Nakonechnyi, O. G.; Zinko, P. M. Estimates of matrix solutions of operator equations with random parameters under uncertainties. (English) Zbl 1538.62182 Mat. Stud. 60, No. 2, 208-222 (2023). MSC: 62H12 62C20 65F45 PDFBibTeX XMLCite \textit{O. G. Nakonechnyi} and \textit{P. M. Zinko}, Mat. Stud. 60, No. 2, 208--222 (2023; Zbl 1538.62182) Full Text: DOI
Nakonechnyi, Oleksandr; Martsenyuk, Vasyl; Karpinski, Mikolaj; Klos-Witkowska, Aleksandra On qualitative analysis of lattice dynamical system of two- and three-dimensional biopixels array: bifurcations and transition to “chaos”. (English) Zbl 1486.34164 Awrejcewicz, Jan (ed.), Perspectives in dynamical systems III: control and stability. Selected papers based on the presentations at the 15th international conference on dynamical systems – theory and applications, DSTA, Łódź, Poland, December 2–5, 2019. Cham: Springer. Springer Proc. Math. Stat. 364, 23-43 (2021). MSC: 34K60 92C47 37K60 34K31 34K25 34K21 34K20 34K18 34K23 PDFBibTeX XMLCite \textit{O. Nakonechnyi} et al., Springer Proc. Math. Stat. 364, 23--43 (2021; Zbl 1486.34164) Full Text: DOI
Kapustian, O. A.; Nakonechnyi, O. G. Approximate minimax estimation of functionals of solutions to the wave equation under nonlinear observations. (English. Russian original) Zbl 1454.35018 Cybern. Syst. Anal. 56, No. 5, 793-801 (2020); translation from Kibern. Sist. Anal. 2020, No. 5, 126-135 (2020). MSC: 35B27 35L20 PDFBibTeX XMLCite \textit{O. A. Kapustian} and \textit{O. G. Nakonechnyi}, Cybern. Syst. Anal. 56, No. 5, 793--801 (2020; Zbl 1454.35018); translation from Kibern. Sist. Anal. 2020, No. 5, 126--135 (2020) Full Text: DOI
Nakonechniy, O. G.; Zinko, T. P.; Kudin, G. I. Formulas of perturbation for one class of pseudo inverse operators. (English) Zbl 1432.15003 Mat. Stud. 52, No. 2, 124-132 (2019). MSC: 15A10 15A09 47A55 PDFBibTeX XMLCite \textit{O. G. Nakonechniy} et al., Mat. Stud. 52, No. 2, 124--132 (2019; Zbl 1432.15003) Full Text: DOI
Nakonechnyi, O. G.; Kapustian, O. A.; Chikrii, A. O. Approximate guaranteed mean square estimates of functionals on solutions of parabolic problems with fast oscillating coefficients under nonlinear observations. (English. Russian original) Zbl 1461.35027 Cybern. Syst. Anal. 55, No. 5, 785-795 (2019); translation from Kibern. Sist. Anal. 2019, No. 5, 95-105 (2019). MSC: 35B27 35K20 35B45 PDFBibTeX XMLCite \textit{O. G. Nakonechnyi} et al., Cybern. Syst. Anal. 55, No. 5, 785--795 (2019; Zbl 1461.35027); translation from Kibern. Sist. Anal. 2019, No. 5, 95--105 (2019) Full Text: DOI
Nakonechnyi, O. G.; Zinko, P. M.; Shevchuk, I. M. Analysis the solutions of the differential nonlinear equations describing the information spreading process with jump discontinuity. (English) Zbl 1423.34054 Mat. Stud. 51, No. 2, 159-167 (2019). MSC: 34C60 34A05 91D30 PDFBibTeX XMLCite \textit{O. G. Nakonechnyi} et al., Mat. Stud. 51, No. 2, 159--167 (2019; Zbl 1423.34054) Full Text: DOI
Nakonechnyi, O. G.; Shevchuk, Iu. M.; Chikrii, V. K. Estimating nonstationary parameters of differential equations under uncertainty. (English. Russian original) Zbl 1401.93198 Cybern. Syst. Anal. 54, No. 4, 610-623 (2018); translation from Kibern. Sist. Anal. 2018, No. 4, 109-121 (2018). MSC: 93E10 93C41 93C15 PDFBibTeX XMLCite \textit{O. G. Nakonechnyi} et al., Cybern. Syst. Anal. 54, No. 4, 610--623 (2018; Zbl 1401.93198); translation from Kibern. Sist. Anal. 2018, No. 4, 109--121 (2018) Full Text: DOI
Nakonechnyĭ, O. G.; Zin’ko, P. M.; Shevchuk, I. M. Averaged optimal predictive estimation of mathematical models of information spreading process under uncertainty. (Ukrainian. English summary) Zbl 1399.90045 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2017, No. 2, 122-127 (2017). MSC: 90B15 65K05 91D30 PDFBibTeX XMLCite \textit{O. G. Nakonechnyĭ} et al., Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2017, No. 2, 122--127 (2017; Zbl 1399.90045)
Nakonechnyĭ, O.; Martsenyuk, V.; Andrushchak, I.; Sverstyuk, A. Problems of decision support system for systematic analysis of innovative treatment methods. (English) Zbl 1399.90163 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2017, No. 2, 116-121 (2017). MSC: 90B50 92C50 92C60 PDFBibTeX XMLCite \textit{O. Nakonechnyĭ} et al., Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2017, No. 2, 116--121 (2017; Zbl 1399.90163)
Zhuk, Sergiy; Polyakov, Andrey; Nakonechnyi, Olexander Note on minimax sliding mode control design for linear systems. (English) Zbl 1370.93079 IEEE Trans. Autom. Control 62, No. 7, 3395-3400 (2017). MSC: 93B12 93C05 PDFBibTeX XMLCite \textit{S. Zhuk} et al., IEEE Trans. Autom. Control 62, No. 7, 3395--3400 (2017; Zbl 1370.93079) Full Text: DOI
