Detail publikačního výsledku

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

MUKHIGULASHVILI, S.; NOVOTNÁ, V.

Originální název

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

Anglický název

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

Druh

Článek WoS

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

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

Klíčová slova v angličtině

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

Autoři

MUKHIGULASHVILI, S.; NOVOTNÁ, V.

Rok RIV

2021

Vydáno

05.06.2021

Nakladatel

Institute of Mathematics CAS

ISSN

0862-7959

Periodikum

Mathematica Bohemica

Svazek

146

Číslo

2

Stát

Česká republika

Strany od

167

Strany do

183

Strany počet

10

URL

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

Plný text v Digitální knihovně

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"
}

Dokumenty

MB.2020.0061-19