Trudy Instituta Matematiki i Mekhaniki UrO RAN
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Trudy Inst. Mat. i Mekh. UrO RAN:
Year:
Volume:
Issue:
Page:
Find




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

Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2005, Volume 11, Number 1, Pages 26–31 (Mi timm166)  
This article is cited in 1 scientific paper (total in 1 paper)

Solvability conditions for nonlinear equations on a cone in a neighborhood of an anormal point

A. V. Arutyunov
Full-text PDF (245 kB) Citations (1)
References:
PDF
HTML
Abstract: An operator equation described by a smooth nonlinear mapping acting in Banach spaces is considered. A solution of this equation that belongs to a given convex closed cone is sought. A condition of 2-regularity under which the equation in a neighborhood of a given point has a solution satisfying a linear-root estimate is presented. The introduced condition of 2-regularity is substantially weaker than the known Robinson condition, which is the first order regularity condition.
Received: 12.06.2004
Bibliographic databases:
Document Type: Article
UDC: 518.9
Language: Russian
Citation: A. V. Arutyunov, “Solvability conditions for nonlinear equations on a cone in a neighborhood of an anormal point”, Dynamical systems and control problems, Trudy Inst. Mat. i Mekh. UrO RAN, 11, no. 1, 2005, 26–31; Proc. Steklov Inst. Math. (Suppl.), 2005no. , suppl. 1, S25–S30
Citation in format AMSBIB
\Bibitem{Aru05}
\by A.~V.~Arutyunov
\paper Solvability conditions for nonlinear equations on a~cone in a~neighborhood of an anormal point
\inbook Dynamical systems and control problems
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2005
\vol 11
\issue 1
\pages 26--31
\mathnet{http://mi.mathnet.ru/timm166}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2156246}
\zmath{https://zbmath.org/?q=an:1130.47038}
\elib{https://elibrary.ru/item.asp?id=12040681}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2005
\issue , suppl. 1
\pages S25--S30
Linking options:
  • https://www.mathnet.ru/eng/timm166
  • https://www.mathnet.ru/eng/timm/v11/i1/p26
    • 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
    		Trudy Instituta Matematiki i Mekhaniki UrO RAN
    Statistics & downloads:
    Abstract page:329
    Full-text PDF :80
    References:67
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024