Publication detail

On the construction of solutions of general linear boundary value problems for systems of functional differential equations

PŮŽA, B. NOVOTNÁ, V.

Original Title

On the construction of solutions of general linear boundary value problems for systems of functional differential equations

Type

journal article in Web of Science

Language

English

Original Abstract

For the linear boundary value problem x'(t)=p(x)(t)+q(t), l(x)=c_0 on the closed interval I in R, where p: C(I, R^n) to L(I, R^n) is a strongly bounded linear operator, l:C(I, R^n) to R^n is the bounded linear functional, q \in L(I, R^n) and c_0 \in R^n, we describe the method of construction of its solution by the successive approximations by the sequence of the solutions of simplest boundary value problems. We prove the conditions which guarantee convergence of the above mentioned sequences in general and special cases, we prove the stability of the convergence in some sense. Also, for illustration, we solve some typiecal problem in Maple.

Keywords

System of functional differential equations, general boundary value problems, argument deviation, construction of solutions, successive approximations

Authors

PŮŽA, B.; NOVOTNÁ, V.

Released

13. 2. 2019

Publisher

University of Miskolc

Location

Miskolc

ISBN

1787-2405

Periodical

Miskolc Mathematical Notes

Year of study

19

Number

2

State

Hungary

Pages from

1063

Pages to

1078

Pages count

15

BibTex

@article{BUT149370,
  author="Bedřich {Půža} and Veronika {Novotná}",
  title="On the construction of solutions of general linear boundary value problems for systems of functional differential equations",
  journal="Miskolc Mathematical Notes",
  year="2019",
  volume="19",
  number="2",
  pages="1063--1078",
  issn="1787-2405"
}