Evtushenko, Yu. G.; Tret’yakov, A. A. Method for false extrema localization in global optimization. (English. Russian original) Zbl 07786648 Dokl. Math. 108, No. 1, 309-311 (2023); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 512, 78-80 (2023). MSC: 90Cxx 49Mxx 65Kxx PDFBibTeX XMLCite \textit{Yu. G. Evtushenko} and \textit{A. A. Tret'yakov}, Dokl. Math. 108, No. 1, 309--311 (2023; Zbl 07786648); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 512, 78--80 (2023) Full Text: DOI
Evtushenko, Yu. G.; Bednarczuk, E.; Prusinska, A.; Tret’yakov, A. A. On the equivalence of singular and ill-posed problems: the \(p\)-factor regularization method. (English. Russian original) Zbl 1511.65046 Dokl. Math. 106, No. 2, 336-339 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 506, 41-44 (2022). MSC: 65J15 65J20 PDFBibTeX XMLCite \textit{Yu. G. Evtushenko} et al., Dokl. Math. 106, No. 2, 336--339 (2022; Zbl 1511.65046); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 506, 41--44 (2022) Full Text: DOI
Albu, A. F.; Evtushenko, Yu. G.; Zubov, V. I. On one approach to the numerical solution of a coefficient inverse problem. (English. Russian original) Zbl 07427868 Dokl. Math. 104, No. 1, 208-211 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 499, 58-62 (2021). MSC: 65M32 65K10 65D25 35K05 49N45 49M41 PDFBibTeX XMLCite \textit{A. F. Albu} et al., Dokl. Math. 104, No. 1, 208--211 (2021; Zbl 07427868); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 499, 58--62 (2021) Full Text: DOI
Evtushenko, Yu. G.; Tret’yakov, A. A. A new class of Lyapunov functions for stability analysis of singular dynamical systems. Elements of \(p\)-regularity theory. (English. Russian original) Zbl 1483.37038 Dokl. Math. 104, No. 1, 165-168 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 499, 8-12 (2021). MSC: 37C75 93D05 34D20 34D23 34D30 PDFBibTeX XMLCite \textit{Yu. G. Evtushenko} and \textit{A. A. Tret'yakov}, Dokl. Math. 104, No. 1, 165--168 (2021; Zbl 1483.37038); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 499, 8--12 (2021) Full Text: DOI
Denisov, D. V.; Evtushenko, Yu. G.; Tret’yakov, A. A. Some properties of smooth convex functions and Newton’s method. (English. Russian original) Zbl 1480.90192 Dokl. Math. 103, No. 2, 76-80 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 497, 12-17 (2021). MSC: 90C25 90C53 PDFBibTeX XMLCite \textit{D. V. Denisov} et al., Dokl. Math. 103, No. 2, 76--80 (2021; Zbl 1480.90192); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 497, 12--17 (2021) Full Text: DOI
Evtushenko, Yu. G.; Tret’yakov, A. A. Constructive generalization of classical sufficient second-order optimality conditions. (English. Russian original) Zbl 1434.90196 Dokl. Math. 100, No. 1, 372-373 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 487, No. 5, 493-495 (2019). MSC: 90C30 90C46 PDFBibTeX XMLCite \textit{Yu. G. Evtushenko} and \textit{A. A. Tret'yakov}, Dokl. Math. 100, No. 1, 372--373 (2019; Zbl 1434.90196); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 487, No. 5, 493--495 (2019) Full Text: DOI
Evtushenko, Yu. G.; Tret’yakov, A. A.; Tyrtyshnikov, E. E. New approach to Farkas’ theorem of the alternative. (English. Russian original) Zbl 1428.46002 Dokl. Math. 99, No. 2, 208-210 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 485, No. 6, 655-658 (2019). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 46A40 52A40 90C05 90C32 90C46 PDFBibTeX XMLCite \textit{Yu. G. Evtushenko} et al., Dokl. Math. 99, No. 2, 208--210 (2019; Zbl 1428.46002); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 485, No. 6, 655--658 (2019) Full Text: DOI
Evtushenko, Yu. G.; Tret’yakov, A. A. 2-factor Newton method for solving constrained optimization problems with a degenerate Kuhn-Tucker system. (English. Russian original) Zbl 1418.90281 Dokl. Math. 99, No. 2, 129-131 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 485, No. 1, 19-21 (2019). MSC: 90C46 PDFBibTeX XMLCite \textit{Yu. G. Evtushenko} and \textit{A. A. Tret'yakov}, Dokl. Math. 99, No. 2, 129--131 (2019; Zbl 1418.90281); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 485, No. 1, 19--21 (2019) Full Text: DOI
Evtushenko, Yu. G.; Tret’yakov, A. A. New perspective on the Kuhn-Tucker theorem. (English. Russian original) Zbl 1388.90110 Dokl. Math. 96, No. 2, 427-429 (2017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 476, No. 1, 11-13 (2017). MSC: 90C30 90C46 PDFBibTeX XMLCite \textit{Yu. G. Evtushenko} and \textit{A. A. Tret'yakov}, Dokl. Math. 96, No. 2, 427--429 (2017; Zbl 1388.90110); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 476, No. 1, 11--13 (2017) Full Text: DOI
