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"
}