Nakonechny, O. G.; Shevchuk, I. M. Mathematical model of information spreading process. (Ukrainian. English summary) Zbl 1374.90089 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2016, No. 3, 98-105 (2016). MSC: 90B18 34A34 91D30 PDFBibTeX XMLCite \textit{O. G. Nakonechny} and \textit{I. M. Shevchuk}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2016, No. 3, 98--105 (2016; Zbl 1374.90089)
Nakonechnyĭ, O. G.; Shusharin, Yu. V.; Demydenko, S. V. Guaranteed estimation of average of random sequences. (Ukrainian. English summary) Zbl 1340.62025 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2014, No. 4, 204-208 (2014). MSC: 62F30 PDFBibTeX XMLCite \textit{O. G. Nakonechnyĭ} et al., Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2014, No. 4, 204--208 (2014; Zbl 1340.62025)
Nakonechnyĭ, O. G.; Filipenkov, A. O. Discrete-time minimax estimation under uncertainty with separate constraints. (Ukrainian. English summary) Zbl 1313.93187 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2014, No. 1, 165-168 (2014). MSC: 93E11 93E10 93C05 PDFBibTeX XMLCite \textit{O. G. Nakonechnyĭ} and \textit{A. O. Filipenkov}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2014, No. 1, 165--168 (2014; Zbl 1313.93187)
Nakonechnyj, A. G.; Podlipenko, Yu. K.; Pertsov, A. S. Minimax estimation of solutions to the boundary-value problems with Neumann-type boundary conditions for the equations of linear elasticity. (Russian. English summary) Zbl 1199.74003 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2010, No. 2, 43-49 (2010). MSC: 74B05 PDFBibTeX XMLCite \textit{A. G. Nakonechnyj} et al., Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2010, No. 2, 43--49 (2010; Zbl 1199.74003)
Akimenko, V. V.; Nakonechnyi, A. G.; Trofimchuka, O. Yu. Modeling convection-diffusion processes based on a multidimensional integro-differential equation with degenerate parabolicity. (English. Russian original) Zbl 1182.65198 Cybern. Syst. Anal. 45, No. 2, 232-244 (2009); translation from Kibern. Sist. Anal. 2009, No. 2, 83-96 (2009). MSC: 65R20 45K05 PDFBibTeX XMLCite \textit{V. V. Akimenko} et al., Cybern. Syst. Anal. 45, No. 2, 232--244 (2009; Zbl 1182.65198); translation from Kibern. Sist. Anal. 2009, No. 2, 83--96 (2009) Full Text: DOI
Akimenko, V. V.; Nakonechnyi, A. G.; Trofimchuk, O. Yu. An optimal control model for a system of degenerate parabolic integro-differential equations. (English. Russian original) Zbl 1190.49003 Cybern. Syst. Anal. 43, No. 6, 838-847 (2007); translation from Kibern. Sist. Anal. 2007, No. 6, 90-102 (2007). MSC: 49J20 35J99 49M30 PDFBibTeX XMLCite \textit{V. V. Akimenko} et al., Cybern. Syst. Anal. 43, No. 6, 838--847 (2007; Zbl 1190.49003); translation from Kibern. Sist. Anal. 2007, No. 6, 90--102 (2007) Full Text: DOI
Akimenko, V. V.; Nakonechnyi, A. G.; Voloshchuk, S. D. Scenarios of optimal control of transregional migration processes under risk. (English. Russian original) Zbl 1125.49027 Cybern. Syst. Anal. 43, No. 1, 12-24 (2007); translation from Kibern. Sist. Anal. 43, No. 1, 16-33 (2007). MSC: 49M30 92D25 49N90 PDFBibTeX XMLCite \textit{V. V. Akimenko} et al., Cybern. Syst. Anal. 43, No. 1, 12--24 (2007; Zbl 1125.49027); translation from Kibern. Sist. Anal. 43, No. 1, 16--33 (2007) Full Text: DOI Link
Nakonechny, A. G.; Marzeniuk, V. P. Uncertainties in medical processes control. (English) Zbl 1143.92318 Marti, Kurt (ed.) et al., Coping with uncertainty. Modeling and policy issues. Selected papers based on the presentations at the workshop ‘Coping with uncertainty’, Laxenburg, Austria, December 13–16,2004. Berlin: Springer (ISBN 3-540-35258-9/pbk). Lecture Notes in Economics and Mathematical Systems 581, 185-192 (2006). MSC: 92C50 37N25 93C95 PDFBibTeX XMLCite \textit{A. G. Nakonechny} and \textit{V. P. Marzeniuk}, Lect. Notes Econ. Math. Syst. 581, 185--192 (2006; Zbl 1143.92318)
Akimenko, V. V.; Nakonechnyi, A. G. Optimal control models for interregional migration under social risks. (English. Russian original) Zbl 1119.91068 Cybern. Syst. Anal. 42, No. 3, 398-410 (2006); translation from Kibern. Sist. Anal. 42, No. 3, 107-122 (2006). MSC: 91D20 49N90 65K10 92D25 PDFBibTeX XMLCite \textit{V. V. Akimenko} and \textit{A. G. Nakonechnyi}, Cybern. Syst. Anal. 42, No. 3, 398--410 (2006; Zbl 1119.91068); translation from Kibern. Sist. Anal. 42, No. 3, 107--122 (2006) Full Text: DOI
