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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" }