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, 2020, Volume 186, Pages 38–44
DOI: https://doi.org/10.36535/0233-6723-2020-186-38-44 (Mi into710) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On estimates of solutions of boundary-value problems for implicit differential equations with deviating argument

T. V. Zhukovskayaa, I. D. Serovab

a Tambov State Technical University
b Tambov State University named after G.R. Derzhavin
Full-text PDF (192 kB) Citations (3)
References:
PDF
HTML
DOI: https://doi.org/10.36535/0233-6723-2020-186-38-44
Abstract: A two-point boundary-value problem for an implicit differential equation with a deviating argument is examined. An existence theorem and an estimate for the solution are obtained, which is similar to the Chaplygin theorem on differential inequalities. We use results on equations with covering and monotonic mappings in partially ordered spaces and conditions for ordered covering of the Nemytskii operator in the space of measurable essentially bounded functions.
Keywords: implicit differential equation, boundary-value problem, solvability condition, estimate of solution, ordered covering mapping, differential inequality.
Funding agency Grant number
Russian Foundation for Basic Research 17-41-680975_ð_à
This work was supported by the Russian Foundation for Basic Research (project No. 17-41-680975ð_à).
Document Type: Article
UDC: 517.91
MSC: 34A09, 34B15, 34A40, 47H07
Language: Russian
Citation: T. V. Zhukovskaya, I. D. Serova, “On estimates of solutions of boundary-value problems for implicit differential equations with deviating argument”, Proceedings of the All-Russian Scientific Conference «Differential Equations and Their Applications» dedicated to the 85th anniversary of Professor M. T. Terekhin. Ryazan State University named for S. A. Yesenin, Ryazan, May 17-18, 2019. Part 2, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 186, VINITI, Moscow, 2020, 38–44
Citation in format AMSBIB
\Bibitem{ZhuSer20}
\by T.~V.~Zhukovskaya, I.~D.~Serova
\paper On estimates of solutions of boundary-value problems for implicit differential equations with deviating argument
\inbook Proceedings of the All-Russian Scientific Conference «Differential Equations and Their Applications» dedicated to the 85th anniversary of Professor M. T. Terekhin. Ryazan State University named for S. A. Yesenin, Ryazan, May 17-18, 2019. Part 2
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2020
\vol 186
\pages 38--44
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into710}
\crossref{https://doi.org/10.36535/0233-6723-2020-186-38-44}
Linking options:
  • https://www.mathnet.ru/eng/into710
  • https://www.mathnet.ru/eng/into/v186/p38
    • This publication is cited in the following 3 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:231
    Full-text PDF :77
    References:43
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024