Nakonechnyi, A. G.; Martsenyuk, V. P. Controllability problems for differential Gompertzian dynamic equations. (English. Russian original) Zbl 1063.92032 Cybern. Syst. Anal. 40, No. 2, 252-259 (2004); translation from Kibern. Sist. Anal. 2004, No. 2, 123-133 (2004). MSC: 92C50 49K15 49N90 PDFBibTeX XMLCite \textit{A. G. Nakonechnyi} and \textit{V. P. Martsenyuk}, Cybern. Syst. Anal. 40, No. 2, 252--259 (2004; Zbl 1063.92032); translation from Kibern. Sist. Anal. 2004, No. 2, 123--133 (2004) Full Text: DOI
Nakonechnyj, A. G.; Martsenyuk, V. P. The problem of identification of an integral kernel from observations with known states and derivatives of the system. (Russian. English summary) Zbl 1113.93067 Tavricheskij Vestn. Inform. Mat. 2003, No. 2, 3-13 (2003). MSC: 93C41 PDFBibTeX XMLCite \textit{A. G. Nakonechnyj} and \textit{V. P. Martsenyuk}, Tavricheskiĭ Vestn. Inform. Mat. 2003, No. 2, 3--13 (2003; Zbl 1113.93067)
Koval’, R. Ya.; Nakonechnyj, A. N. Prediction of financial accounts and structural optimization of the dividend policy in the model of a permanent growth. (Russian. English summary) Zbl 1074.91571 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2002, No. 3, 66-70 (2002). MSC: 91B38 PDFBibTeX XMLCite \textit{R. Ya. Koval'} and \textit{A. N. Nakonechnyj}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2002, No. 3, 66--70 (2002; Zbl 1074.91571)
Koval’, R. Ya.; Nakonechnyj, A. N. Optimization of the risk of a dividend policy. (Russian. English summary) Zbl 0993.91014 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2001, No. 12, 58-62 (2001). MSC: 91B28 91B30 PDFBibTeX XMLCite \textit{R. Ya. Koval'} and \textit{A. N. Nakonechnyj}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2001, No. 12, 58--62 (2001; Zbl 0993.91014)
Kovalyuk, Alex; Nakonechnyj, Oleksandr G.; Podlipenko, Yurij K. Minimax estimation of solutions to Neumann boundary value problems for elliptic equations under unknown boundary conditions. (Russian. English summary) Zbl 0979.35043 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2001, No. 1, 207-212 (2001). MSC: 35J25 35J55 PDFBibTeX XMLCite \textit{A. Kovalyuk} et al., Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2001, No. 1, 207--212 (2001; Zbl 0979.35043)
Kapustyan, Olena A.; Nakonechnyj, Oleksandr G. Minimax estimation of functionals of solutions of boundary value problems for parabolic equations under pointwise observations. (Ukrainian. English summary) Zbl 0973.35043 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2001, No. 1, 191-196 (2001). MSC: 35B45 35K20 PDFBibTeX XMLCite \textit{O. A. Kapustyan} and \textit{O. G. Nakonechnyj}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2001, No. 1, 191--196 (2001; Zbl 0973.35043)
Nakonechnyj, A. G.; Podlipenko, Yu. K.; Pavlyuchenko, O. G. Minimax estimation of a functional on solutions to boundary value problems for elliptic equations under incomplete data. (Ukrainian. English summary) Zbl 0977.93043 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2000, No. 1, 259-263 (2000). MSC: 93C20 93B07 93C41 35J25 PDFBibTeX XMLCite \textit{A. G. Nakonechnyj} et al., Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2000, No. 1, 259--263 (2000; Zbl 0977.93043)
Nakonechnyĭ, A. G.; Podlipenko, Yu. K.; Zaĭtsev, Yu. A. Minimax prediction estimation of solutions of initial-boundary-value problems for parabolic equations with discontinuous coefficients based on imperfect data. (English. Russian original) Zbl 1010.35053 Cybern. Syst. Anal. 36, No. 6, 845-854 (2000); translation from Kibern. Sist. Anal. 2000, No. 6, 65-75 (2000). Reviewer: Dimitar A.Kolev (Sofia) MSC: 35K50 PDFBibTeX XMLCite \textit{A. G. Nakonechnyĭ} et al., Cybern. Syst. Anal. 36, No. 6, 845--854 (2000; Zbl 1010.35053); translation from Kibern. Sist. Anal. 2000, No. 6, 65--75 (2000) Full Text: DOI
Nakonechnyi, A. G.; Levoshich, O. L.; Kordas, V. A. Source intensity control in transport and diffusion problems. (English. Russian original) Zbl 0954.93030 Cybern. Syst. Anal. 33, No. 4, 593-596 (1997); translation from Kibern. Sist. Anal. 1997, No. 4, 167-171 (1997). Reviewer: T.Tadumadze (Tbilisi) MSC: 93E10 92B99 60H15 93C20 PDFBibTeX XMLCite \textit{A. G. Nakonechnyi} et al., Cybern. Syst. Anal. 33, No. 4, 593--596 (1997; Zbl 0954.93030); translation from Kibern. Sist. Anal. 1997, No. 4, 167--171 (1997) Full Text: DOI
Nakonechnyj, A. N. Refining the exponential asymptotic expansion for the distribution function of a sum of a random number of nonnegative random variables. (English. Russian original) Zbl 0907.65148 Cybern. Syst. Anal. 33, No. 1, 89-96 (1997); translation from Kibern. Sist. Anal. 1997, No. 1, 112-121 (1997). MSC: 65C99 62E20 PDFBibTeX XMLCite \textit{A. N. Nakonechnyj}, Cybern. Syst. Anal. 33, No. 1, 89--96 (1997; Zbl 0907.65148); translation from Kibern. Sist. Anal. 1997, No. 1, 112--121 (1997) Full Text: DOI
