Trudy Matematicheskogo Instituta imeni V.A. Steklova
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Trudy Mat. Inst. Steklova:
Year:
Volume:
Issue:
Page:
Find




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

Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2020, Volume 308, Pages 253–264
DOI: https://doi.org/10.4213/tm4051 (Mi tm4051) 		 
This article is cited in 13 scientific papers (total in 13 papers)

On the Solvability of a Class of Nonlinear Hammerstein–Stieltjes Integral Equations on the Whole Line

Kh. A. Khachatryanab, H. S. Petrosyanac

a Faculty of Mechanics and Mathematics, Moscow State University, Moscow, 119991 Russia
b Institute of Mathematics of National Academy of Sciences of the Republic of Armenia, Marshal Baghramian ave. 24/5, Yerevan, 0019, Republic of Armenia
c Armenian National Agrarian University, Teryan 74, Yerevan, 0009, Republic of Armenia
Full-text PDF (206 kB) Citations (13)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tm4051
Abstract: We consider a nonlinear integral equation on the whole line with a Hammerstein–Stieltjes integral operator whose pre-kernel is a continuous distribution function. Under certain conditions imposed on the nonlinearity, we prove constructive existence and uniqueness theorems for nonnegative monotone bounded solutions. Some qualitative properties of the constructed solution are also studied. In particular, the results proved in the paper contain a theorem of O. Diekmann as a special case.
Keywords: pre-kernel, iterations, monotonicity, bounded solution, convergence.
Funding agency Grant number
Russian Science Foundation 19-11-00223
This work is supported by the Russian Science Foundation under grant 19-11-00223 and performed at Moscow State University.
Received: September 5, 2019
Revised: October 16, 2019
Accepted: October 21, 2019
English version:
Proceedings of the Steklov Institute of Mathematics, 2020, Volume 308, Pages 238–249
DOI: https://doi.org/10.1134/S0081543820010198
Bibliographic databases:
Document Type: Article
UDC: 517.968.4
Language: Russian
Citation: Kh. A. Khachatryan, H. S. Petrosyan, “On the Solvability of a Class of Nonlinear Hammerstein–Stieltjes Integral Equations on the Whole Line”, Differential equations and dynamical systems, Collected papers, Trudy Mat. Inst. Steklova, 308, Steklov Math. Inst. RAS, Moscow, 2020, 253–264; Proc. Steklov Inst. Math., 308 (2020), 238–249
Citation in format AMSBIB
\Bibitem{KhaPet20}
\by Kh.~A.~Khachatryan, H.~S.~Petrosyan
\paper On the Solvability of a Class of Nonlinear Hammerstein--Stieltjes Integral Equations on the Whole Line
\inbook Differential equations and dynamical systems
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2020
\vol 308
\pages 253--264
\publ Steklov Math. Inst. RAS
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm4051}
\crossref{https://doi.org/10.4213/tm4051}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4101856}
\elib{https://elibrary.ru/item.asp?id=43293117}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2020
\vol 308
\pages 238--249
\crossref{https://doi.org/10.1134/S0081543820010198}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000535370800019}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85085277961}
Linking options:
  • https://www.mathnet.ru/eng/tm4051
  • https://doi.org/10.4213/tm4051
  • https://www.mathnet.ru/eng/tm/v308/p253
    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
    Statistics & downloads:
    Abstract page:790
    Full-text PDF :109
    References:66
    First page:24
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024