# zbMATH — the first resource for mathematics

## Vinokurov, V. A.

Compute Distance To:
 Author ID: vinokurov.v-a Published as: Vinokurov, V.; Vinokurov, V. A.
 Documents Indexed: 82 Publications since 1967
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#### Co-Authors

 49 single-authored 11 Sadovnichiĭ, Viktor Antonovich 7 Plichko, Anatoliĭ Mykolaĭovych 3 Petunin, Yuriĭ Ivanovich 2 Gladun, L. V. 2 Menikhes, Leonid Davidovich 2 Novak, V. I. 2 Repnikov, N. F. 2 Satov, A. K. 2 Shaposhnikov, V. L. 1 Domanskij, E. N. 1 Gaponenko, Yu. L. A. N. 1 Kostikov, Yu. A. 1 Nurgalieva, I. G. 1 Vvekenskaya, E. V. 1 Yuvchenko, N. V.
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#### Serials

 23 Soviet Mathematics. Doklady 17 U.S.S.R. Computational Mathematics and Mathematical Physics 14 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 9 Doklady Mathematics 3 Differential Equations 3 Differential Equations 2 Mathematical Notes 1 Doklady Akademii Nauk SSSR 1 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika 1 Matematicheskie Zametki 1 Soviet Mathematics 1 Soviet Physics. Doklady 1 Journal of Mathematical Sciences (New York) 1 Izvestiya: Mathematics 1 Doklady Physics 1 Matematicheskie Zapiski
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#### Fields

 32 Numerical analysis (65-XX) 22 Ordinary differential equations (34-XX) 20 Operator theory (47-XX) 14 Functional analysis (46-XX) 7 Approximations and expansions (41-XX) 6 Measure and integration (28-XX) 6 Partial differential equations (35-XX) 6 General topology (54-XX) 3 Real functions (26-XX) 2 Category theory; homological algebra (18-XX) 2 Statistics (62-XX) 2 Mechanics of deformable solids (74-XX) 2 Geophysics (86-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH

24 Publications have been cited 73 times in 56 Documents Cited by Year
Asymptotics of any order for the eigenvalues and eigenfunctions of the Sturm-Liouville boundary value problem on a segment with a summable potential. Zbl 1001.34021
Vinokurov, V. A.; Sadovnichij, V. A.
2000
The asymptotics of eigenvalues and eigenfunctions and a trace formula for a potential with Delta functions. Zbl 1043.34092
Vinokurov, V. A.; Sadovnichii, V. A.
2002
Asymptotics of eigenvalues and eigenfunctions and the trace formula for a potential that contains $$\delta$$-functions. Zbl 1090.34603
Vinokurov, V. A.; Sadovnichiĭ, V. A.
2001
The eigenvalue and trace of the Sturm-Liouville operator as differentiable functions of a summable potential. Zbl 0967.34076
Vinokurov, V. A.; Sadovnichij, V. A.
1999
Strict regularizability of discontinuous functions. Zbl 0626.54014
Vinokurov, V. A.
1985
On some problems of linear regularizability. Zbl 0544.47012
Vinokurov, V. A.; Domanskij, E. N.; Menikhes, L. D.; Plichko, A. N.
1983
A posteriori estimates of the solutions of ill-posed inverse problems. Zbl 0523.65046
Vinokurov, V. A.; Gaponenko, Yu. L.
1982
On the range of variation of an eigenvalue when the potential is varied. Zbl 1143.34325
Vinokurov, V. A.; Sadovnichii, V. A.
2003
Uniform equiconvergence of a Fourier series in eigenfunctions of the first boundary value problem and of a Fourier trigonometric series. Zbl 1066.34514
Vinokurov, V. A.; Sadovnichij, V. A.
2001
Arbitrary-order asymptotics of the eigenvalues and eigenfunctions of the Sturm-Liouville boundary value problem with integrable potential on a closed interval. Zbl 0953.34019
Vinokurov, V. A.; Sadovnichij, V. A.
1998
Regularizability and analytic representability. Zbl 0321.54006
Vinokurov, V. A.
1975
On a necessary condition for regularizability in the sense of Tikhonov. Zbl 0218.54003
Vinokurov, V. A.
1970
On normalizing subspaces of a conjugate space and regularizability of inverse operators. Zbl 0585.46013
Vinokurov, V. A.; Gladun, L. V.; Plichko, A. N.
1985
Measurability and regularizability of mappings inverse to continuous linear operators. Zbl 0447.46001
Vinokurov, V. A.; Petunin, Yu. I.; Plichko, A. N.
1980
Regularizable functions in topological spaces and inverse problems. Zbl 0423.65032
Vinokurov, V. A.
1979
General properties for the errors of approximate solutions of linear functional equations. Zbl 0217.52803
Vinokurov, V. A.
1971
Mathematical description of artificial sense-of-touch systems. Zbl 1385.92004
Vinokurov, V. A.; Sadovnichy, V. A.
2010
Analytic dependence of the solution of a linear differential equation on integrable coefficients. Zbl 1098.34048
Vinokurov, V. A.
2005
The eigenvalue and the eigenfunction of the Sturm-Liouville problem treated as analytic functions of the integrable potential. Zbl 1092.34578
Vinokurov, V. A.
2005
An explicit solution to a linear ordinary differential equation and the main property of the exponential function. Zbl 0912.34010
Vinokurov, V. A.
1997
The logarithm of the solution of a linear differential equation, Hausdorff’s formula, and conservation laws. Zbl 0772.34012
Vinokurov, V. A.
1991
A method for the numerical solution of linear differential equations. Zbl 0529.65032
Vinokurov, V. A.
1982
The order of the error when computing a function whose argument is specified approximately. Zbl 0293.65037
Vinokurov, V. A.
1974
Two notes on the choice of regularization parameter. Zbl 0257.47007
Vinokurov, V. A.
1973
Mathematical description of artificial sense-of-touch systems. Zbl 1385.92004
Vinokurov, V. A.; Sadovnichy, V. A.
2010
Analytic dependence of the solution of a linear differential equation on integrable coefficients. Zbl 1098.34048
Vinokurov, V. A.
2005
The eigenvalue and the eigenfunction of the Sturm-Liouville problem treated as analytic functions of the integrable potential. Zbl 1092.34578
Vinokurov, V. A.
2005
On the range of variation of an eigenvalue when the potential is varied. Zbl 1143.34325
Vinokurov, V. A.; Sadovnichii, V. A.
2003
The asymptotics of eigenvalues and eigenfunctions and a trace formula for a potential with Delta functions. Zbl 1043.34092
Vinokurov, V. A.; Sadovnichii, V. A.
2002
Asymptotics of eigenvalues and eigenfunctions and the trace formula for a potential that contains $$\delta$$-functions. Zbl 1090.34603
Vinokurov, V. A.; Sadovnichiĭ, V. A.
2001
Uniform equiconvergence of a Fourier series in eigenfunctions of the first boundary value problem and of a Fourier trigonometric series. Zbl 1066.34514
Vinokurov, V. A.; Sadovnichij, V. A.
2001
Asymptotics of any order for the eigenvalues and eigenfunctions of the Sturm-Liouville boundary value problem on a segment with a summable potential. Zbl 1001.34021
Vinokurov, V. A.; Sadovnichij, V. A.
2000
The eigenvalue and trace of the Sturm-Liouville operator as differentiable functions of a summable potential. Zbl 0967.34076
Vinokurov, V. A.; Sadovnichij, V. A.
1999
Arbitrary-order asymptotics of the eigenvalues and eigenfunctions of the Sturm-Liouville boundary value problem with integrable potential on a closed interval. Zbl 0953.34019
Vinokurov, V. A.; Sadovnichij, V. A.
1998
An explicit solution to a linear ordinary differential equation and the main property of the exponential function. Zbl 0912.34010
Vinokurov, V. A.
1997
The logarithm of the solution of a linear differential equation, Hausdorff’s formula, and conservation laws. Zbl 0772.34012
Vinokurov, V. A.
1991
Strict regularizability of discontinuous functions. Zbl 0626.54014
Vinokurov, V. A.
1985
On normalizing subspaces of a conjugate space and regularizability of inverse operators. Zbl 0585.46013
Vinokurov, V. A.; Gladun, L. V.; Plichko, A. N.
1985
On some problems of linear regularizability. Zbl 0544.47012
Vinokurov, V. A.; Domanskij, E. N.; Menikhes, L. D.; Plichko, A. N.
1983
A posteriori estimates of the solutions of ill-posed inverse problems. Zbl 0523.65046
Vinokurov, V. A.; Gaponenko, Yu. L.
1982
A method for the numerical solution of linear differential equations. Zbl 0529.65032
Vinokurov, V. A.
1982
Measurability and regularizability of mappings inverse to continuous linear operators. Zbl 0447.46001
Vinokurov, V. A.; Petunin, Yu. I.; Plichko, A. N.
1980
Regularizable functions in topological spaces and inverse problems. Zbl 0423.65032
Vinokurov, V. A.
1979
Regularizability and analytic representability. Zbl 0321.54006
Vinokurov, V. A.
1975
The order of the error when computing a function whose argument is specified approximately. Zbl 0293.65037
Vinokurov, V. A.
1974
Two notes on the choice of regularization parameter. Zbl 0257.47007
Vinokurov, V. A.
1973
General properties for the errors of approximate solutions of linear functional equations. Zbl 0217.52803
Vinokurov, V. A.
1971
On a necessary condition for regularizability in the sense of Tikhonov. Zbl 0218.54003
Vinokurov, V. A.
1970
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#### Cited by 57 Authors