Kovalenko, I. N.; Nakonechnyj, A. N.; Romanov, A. B. Chebyshev approximation of the distribution function of nonnegative random variables. (English. Russian original) Zbl 0881.41009 Cybern. Syst. Anal. 32, No. 2, 211-218 (1996); translation from Kibern. Sist. Anal. 1996, No. 2, 73-81 (1996). Reviewer: R.Păltănea (Braşov) MSC: 41A10 41A60 42C10 62E20 PDFBibTeX XMLCite \textit{I. N. Kovalenko} et al., Cybern. Syst. Anal. 32, No. 2, 211--218 (1996; Zbl 0881.41009); translation from Kibern. Sist. Anal. 1996, No. 2, 73--81 (1996) Full Text: DOI
Nakonechnyj, A. G.; Lyashko, S. I. On the minmax theory of estimating solutions of abstract parabolic equations. (English. Russian original) Zbl 0855.49016 Cybern. Syst. Anal. 31, No. 4, 626-630 (1995); translation from Kibern. Sist. Anal. 1995, No. 4, 169-175 (1995). Reviewer: D.Palagachev (Sofia) MSC: 49K35 49K20 35K85 93E10 34G10 PDFBibTeX XMLCite \textit{A. G. Nakonechnyj} and \textit{S. I. Lyashko}, Cybern. Syst. Anal. 31, No. 4, 626--630 (1995; Zbl 0855.49016); translation from Kibern. Sist. Anal. 1995, No. 4, 169--175 (1995) Full Text: DOI
Bublik, B. N.; Nakonechnyj, A. G. Minmax estimation of functionals of solutions of initial-boundary-value problems for parabolic equations. (English. Russian original) Zbl 0855.49015 Cybern. Syst. Anal. 31, No. 4, 555-561 (1995); translation from Kibern. Sist. Anal. 1995, No. 4, 89-96 (1995). Reviewer: D.Palagachev (Sofia) MSC: 49K35 49K20 PDFBibTeX XMLCite \textit{B. N. Bublik} and \textit{A. G. Nakonechnyj}, Cybern. Syst. Anal. 31, No. 4, 555--561 (1995; Zbl 0855.49015); translation from Kibern. Sist. Anal. 1995, No. 4, 89--96 (1995) Full Text: DOI
Nakonechnyj, A. G. Minimax estimates of linear functionals of solutions of abstract Neumann problems. (Russian) Zbl 0858.93039 Obozr. Prikl. Prom. Mat. 2, No. 1, 108-112 (1995). Reviewer: Z.Denkowski (Kraków) MSC: 93C25 49K27 49J35 PDFBibTeX XMLCite \textit{A. G. Nakonechnyj}, Obozr. Prikl. Prom. Mat. 2, No. 1, 108--112 (1995; Zbl 0858.93039)
Nakonechnyj, A. N.; Shpak, V. D. Adaptive optimization of the Monte-Carlo method. (English. Russian original) Zbl 0839.93082 Cybern. Syst. Anal. 30, No. 1, 34-40 (1994); translation from Kibern. Sist. Anal. 1994, No. 1, 51-58 (1994). Reviewer: W.Grecksch (Halle) MSC: 93E35 PDFBibTeX XMLCite \textit{A. N. Nakonechnyj} and \textit{V. D. Shpak}, Cybern. Syst. Anal. 30, No. 1, 51--58 (1994; Zbl 0839.93082); translation from Kibern. Sist. Anal. 1994, No. 1, 51--58 (1994)
Nakonechnyj, A. N. Probability-theoretical generalization of the second Lyapunov method. (English. Russian original) Zbl 0833.60066 Cybern. Syst. Anal. 29, No. 1, 53-62 (1993); translation from Kibern. Sist. Anal. 1993, No. 1, 68-81 (1993). Reviewer: D.Jarušková (Praha) MSC: 60H99 93E15 PDFBibTeX XMLCite \textit{A. N. Nakonechnyj}, Cybern. Syst. Anal. 29, No. 1, 53--62 (1993; Zbl 0833.60066); translation from Kibern. Sist. Anal. 1993, No. 1, 68--81 (1993) Full Text: DOI
Nakonechnyj, A. N. A refinement of the Rényi theorem. (English. Russian original) Zbl 0815.60084 Cybern. Syst. Anal. 29, No. 6, 933-934 (1993); translation from Kibern. Sist. Anal. 1993, No. 6, 170-171 (1993). MSC: 60K10 PDFBibTeX XMLCite \textit{A. N. Nakonechnyj}, Cybern. Syst. Anal. 29, No. 6, 170--171 (1993; Zbl 0815.60084); translation from Kibern. Sist. Anal. 1993, No. 6, 170--171 (1993)
Nakonechnyj, A. N. Optimal-system synthesis with reliability constraints. (English. Russian original) Zbl 0822.93075 Cybern. Syst. Anal. 29, No. 5, 786-788 (1993); translation from Kibern. Sist. Anal. 1993, No. 5, 181-183 (1993). Reviewer: S.Walczak (Łódź) MSC: 93E20 93A30 93E25 90C25 PDFBibTeX XMLCite \textit{A. N. Nakonechnyj}, Cybern. Syst. Anal. 29, No. 5, 181--183 (1993; Zbl 0822.93075); translation from Kibern. Sist. Anal. 1993, No. 5, 181--183 (1993)
Kovalenko, I. N.; Nakonechnyj, A. N. Approximation of distribution function of additive functional of Wiener process by segment of Chebyshev series. (English. Russian original) Zbl 0802.60072 Cybern. Syst. Anal. 29, No. 4, 613-617 (1993); translation from Kibern. Sist. Anal. 1993, No. 4, 169-173 (1993). MSC: 60J55 PDFBibTeX XMLCite \textit{I. N. Kovalenko} and \textit{A. N. Nakonechnyj}, Cybern. Syst. Anal. 29, No. 4, 169--173 (1993; Zbl 0802.60072); translation from Kibern. Sist. Anal. 1993, No. 4, 169--173 (1993) Full Text: DOI
