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Mathematics of the USSR-Izvestiya, 1969, Volume 3, Issue 4, Pages 737–794
DOI: https://doi.org/10.1070/IM1969v003n04ABEH000800 (Mi im2182) 		 
This article is cited in 14 scientific papers (total in 14 papers)

Extremal problems in linear topological spaces

R. V. Gamkrelidze, G. L. Kharatishvili
English version PDF (1989 kB) Citations (14) Russian version article
References:
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DOI: https://doi.org/10.1070/IM1969v003n04ABEH000800
Abstract: An axiomatic theory of the first variation is constructed for extremal problems in linear topoligical spaces.
Received: 16.12.1968
Bibliographic databases:
Document Type: Article
UDC: 519.3
MSC: 49Qxx
Language: English
Original paper language: Russian
Citation: R. V. Gamkrelidze, G. L. Kharatishvili, “Extremal problems in linear topological spaces”, Math. USSR-Izv., 3:4 (1969), 737–794
Citation in format AMSBIB
\Bibitem{GamKha69}
\by R.~V.~Gamkrelidze, G.~L.~Kharatishvili
\paper Extremal problems in linear topological spaces
\jour Math. USSR-Izv.
\yr 1969
\vol 3
\issue 4
\pages 737--794
\mathnet{http://mi.mathnet.ru/eng/im2182}
\crossref{https://doi.org/10.1070/IM1969v003n04ABEH000800}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=257851}
\zmath{https://zbmath.org/?q=an:0182.18402|0205.12102}
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  • https://doi.org/10.1070/IM1969v003n04ABEH000800
  • https://www.mathnet.ru/eng/im/v33/i4/p781
    • This publication is cited in the following 14 articles:
    1. Kuzenkov O.A., Novozhenin A.V., “Optimalnoe operatornoe upravlenie sistemami v banakhovom prostranstve”, Differentsialnye uravneniya, 48:1 (2012), 132–132  elib
    2. Novozhenin A.V., “Neobkhodimye usloviya optimalnosti dlya upravlyaemykh sistem v banakhovom prostranstve”, Vestnik nizhegorodskogo universiteta im. N.I. Lobachevskogo, 2011, no. 4-1, 173–178 Necessary optimality conditions for control systems in banach space  elib
    3. T. A. Tadumadze, N. Z. Gorgodze, I. V. Ramishvili, “On the Well-Posedness of the Cauchy Problem for Quasilinear Differential Equations of Neutral Type”, Journal of Mathematical Sciences, 151:6 (2008), 3611–3630  mathnet  crossref  mathscinet  zmath
    4. G. L. Kharatishvili, T. A. Tadumadze, “Variation formulae for the solutions of delay differential equations with discontinuous initial conditions”, Sb. Math., 196:8 (2005), 1137–1163  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    5. A. I. Subbotin, A. G. Chentsov, “An Iterative Procedure for Constructing Minimax and Viscosity Solutions to the Hamilton–Jacobi Equations and Its Generalization”, Proc. Steklov Inst. Math., 224 (1999), 286–309  mathnet  mathscinet  zmath
    6. A. V. Arutyunov, “Necessary conditions for an extremum in an abnormal problem with equality constraints”, Russian Math. Surveys, 45:5 (1990), 223–224  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    7. A. S. Matveev, “Optimal control problems with delays of general form and with phase constraints”, Math. USSR-Izv., 33:3 (1989), 521–552  mathnet  crossref  mathscinet  zmath
    8. V. I. Kazimirov, V. I. Plotnikov, I. M. Starobinets, “An abstract scheme for the method of variations and necessary conditions for an extremum”, Math. USSR-Izv., 26:1 (1986), 133–151  mathnet  crossref  mathscinet
    9. G. L. Kharatishvili, T. A. Tadumadze, “Nonlinear optimal control systems with variable time lags”, Math. USSR-Sb., 35:6 (1979), 863–881  mathnet  crossref  mathscinet  zmath  isi
    10. A. A. Agrachev, “A second-order necessary condition for optimality in the general nonlinear case”, Math. USSR-Sb., 31:4 (1977), 493–506  mathnet  crossref  mathscinet  zmath  isi
    11. M. F. Sukhinin, “O printsipe nepodvizhnoi tochki i ego primenenii v teorii operatorov v lineinykh topologicheskikh prostranstvakh”, UMN, 29:1(175) (1974), 189–190  mathnet  mathscinet  zmath
    12. H. Banks, A. Manitius, “Application of abstract variational theory to hereditary systems–A survey”, IEEE Trans. Automat. Contr., 19:5 (1974), 524  crossref
    13. R. Gabasov, F. M. Kirillova, “High Order Necessary Conditions for Optimality”, SIAM J Control, 10:1 (1972), 127  crossref  mathscinet  zmath
    14. G. Sh. Rubinshtein, “Duality in mathematical programming and some problems of convex analysis”, Russian Math. Surveys, 25:5 (1970), 171–200  mathnet  crossref  mathscinet  zmath
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:798
    Russian version PDF:214
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    References:84
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