Publication detail

The periodic problem for the second order integro-differential equations with distributed deviation

MUKHIGULASHVILI, S. NOVOTNÁ, V.

Original Title

The periodic problem for the second order integro-differential equations with distributed deviation

Type

journal article in Web of Science

Language

English

Original Abstract

In the paper we describe the classes of unique solvability of the Dirichlet and mixed two point boundary value problems for the second order linear integro-differential equation ∫b u′′ (t) = p0 (t)u(t) + p1 (t)u(τ1 (t)) + p(t, s)u(τ (s)) ds + q(t). a On the basis of the obtained and, in some sense, optimal results for the linear problems, by the a priori boundedness principle we prove the theorems of solvability and unique solvability for the second order nonlinear functional differential equations under the mentioned boundary conditions.

Keywords

Integro-differential equations; Dirichlet and mixed problems; unique solvability; a priori boundedness principle

Authors

MUKHIGULASHVILI, S.; NOVOTNÁ, V.

Released

5. 6. 2021

Publisher

Institute of Mathematics CAS

ISBN

0862-7959

Periodical

Mathematica Bohemica

Year of study

146

Number

2

State

Czech Republic

Pages from

167

Pages to

183

Pages count

10

URL

https://articles.math.cas.cz/10.21136/MB.2020.0061-19

Full text in the Digital Library

http://hdl.handle.net/11012/193386

BibTex

@article{BUT159528,
  author="Sulkhan {Mukhigulashvili} and Veronika {Novotná}",
  title="The periodic problem for the second order integro-differential equations with distributed deviation",
  journal="Mathematica Bohemica",
  year="2021",
  volume="146",
  number="2",
  pages="167--183",
  doi="10.21136/MB.2020.0061-19",
  issn="0862-7959",
  url="https://articles.math.cas.cz/10.21136/MB.2020.0061-19"
}