Nakonechnyj, A. N. Extremal problems with rare events. II: Method of successive random approximations. (English. Russian original) Zbl 0875.90313 Cybern. Syst. Anal. 28, No. 2, 189-193 (1992); translation from Kibern. Sist. Anal. 1992, No. 2, 33-39 (1992). MSC: 90B25 90C90 90C15 PDFBibTeX XMLCite \textit{A. N. Nakonechnyj}, Cybern. Syst. Anal. 28, No. 2, 189--193 (1992; Zbl 0875.90313); translation from Kibern. Sist. Anal. 1992, No. 2, 33--39 (1992) Full Text: DOI
Nakonechnyi, A. G.; Levoshich, O. L. Estimating the solutions of linear stochastic equations by the information criterion. (English) Zbl 1267.60067 J. Sov. Math. 60, No. 4, 1619-1625 (1992); translation from Vychisl. Prikl. Mat., No. 60, 100–107 (1986). MSC: 60H10 34K50 PDFBibTeX XMLCite \textit{A. G. Nakonechnyi} and \textit{O. L. Levoshich}, J. Sov. Math. 60, No. 4, 1619--1625 (1992; Zbl 1267.60067); translation from Vychisl. Prikl. Mat., No. 60, 100--107 (1986) Full Text: DOI
Nakonechnyj, A. N. Random approximations in functional spaces. (Russian. English summary) Zbl 0786.60090 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1990, No. 6, 71-73 (1990). MSC: 60H25 47B80 PDFBibTeX XMLCite \textit{A. N. Nakonechnyj}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1990, No. 6, 71--73 (1990; Zbl 0786.60090)
Nakonechnyj, A. N. Extremal problems with rare events. I. (English. Russian original) Zbl 0748.90028 Cybernetics 26, No. 5, 693-697 (1990); translation from Kibernetika 1990, No. 5, 55-58, 66 (1990). MSC: 90B25 90C90 90C15 PDFBibTeX XMLCite \textit{A. N. Nakonechnyj}, Cybernetics 26, No. 5, 693--697 (1990; Zbl 0748.90028); translation from Kibernetika 1990, No. 5, 55--58, 66 (1990) Full Text: DOI
Nakonechnyj, A. N. A probabilistic generalization of the second Lyapunov method. (Russian. English summary) Zbl 0704.60068 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1990, No. 2, 18-19 (1990). Reviewer: L.Arnold MSC: 60H99 93E15 PDFBibTeX XMLCite \textit{A. N. Nakonechnyj}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1990, No. 2, 18--19 (1990; Zbl 0704.60068)
Nakonechnyĭ, A. G.; Zhirov, A. L. Minimax estimation of solutions of linear operator equations with nonstationary observations. (Russian) Zbl 0925.47005 Vestn. Kiev. Univ., Model. Optimizatsiya Slozhnykh Sist. 9, 3-6 (1990). MSC: 47A50 49R50 65J10 PDFBibTeX XMLCite \textit{A. G. Nakonechnyĭ} and \textit{A. L. Zhirov}, Vestn. Kiev. Univ., Model. Optimizatsiya Slozhnykh Sist. 9, 3--6 (1990; Zbl 0925.47005)
Kovalenko, I. N.; Nakonechnyj, A. N. Approximate calculation and optimization of reliability. (Priblizhennyj raschet i optimizatsiya nadezhnosti.) (Russian) Zbl 0752.90027 Kiev: Naukova Dumka. 183 p. (1989). MSC: 90B25 90C15 60K25 90-02 90B22 PDFBibTeX XMLCite \textit{I. N. Kovalenko} and \textit{A. N. Nakonechnyj}, Priblizhennyj raschet i optimizatsiya nadezhnosti (Russian). Kiev: Naukova Dumka (1989; Zbl 0752.90027)
Nakonechnyj, A. N. On the method of succesive random approximations. (Russian. English summary) Zbl 0687.90066 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1989, No. 9, 16-18 (1989). MSC: 90C15 PDFBibTeX XMLCite \textit{A. N. Nakonechnyj}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1989, No. 9, 16--18 (1989; Zbl 0687.90066)
Kovalenko, I. N.; Kuznetsov, N. Yu.; Nakonechnyj, A. N. Optimization of the characteristics of the reliability of systems on the basis of using qualitative estimates of continuity and methods of accelerate modeling. (Russian) Zbl 0808.90074 Zolotarev, V. M. (ed.) et al., Stability problems of stochastic models. Seminar proceedings, Sukhumi (USSR), October 1987. Moskva: Vsesoyuznyj Nauchno-Issledovatel’skij Institut Sistemnykh Issledovanij, Probl. Ustojch. Stokhasticheskikh Modelej, Tr. Semin. 79-84 (1988). MSC: 90B25 90C90 90C15 PDFBibTeX XMLCite \textit{I. N. Kovalenko} et al., in: Problemy ustojchivosti stokhasticheskikh modelej. Trudy seminara, Sukhumi/CCCP, oktyabr' 1987. Moskva: Vsesoyuznyj Nauchno-Issledovatel'skij Institut Sistemnykh Issledovanij. 79--84 (1988; Zbl 0808.90074)
Nakonechnyj, A. G.; Meredov, Kh. M. An inverse problem for the Helmholtz equation. (English. Russian original) Zbl 0793.35119 J. Sov. Math. 66, No. 4, 2363-2368 (1993); translation from Vychisl. Prikl. Mat., Kiev 66, 10-17 (1988). MSC: 35R30 35J05 PDFBibTeX XMLCite \textit{A. G. Nakonechnyj} and \textit{Kh. M. Meredov}, J. Sov. Math. 66, No. 4, 1 (1988; Zbl 0793.35119); translation from Vychisl. Prikl. Mat., Kiev 66, 10--17 (1988)