 7 Mitrokhin, Sergeĭ Ivanovich 4 Leonov, Aleksandr Sergeevich 4 Pechentsov, A. S. 3 Domanskij, E. N. 3 Ostrovskii, Mikhail Iosifovich 3 Plichko, Anatoliĭ Mykolaĭovych 3 Sadovnichaya, I. V. 2 Banakh, Taras Onufrievich 2 Bokalo, Bogdan 2 Sadovnichiĭ, Viktor Antonovich 2 Vinokurov, V. A. 2 Vladimirov, Anton A. 2 Yang, Chuanfu 1 Akhmerova, Eh. F. 1 Bellen, Alfredo 1 Blanes, Sergio 1 Bukovský, Lev 1 Casas, Fernando 1 Cheng, Xiaoliang 1 Chu, Chieping 1 Dragunov, Denys V. 1 Efremova, Liubov S. 1 Ezhak, Svetlana Sergeevna 1 Freiling, Gerhard 1 Gao, Qin 1 Gladun, L. V. 1 Guo, Shuyuan 1 Huang, Zhengda 1 Ignat’ev, Mikhail Yur’evich 1 Kadchenko, Sergeĭ Ivanovich 1 Kakushkin, Sergeĭ Nikolaevich 1 Karulina, Elena S. 1 Kokurin, Mikhail Yur’evich 1 Kolos, Nadiya 1 Koyunbakan, Hikmet 1 Liskovets, O. A. 1 Makarov, Volodymyr Leonidovich 1 Makhnei, Oleksandr V. 1 Menikhes, Leonid Davidovich 1 Moan, Per Christian 1 Morozov, Vladimir Alekseevich 1 Niesen, Jitse 1 Ostrovsky, Alexey Vladimirovich 1 Petunin, Yuriĭ Ivanovich 1 Podol’skiĭ, Vladimir Evgen’evich 1 Popov, Anton Yur’evich 1 Rossokhata, Nataliya O. 1 Shieh, Chung-Tsun 1 Šupina, Jaroslav 1 Telnova, Maria 1 Trynin, Aleksandr Yur’evich 1 Vasin, Vladimir Vasil’evich 1 Viloche Bazán, Fermín S. 1 Wang, Yuping 1 Xu, Guixin 1 Zennaro, Marino 1 Zhang, Meirong
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#### Cited in 29 Serials

 6 Mathematical Notes 6 Siberian Mathematical Journal 5 Differential Equations 4 Topology and its Applications 3 Journal of Computational and Applied Mathematics 3 Journal of Soviet Mathematics 2 Computational Mathematics and Mathematical Physics 2 Russian Mathematics 2 Journal of Mathematical Sciences (New York) 2 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 2 Proceedings of the Steklov Institute of Mathematics 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Moscow University Mathematics Bulletin 1 Ukrainian Mathematical Journal 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Archiv der Mathematik 1 Results in Mathematics 1 Acta Mathematicae Applicatae Sinica. English Series 1 Journal of Scientific Computing 1 Linear Algebra and its Applications 1 Russian Journal of Mathematical Physics 1 Sbornik: Mathematics 1 Foundations of Computational Mathematics 1 Central European Journal of Mathematics 1 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 1 Ufimskiĭ Matematicheskiĭ Zhurnal 1 Carpathian Mathematical Publications 1 Sibirskiĭ Zhurnal Chistoĭ i Prikladnoĭ Matematiki
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#### Cited in 18 Fields

 29 Ordinary differential equations (34-XX) 24 Operator theory (47-XX) 14 Numerical analysis (65-XX) 8 Functional analysis (46-XX) 4 General topology (54-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Mathematical logic and foundations (03-XX) 2 Measure and integration (28-XX) 2 Partial differential equations (35-XX) 2 Integral equations (45-XX) 1 Nonassociative rings and algebras (17-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Mechanics of deformable solids (74-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX)