Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2021, Volume 198, Pages 22–32
DOI: https://doi.org/10.36535/0233-6723-2021-198-22-32 (Mi into870) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Nonlinear integro-differential equations with difference kernels

S. N. Askhabov

Chechen State Pedagogical Institute
Full-text PDF (233 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.36535/0233-6723-2021-198-22-32
Abstract: This paper is a summary of recent results obtained for nonlinear integro-differential equations of convolution type and singular integro-differential equations with Hilbert and Cauchy kernels. For nonnegative continuous solutions, we use the method of weight metrics (an analog, while for summable solutions on arbitrary sign, the “monotonicity” method (the Minty–Browder monotone operators) is applied.
Keywords: monotone operator, convolution operator, singular operator, nonlinear integro-differential equation.
Funding agency Grant number
Russian Foundation for Basic Research 18-41-200001
Ministry of Science and Higher Education of the Russian Federation 075-03-2020-239/2
This work was supported by the Russian Foundation for Basic Research (project No. 18-41-200001). The paper is published within the framework of the State Assignment, in accordance with the supplementary agreement No. 075-03-2020-239/2 (07.07.2020) “Nonlinear singular integro-differential equations and boundary value problems.”
Document Type: Article
UDC: 517.968.4
MSC: 47G20, 47J05
Language: Russian
Citation: S. N. Askhabov, “Nonlinear integro-differential equations with difference kernels”, Differential Equations and Mathematical Physics, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 198, VINITI, Moscow, 2021, 22–32
Citation in format AMSBIB
\Bibitem{Ask21}
\by S.~N.~Askhabov
\paper Nonlinear integro-differential equations with difference kernels
\inbook Differential Equations and Mathematical Physics
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2021
\vol 198
\pages 22--32
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into870}
\crossref{https://doi.org/10.36535/0233-6723-2021-198-22-32}
Linking options:
  • https://www.mathnet.ru/eng/into870
  • https://www.mathnet.ru/eng/into/v198/p22
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
    Statistics & downloads:
    Abstract page:240
    Full-text PDF :212
    References:68
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2026