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Uspekhi Mat. Nauk, 1978, Volume 33, Issue 6(204), Pages 85–148 (Mi umn3585)  

This article is cited in 42 scientific papers (total in 42 papers)

Conditions of high order for a local minimum in problems with constraints

E. S. Levitin, A. A. Milyutin, N. P. Osmolovskii

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English version:
Russian Mathematical Surveys, 1978, 33:6, 97–168

Bibliographic databases:

UDC: 517.5
MSC: 49Kxx, 49J40
Received: 23.01.1978

Citation: E. S. Levitin, A. A. Milyutin, N. P. Osmolovskii, “Conditions of high order for a local minimum in problems with constraints”, Uspekhi Mat. Nauk, 33:6(204) (1978), 85–148; Russian Math. Surveys, 33:6 (1978), 97–168

Citation in format AMSBIB
\by E.~S.~Levitin, A.~A.~Milyutin, N.~P.~Osmolovskii
\paper Conditions of~high order for~a~local minimum in~problems with constraints
\jour Uspekhi Mat. Nauk
\yr 1978
\vol 33
\issue 6(204)
\pages 85--148
\jour Russian Math. Surveys
\yr 1978
\vol 33
\issue 6
\pages 97--168

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    2. A. V. Dmitruk, “A condition of Jacobi type for a quadratic form to be nonnegative on a finite-faced cone”, Math. USSR-Izv., 18:3 (1982), 525–535  mathnet  crossref  mathscinet  zmath
    3. A. V. Arutyunov, N. T. Tynyanskii, “First- and second-order conditions in the problem of optimal high-speed”, Russian Math. Surveys, 36:6 (1981), 167–168  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    4. N. T. Tynyanskii, A. V. Arutyunov, “On the system of Jacobi equations in a time-optimal problem”, Math. USSR-Izv., 21:2 (1983), 375–397  mathnet  crossref  mathscinet  zmath
    5. V. A. Dubovitskii, “Necessary and sufficient conditions for a Pontryagin minimum in problems of optimal control with singular conditions and generalized controls”, Russian Math. Surveys, 37:3 (1982), 202–203  mathnet  crossref  mathscinet  zmath  adsnasa
    6. A. V. Dmitruk, “Quadratic conditions for a Pontryagin minimum in an optimum control problem linear in the control. I: A decoding theorem”, Math. USSR-Izv., 28:2 (1987), 275–303  mathnet  crossref  mathscinet  zmath
    7. A. V. Dmitruk, “Quadratic conditions for a Pontryagin minimum in an optimal control problem linear in the control. II. Theorems on weakening equality constraints”, Math. USSR-Izv., 31:1 (1988), 121–141  mathnet  crossref  mathscinet  zmath
    8. A.D. Ioffe, “On the local surjection property”, Nonlinear Analysis: Theory, Methods & Applications, 11:5 (1987), 565  crossref
    9. M. F. Sukhinin, “Lower semi-Taylor mappings and sufficient conditions for an extremum”, Math. USSR-Sb., 73:1 (1992), 257–271  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    10. Alexander Ioffe, “On Sensitivity Analysis of Nonlinear Programs in Banach Spaces: The Approach via Composite Unconstrained Optimization”, SIAM J Optim, 4:1 (1994), 1  crossref  mathscinet  isi
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    12. Richard F. Hartl, Suresh P. Sethi, Raymond G. Vickson, “A Survey of the Maximum Principles for Optimal Control Problems with State Constraints”, SIAM Rev, 37:2 (1995), 181  crossref  mathscinet  zmath  isi
    13. A. V. Arutyunov, “Second-order conditions in extremal problems with finite-dimensional range. 2-normal maps”, Izv. Math., 60:1 (1996), 39–65  mathnet  crossref  crossref  mathscinet  zmath  isi
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    24. E. R. Avakov, A. V. Arutyunov, A. F. Izmailov, “Necessary Conditions for an Extremum in a Mathematical Programming Problem”, Proc. Steklov Inst. Math., 256 (2007), 2–25  mathnet  crossref  mathscinet  zmath  elib  elib
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    29. A. V. Arguchintsev, V. A. Dykhta, V. A. Srochko, “Optimal control: nonlocal conditions, computational methods, and the variational principle of maximum”, Russian Math. (Iz. VUZ), 53:1 (2009), 1–35  mathnet  crossref  mathscinet  zmath  elib
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