Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Subscription
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find






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


Izv. RAN. Ser. Mat., 1992, Volume 56, Issue 1, Pages 215–228 (Mi izv962)  

Absorbed and nonabsorbed points of sets of attainability of differential inclusions, and generalized Hamilton–Jacobi equations

A. V. Bogatyrev


Abstract: The problems considered in this article are in a certain sense alternative to the problem of invariance, namely, they concern conditions under which a particular point $x^*$ belonging at time $t^*$ to the set of attainability $X(t^*)$ of an autonomous differential inclusion $\dot x\in F(x)$ does or does not belong to the sets of attainability $X(t)$ for all $t$ in some sufficiently small interval adjacent to $t^*$ from the right or left. The conditions obtained are used to derive generalized equations of Hamilton–Jacobi type describing the boundaries of the phase and integral funnels of the differential inclusion, as well as the optimal result function and the fast-action time in an optimal control problem.

Full text: PDF file (678 kB)
References: PDF file   HTML file

English version:
Russian Academy of Sciences. Izvestiya Mathematics, 1993, 40:1, 213–224

Bibliographic databases:

UDC: 517.94
MSC: Primary 34A60, 49L05, 93B03; Secondary 49L25
Received: 26.04.1991

Citation: A. V. Bogatyrev, “Absorbed and nonabsorbed points of sets of attainability of differential inclusions, and generalized Hamilton–Jacobi equations”, Izv. RAN. Ser. Mat., 56:1 (1992), 215–228; Russian Acad. Sci. Izv. Math., 40:1 (1993), 213–224

Citation in format AMSBIB
\Bibitem{Bog92}
\by A.~V.~Bogatyrev
\paper Absorbed and nonabsorbed points of sets of attainability of differential inclusions, and generalized Hamilton--Jacobi equations
\jour Izv. RAN. Ser. Mat.
\yr 1992
\vol 56
\issue 1
\pages 215--228
\mathnet{http://mi.mathnet.ru/izv962}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1162637}
\zmath{https://zbmath.org/?q=an:0771.49007}
\adsnasa{http://adsabs.harvard.edu/cgi-bin/bib_query?1993IzMat..40..213B}
\transl
\jour Russian Acad. Sci. Izv. Math.
\yr 1993
\vol 40
\issue 1
\pages 213--224
\crossref{https://doi.org/10.1070/IM1993v040n01ABEH001864}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1993LD16700006}


Linking options:
  • http://mi.mathnet.ru/eng/izv962
  • http://mi.mathnet.ru/eng/izv/v56/i1/p215

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles
  • Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Number of views:
    This page:199
    Full text:69
    References:35
    First page:2

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2021