Evtushenko, Yu. G.; Posypkin, M. A. Effective hull of a set and its approximation. (English. Russian original) Zbl 1347.90067 Dokl. Math. 90, No. 3, 791-794 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 459, No. 5, 550-553 (2014). MSC: 90C25 PDFBibTeX XMLCite \textit{Yu. G. Evtushenko} and \textit{M. A. Posypkin}, Dokl. Math. 90, No. 3, 791--794 (2014; Zbl 1347.90067); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 459, No. 5, 550--553 (2014) Full Text: DOI
Evtushenko, Yu. G.; Tret’yakov, A. A. \(p\)th-order numerical methods for solving systems of nonlinear equations. (English. Russian original) Zbl 1301.65038 Dokl. Math. 89, No. 2, 214-217 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 455, No. 5, 512-515 (2014). MSC: 65H10 PDFBibTeX XMLCite \textit{Yu. G. Evtushenko} and \textit{A. A. Tret'yakov}, Dokl. Math. 89, No. 2, 214--217 (2014; Zbl 1301.65038); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 455, No. 5, 512--515 (2014) Full Text: DOI
Evtushenko, Yu. G.; Tret’yakov, A. A. Elementary proof of constructive versions of the tangent direction theorem and the implicit function theorem. (English. Russian original) Zbl 1251.26011 Dokl. Math. 85, No. 1, 23-28 (2012); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 442, No. 2, 156-161 (2012). Reviewer: Leonid Kovalev (Syracuse) MSC: 26B10 49M15 26B12 PDFBibTeX XMLCite \textit{Yu. G. Evtushenko} and \textit{A. A. Tret'yakov}, Dokl. Math. 85, No. 1, 23--28 (2012; Zbl 1251.26011); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 442, No. 2, 156--161 (2012) Full Text: DOI
Evtushenko, Yu. G.; Posypkin, M. A. Versions of the method of nonuniform coverings for global optimization of mixed integer nonlinear problems. (English. Russian original) Zbl 1244.90183 Dokl. Math. 83, No. 2, 268-271 (2011); translation from Dokl. Akad. Nauk 437, No. 2, 168-172 (2011). MSC: 90C26 90C11 PDFBibTeX XMLCite \textit{Yu. G. Evtushenko} and \textit{M. A. Posypkin}, Dokl. Math. 83, No. 2, 268--271 (2011; Zbl 1244.90183); translation from Dokl. Akad. Nauk 437, No. 2, 168--172 (2011) Full Text: DOI
Brezhneva, O. A.; Evtushenko, Yu. G.; Tret’yakov, A. A. The 2-factor-method with a modified Lagrange function for degenerate constrained optimization problems. (English. Russian original) Zbl 1327.90302 Dokl. Math. 73, No. 3, 384-387 (2006); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 408, No. 4, 439-442 (2006). MSC: 90C30 65K05 PDFBibTeX XMLCite \textit{O. A. Brezhneva} et al., Dokl. Math. 73, No. 3, 384--387 (2006; Zbl 1327.90302); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 408, No. 4, 439--442 (2006) Full Text: DOI
Brezhneva, O. A.; Evtushenko, Yu. G.; Tret’yakov, A. A. The \(p\)-regularity theory and Poincaré’s small parameter method. (English. Russian original) Zbl 1208.34089 Dokl. Math. 74, No. 3, 869-873 (2006); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 411, No. 6, 727-731 (2006). MSC: 34E10 34B15 47J07 PDFBibTeX XMLCite \textit{O. A. Brezhneva} et al., Dokl. Math. 74, No. 3, 869--873 (2006; Zbl 1208.34089); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 411, No. 6, 727--731 (2006) Full Text: DOI
Golikov, A. I.; Evtushenko, Yu. G. Solution method for a large-scale linear programming problems. (English. Russian original) Zbl 1378.90057 Dokl. Math. 70, No. 1, 615-619 (2004); translation from Dokl. Akad. Nauk 397, No. 6, 727-732 (2004). MSC: 90C05 90C06 PDFBibTeX XMLCite \textit{A. I. Golikov} and \textit{Yu. G. Evtushenko}, Dokl. Math. 70, No. 1, 615--619 (2004; Zbl 1378.90057); translation from Dokl. Akad. Nauk 397, No. 6, 727--732 (2004)
Golikov, A. I.; Evtushenko, Yu. G. A new method for solving systems of linear equalities and inequalities. (English. Russian original) Zbl 1090.90537 Dokl. Math. 64, No. 3, 370-373 (2001); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 381, No. 4, 444-447 (2001). MSC: 90C08 15A06 65F05 PDFBibTeX XMLCite \textit{A. I. Golikov} and \textit{Yu. G. Evtushenko}, Dokl. Math. 64, No. 3, 444--447 (2001; Zbl 1090.90537); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 381, No. 4, 444--447 (2001)
Evtushenko, Yu. G.; Smol’yakov, E. R. Pareto-optimal noncooperative equilibria. (English. Russian original) Zbl 0972.91009 Dokl. Math. 60, No. 1, 145-147 (1999); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 367, No. 3, 318-320 (1999). MSC: 91A10 PDFBibTeX XMLCite \textit{Yu. G. Evtushenko} and \textit{E. R. Smol'yakov}, Dokl. Math. 60, No. 1, 318--320 (1999; Zbl 0972.91009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 367, No. 3, 318--320 (1999)
Evtushenko, Yu. G.; Smol’yakov, E. R. A new concept of the solution for problems of accepting offers and noncooperative games. (English. Russian original) Zbl 0972.91008 Dokl. Math. 58, No. 3, 487-489 (1998); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 363, No. 2, 175-177 (1998). MSC: 91A10 PDFBibTeX XMLCite \textit{Yu. G. Evtushenko} and \textit{E. R. Smol'yakov}, Dokl. Math. 58, No. 3, 175--177 (1998; Zbl 0972.91008); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 363, No. 2, 175--177 (1998)