 2010

ISBN

1687-1839

Periodical

Advances in Difference Equations

Year of study

2010

Number

1

State

United States of America

Pages from

1

Pages to

20

Pages count

20

BibTex

@article{BUT47944,
  author="Josef {Diblík} and Denys {Khusainov} and Miroslava {Růžičková} and Alexander {Boichuk}",
  title="Boundary Value Problems for Delay Differential Systems",
  journal="Advances in Difference Equations",
  year="2010",
  volume="2010",
  number="1",
  pages="1--20",
  issn="1687-1839"
}