Nakonechnyj, A. G.; Meredov, Kh. M. On an inverse problem for the Helmholtz equation. (Russian) Zbl 0711.35143 Vychisl. Prikl. Mat., Kiev 66, 10-17 (1988). MSC: 35R30 35J05 PDFBibTeX XMLCite \textit{A. G. Nakonechnyj} and \textit{Kh. M. Meredov}, Vychisl. Prikl. Mat. 66, 10--17 (1988; Zbl 0711.35143)
Nakonechnyj, A. N. A class of stochastic extremal problems with rare events. (English. Russian original) Zbl 0694.93117 Cybernetics 24, No. 1, 101-106 (1988); translation from Kibernetika 1988, No. 1, 80-83, 98 (1988). MSC: 93E25 60K99 90B35 90C90 PDFBibTeX XMLCite \textit{A. N. Nakonechnyj}, Cybernetics 24, No. 1, 101--106 (1988; Zbl 0694.93117); translation from Kibernetika 1988, No. 1, 80--83, 98 (1988) Full Text: DOI
Danilov, V. Ya.; Nakonechnyj, A. G. Problems of optimization of wave fields in hydroacoustics. (Russian) Zbl 0850.76639 Kibern. Vychisl. Tekh., Kiev 77, 100-106 (1988). MSC: 76Q05 76M30 PDFBibTeX XMLCite \textit{V. Ya. Danilov} and \textit{A. G. Nakonechnyj}, Kibern. Vychisl. Tekh., Kiev 77, 100--106 (1988; Zbl 0850.76639)
Nakonechnyĭ, A. G.; Meredov, A. M. On stability on a finite interval of solutions of stochastic equations. (Russian) Zbl 0925.93942 Vestn. Kiev. Univ., Model. Optimizatsiya Slozhnykh Sist. 7, 45-48 (1988). MSC: 93E15 34F05 PDFBibTeX XMLCite \textit{A. G. Nakonechnyĭ} and \textit{A. M. Meredov}, Vestn. Kiev. Univ., Model. Optimizatsiya Slozhnykh Sist. 7, 45--48 (1988; Zbl 0925.93942)
Nakonechnyj, A. G.; Rusnak, N. A. Controlling observations in problems of minimax estimation for solutions of variational equations in Hilbert spaces. (Russian) Zbl 0925.49007 Vestn. Kiev. Univ., Model. Optimizatsiya Slozhnykh Sist. 7, 5-9 (1988). MSC: 49J27 PDFBibTeX XMLCite \textit{A. G. Nakonechnyj} and \textit{N. A. Rusnak}, Vestn. Kiev. Univ., Model. Optimizatsiya Slozhnykh Sist. 7, 5--9 (1988; Zbl 0925.49007)
Nakonechnyj, A. G.; Levoshich, O. L. Optimal estimates of random vectors using information criteria. (English. Russian original) Zbl 0786.62055 J. Sov. Math. 63, No. 5, 591-597 (1993); translation from Vychisl. Prikl. Mat., Kiev 62, 105-113 (1987). MSC: 62H12 PDFBibTeX XMLCite \textit{A. G. Nakonechnyj} and \textit{O. L. Levoshich}, J. Sov. Math. 63, No. 5, 1 (1987; Zbl 0786.62055); translation from Vychisl. Prikl. Mat., Kiev 62, 105--113 (1987) Full Text: DOI
Nakonechnyj, A. G.; Levoshich, O. L. Optimal estimations of random vectors according to information criteria. (Russian) Zbl 0722.62040 Vychisl. Prikl. Mat., Kiev 62, 105-113 (1987). MSC: 62H12 PDFBibTeX XMLCite \textit{A. G. Nakonechnyj} and \textit{O. L. Levoshich}, Vychisl. Prikl. Mat. 62, 105--113 (1987; Zbl 0722.62040)
Girko, V. L.; Lyashko, S. I.; Nakonechnyj, A. G. Minimax regulators for evolution equations in Hilbert spaces, under indeterminacy conditions. (English. Russian original) Zbl 0682.93048 Cybernetics 23, No. 1, 83-86 (1987); translation from Kibernetika 1987, No. 1, 67-68, 78 (1987). MSC: 93D15 93B50 93C25 PDFBibTeX XMLCite \textit{V. L. Girko} et al., Cybernetics 23, No. 1, 83--86 (1987; Zbl 0682.93048); translation from Kibernetika 1987, No. 1, 67--68, 78 (1987) Full Text: DOI
Nakonechnyĭ, A. G.; Lobok, A. P. Optimization of the domain of admissible perturbations in systems with distributed parameters when the measurements are inexact. (Russian) Zbl 0925.35090 Vestn. Kiev. Univ., Model. Optimizatsiya Slozhnykh Sist. 6, 7-10 (1987). MSC: 35K99 PDFBibTeX XMLCite \textit{A. G. Nakonechnyĭ} and \textit{A. P. Lobok}, Vestn. Kiev. Univ., Model. Optimizatsiya Slozhnykh Sist. 6, 7--10 (1987; Zbl 0925.35090)
Nakonechnyj, A. G.; Rusnak, N. A. Rate of convergence bound for approximating sequences in minimization problems for functionals. (English. Russian original) Zbl 0779.65040 J. Sov. Math. 60, No. 3, 1529-1532 (1992); translation from Vychisl. Prikl. Mat., Kiev 59, 117-121 (1986). MSC: 65K10 65J15 49K27 PDFBibTeX XML
Nakonechnyj, A. G.; Rusnak, N. A. Estimation of convergence speed of approximating sequences in minimization of functionals. (Russian) Zbl 0634.65049 Vychisl. Prikl. Mat., Kiev 59, 117-121 (1986). MSC: 65K10 65J15 49K27 PDFBibTeX XMLCite \textit{A. G. Nakonechnyj} and \textit{N. A. Rusnak}, Vychisl. Prikl. Mat. 59, 117--121 (1986; Zbl 0634.65049)
Nakonechnyj, A. N. Asymptotic reliability analysis of duplicated systems. (English) Zbl 0594.60087 J. Sov. Math. 34, 1524-1528 (1986). MSC: 60K10 90B25 PDFBibTeX XMLCite \textit{A. N. Nakonechnyj}, J. Sov. Math. 34, 1524--1528 (1986; Zbl 0594.60087) Full Text: DOI
Nakonechnyj, A. N. Representation of probability of system fault-free operation as mean of w-functional of terminating Markov process. (English. Russian original) Zbl 0641.60099 Cybernetics 21, 677-681 (1985); translation from Kibernetika 1985, No. 5, 92-94 (1985). Reviewer: M.C.Bhattacharjee MSC: 60K10 60J25 PDFBibTeX XMLCite \textit{A. N. Nakonechnyj}, Cybernetics 21, 677--681 (1985; Zbl 0641.60099); translation from Kibernetika 1985, No. 5, 92--94 (1985) Full Text: DOI
Nakonechnyj, A. G. Approximation of random functions by positive operators. (English. Russian original) Zbl 0601.41026 Sel. Transl. Math. Stat. Probab. 16, 23-26 (1985); translation from Some Quest. Simulation Syst. Control, Kiev 1973, 85-89 (1973). Reviewer: R.Wegmann MSC: 41A36 60F25 PDFBibTeX XMLCite \textit{A. G. Nakonechnyj}, Sel. Transl. Math. Stat. Probab. 16, 23--26 (1985; Zbl 0601.41026); translation from Some Quest. Simulation Syst. Control, Kiev 1973, 85--89 (1973)
Nakonechnyj, A. N. Optimization of the moments of control and replacement of systems. (Russian. English summary) Zbl 0592.62082 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1985, No. 7, 64-67 (1985). MSC: 62N05 60K20 PDFBibTeX XMLCite \textit{A. N. Nakonechnyj}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1985, No. 7, 64--67 (1985; Zbl 0592.62082)
Nakonechnyj, A. G.; Navrodskij, V. A. On minimax estimates for functionals of solutions of stochastic differential equations. (Russian) Zbl 0587.93063 Vestn. Kiev. Univ., Model. Optimizatsiya Slozhnykh Sist. 4, 28-32 (1985). Reviewer: A.Nowak MSC: 93E11 93C10 93E10 60G35 60H10 62M20 PDFBibTeX XMLCite \textit{A. G. Nakonechnyj} and \textit{V. A. Navrodskij}, Vestn. Kiev. Univ., Model. Optimizatsiya Slozhnykh Sist. 4, 28--32 (1985; Zbl 0587.93063)
Nakonechnyj, A. N. Analytical-statistical estimation of the probability of no-failure for a class of systems with variable conditions of use. (Russian) Zbl 0587.62187 Kibernetika 1985, No. 2, 121-122 (1985). MSC: 62N05 PDFBibTeX XMLCite \textit{A. N. Nakonechnyj}, Kibernetika 1985, No. 2, 121--122 (1985; Zbl 0587.62187)
Nakonechnyj, A. G.; Lobok, A. P. Impulse control in distributed parameter systems. (Russian) Zbl 0579.93039 Vestn. Kiev. Univ., Model. Optimizatsiya Slozhnykh Sist. 4, 9-14 (1985). Reviewer: U.Raitums MSC: 93C20 35K20 49J20 35B37 93C05 93C99 PDFBibTeX XMLCite \textit{A. G. Nakonechnyj} and \textit{A. P. Lobok}, Vestn. Kiev. Univ., Model. Optimizatsiya Slozhnykh Sist. 4, 9--14 (1985; Zbl 0579.93039)
Nakonechnyj, A. N. Estimates of reliability of partially restorable systems with variable conditions of use. (Russian) Zbl 0584.60095 Kibernetika 1983, No. 6, 119-120 (1983). Reviewer: W.Dziubdziela MSC: 60K20 90B25 PDFBibTeX XMLCite \textit{A. N. Nakonechnyj}, Kibernetika 1983, No. 6, 119--120 (1983; Zbl 0584.60095)
Nakonechnyj, A. G.; Adzhubej, L. T. Problems of minimax estimation of solutions and right hand sides for the equation of dynamics of plates. (Russian) Zbl 0577.73056 Vestn. Kiev. Univ., Model. Optimizatsiya Slozhnykh Sist. 2, 55-62 (1983). MSC: 74H45 74K20 35A15 PDFBibTeX XMLCite \textit{A. G. Nakonechnyj} and \textit{L. T. Adzhubej}, Vestn. Kiev. Univ., Model. Optimizatsiya Slozhnykh Sist. 2, 55--62 (1983; Zbl 0577.73056)
Nakonechnyj, A. N. On an estimate for the mean value of a nonnegative random process. (Russian) Zbl 0577.60021 Teor. Veroyatn. Mat. Stat. 29, 98-100 (1983). Reviewer: C.Baldauf MSC: 60E15 60G99 PDFBibTeX XML
Nakonechnyj, A. N. Asymptotic estimation of reliability for a non-restorable system with variable conditions of use. (Russian) Zbl 0559.62080 Kibernetika 1983, No. 5, 120-121 (1983). MSC: 62N05 PDFBibTeX XMLCite \textit{A. N. Nakonechnyj}, Kibernetika 1983, No. 5, 120--121 (1983; Zbl 0559.62080)
Nakonechnyj, A. G.; Navrodskij, V. A. Minimax state estimation in linear systems with lag. (English. Russian original) Zbl 0549.93051 Sov. Autom. Control 16, No. 3, 33-38 (1983); translation from Avtomatika 1983, No. 3, 36-41 (1983). Reviewer: M.Tibaldi MSC: 93E10 34K35 93E11 93C05 93E25 PDFBibTeX XMLCite \textit{A. G. Nakonechnyj} and \textit{V. A. Navrodskij}, Sov. Autom. Control 16, No. 3, 33--38 (1983; Zbl 0549.93051); translation from Avtomatika 1983, No. 3, 36--41 (1983)
Nakonechnyj, A. G.; Vladimirova, A. I. Minimax regulator in linear dynamic systems. (Russian) Zbl 0517.93032 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1983, No. 5, 75-77 (1983). MSC: 93C05 47A55 93C99 93C15 PDFBibTeX XMLCite \textit{A. G. Nakonechnyj} and \textit{A. I. Vladimirova}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1983, No. 5, 75--77 (1983; Zbl 0517.93032)
Nakonechnyj, A. G. On minimax theory for the estimation of functionals from the solutions of operator equations. (Russian. English summary) Zbl 0577.47014 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1982, No. 5, 71-74 (1982). Reviewer: V.Barbu MSC: 47A50 PDFBibTeX XMLCite \textit{A. G. Nakonechnyj}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1982, No. 5, 71--74 (1982; Zbl 0577.47014)
Nakonechnyj, A. N. On the asymptotic analysis of reliability of duplicated systems. (Russian) Zbl 0575.60088 Problems of stability of stochastic models, Proc. Semin., Moskva 1981, 92-96 (1981). MSC: 60K10 90B25 PDFBibTeX XML
Nakonechnyj, A. G. Approximate minimax estimates for functionals of solutions of elliptic equations. (Russian) Zbl 0482.49006 Vychisl. Prikl. Mat., Kiev 45, 78-88 (1981). MSC: 49J35 49J20 35J15 PDFBibTeX XMLCite \textit{A. G. Nakonechnyj}, Vychisl. Prikl. Mat. 45, 78--88 (1981; Zbl 0482.49006)
Nakonechnyj, A. G.; Navrodskij, V. A. On minimax estimates of the states of linear stochastic systems. (Ukrainian) Zbl 0451.93053 Dopov. Akad. Nauk Ukr. RSR, Ser. A 1980, No. 8, 64-69 (1980). MSC: 93E10 93C05 49K35 PDFBibTeX XMLCite \textit{A. G. Nakonechnyj} and \textit{V. A. Navrodskij}, Dopov. Akad. Nauk Ukr. RSR, Ser. A 1980, No. 8, 64--69 (1980; Zbl 0451.93053)
Nakonechnyj, A. G. Minimax estimations in systems with distributed parameters. (English) Zbl 0406.35003 Report N79-46 of the Kiev Institute of Kybernetics, Kiev (to appear) (Univ. Kiev, Fak. Kibern., USSR-252022 Kiev). MSC: 35B45 35B30 PDFBibTeX XML
Nakonechnyj, A. G.; Grigorov, A. V. Minimax filtration for systems with noises in the model. (Russian) Zbl 0464.93075 Vychisl. Prikl. Mat., Kiev 38, 152-159 (1979). MSC: 93E11 49J35 93E10 PDFBibTeX XMLCite \textit{A. G. Nakonechnyj} and \textit{A. V. Grigorov}, Vychisl. Prikl. Mat. 38, 152--159 (1979; Zbl 0464.93075)
Nakonechnyj, A. G. Minimax parameter estimations. (Russian) Zbl 0462.62009 Vychisl. Prikl. Mat., Kiev 39, 17-24 (1979). MSC: 62C20 93E10 PDFBibTeX XMLCite \textit{A. G. Nakonechnyj}, Vychisl. Prikl. Mat. 39, 17--24 (1979; Zbl 0462.62009)
Nakonechnyj, A. G. Constructing minimax regulators for linear stochastic systems. (English. Russian original) Zbl 0448.93065 Cybernetics 15, 763-766 (1980); translation from Kibernetika 1979, No. 5, 143-145 (1979). MSC: 93E20 60H10 93C05 PDFBibTeX XMLCite \textit{A. G. Nakonechnyj}, Cybernetics 15, 763--766 (1979; Zbl 0448.93065); translation from Kibernetika 1979, No. 5, 143--145 (1979) Full Text: DOI
Nakonechnyj, A. G. On estimating the states of linear stochastic systems. (English) Zbl 0445.62105 Theory Probab. Math. Stat. 18, 125-130 (1979). MSC: 62M20 93E10 60G25 60H10 PDFBibTeX XMLCite \textit{A. G. Nakonechnyj}, Theory Probab. Math. Stat. 18, 125--130 (1979; Zbl 0445.62105)
Nakonechnyj, A. G. Über eine Abschätzung der Funktionale von Lösungen von Differentialgleichungen. (Russian) Zbl 0423.34086 Arch. Math., Brno 14, 155-160 (1978). MSC: 34G10 34H05 PDFBibTeX XMLCite \textit{A. G. Nakonechnyj}, Arch. Math. (Brno) 14, 155--160 (1978; Zbl 0423.34086) Full Text: EuDML
Kirichenko, N. F.; Nakonechnyj, A. G.; Navrodskij, V. A. Minimax recurrent estimates of the parameters of dynamic systems. (Ukrainian) Zbl 0392.34028 Dopov. Akad. Nauk Ukr. RSR, Ser. A 1978, 1021-1025 (1978). MSC: 37-XX PDFBibTeX XMLCite \textit{N. F. Kirichenko} et al., Dopov. Akad. Nauk Ukr. RSR, Ser. A 1978, 1021--1025 (1978; Zbl 0392.34028)
Kiricenko, N. F.; Nakonecnyi, A. G. Minimax approach to the recurrent estimation of states of linear dynamic systems. (Russian) Zbl 0354.93060 Kibernetika, Kiev 1977, No. 4, 52-55 (1977). MSC: 93E10 PDFBibTeX XMLCite \textit{N. F. Kiricenko} and \textit{A. G. Nakonecnyi}, Kibernetika 1977, No. 4, 52--55 (1977; Zbl 0354.93060)
Nakonechnyj, A. G. Zur Frage über ein verkürztes mehrdimensionales Momentenproblem. (Russian) Zbl 0436.44011 Math. Collect., Acad. Sci. Ukr. SSR, Inst. Math. 155, 10-12 (1976). MSC: 44A55 PDFBibTeX XML
Nakonechnyj, A. G. Gewisse Eigenschaften von Momentenfolgen. (Russian) Zbl 0436.44010 Math. Collect., Acad. Sci. Ukr. SSR, Inst. Math. 155, 6-9 (1976). MSC: 44A55 PDFBibTeX XML
Nakonechnyĭ, A. G. Über Momentenfunktionen von Zufallsprozessen. (Russian) Zbl 0298.60025 Teor. Veroyatn. Mat. Stat. Sb. 9, 145-152 (1973). MSC: 60G05 PDFBibTeX XML
Nakonechnyĭ, A. G. Moments of higher orders. (English. Russian original) Zbl 0263.44009 Sov. Math., Dokl. 13, 931-933 (1972); translation from Dokl. Akad. Nauk SSSR 205, 286-288 (1972). Reviewer: R. Iasnogorodski MSC: 44A60 60E05 60G05 PDFBibTeX XMLCite \textit{A. G. Nakonechnyĭ}, Sov. Math., Dokl. 13, 931--933 (1972; Zbl 0263.44009); translation from Dokl. Akad. Nauk SSSR 205, 286--288 (1972)