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Kochubeĭ, Anatoliĭ Naumovych

Author ID: kochubei.anatoly-n Recent zbMATH articles by "Kochubeĭ, Anatoliĭ Naumovych"
Published as: Kochubej, A. N.; Kochubei, Anatoly N.; Kochubei, A. N.; Kochubei, Anatoly; Kochubeĭ, A. N.; Kochubei, Anatolii N.; Kochubej, Anatolij N.
Further Spellings: Кочубей Анатолий Наумович; Кочубей Анатолій Наумович
Homepage: https://www.imath.kiev.ua/people/profile.php?pid=32
External Links: MGP · Wikidata · Google Scholar · Math-Net.Ru · dblp · GND · IdRef
Documents Indexed: 153 Publications since 1971, including 3 Books and 3 Additional arXiv Preprints
5 Contributions as Editor
Reviewing Activity: 2,089 Reviews
Biographic References: 1 Publication
Co-Authors: 56 Co-Authors with 39 Joint Publications
2,176 Co-Co-Authors
all top 5

Co-Authors

119 single-authored
10 Kondrat’yev, Yuriĭ Grygorovych
7 Gorbachuk, Myroslav L’vovych
6 Antonyuk, Oleksandra Viktorivna
5 Berezans’kyĭ, Yuriĭ Makarovych
4 da Silva, José Luís
4 Eĭdel’man, Samuïl Davydovych
4 Gorbachuk, Valentyna Ivanivna
4 Khrennikov, Andreĭ Yur’evich
3 Adamyan, Vadym Movsesovych
3 Sait-Ametov, Mustafa R.
2 Gohberg, Israel
2 Khruslov, Eugene Yakovlevich
2 Langer, Heinz
2 Luchko, Yuri
2 Popov, Gennadiĭ Yakovlevich
1 Anashin, Vladimir Sergeevich
1 Beltrametti, Enrico G.
1 Boĭchuk, Oleksandr Andriĭovych
1 Cassinelli, Gianni
1 Dragovich, Branko
1 Fioresi, Rita
1 Gerasimenko, Viktor Ivanovich
1 Gubreev, Gennadiĭ Mykhaĭlovych
1 Hutlyans’kyi, V. Ya.
1 Ivasyshen, Stepan Dmytrovych
1 Kaneko, Hiroshi
1 Korolyuk, Volodymyr Semenovych
1 Kozyrev, Sergeĭ Vladimirovich
1 Kushnir, Roman M.
1 Lukovsky, Ivan Oleksandrovych
1 Makarov, Volodymyr Leonidovych
1 Malamud, Mark M.
1 Marchenko, Vladimir Aleksandrovich
1 Mykhaĭlets’, Volodymyr Andriĭovych
1 Nikitchenko, Oleksii
1 Nikitin, A. H.
1 Nizhnik, Leonid Pavlovich
1 Oleschko, Klaudia
1 Parasyuk, Igor O.
1 Parthasarathy, Kalyanapuram Rangachari
1 Pastur, Leonid Andreevich
1 Perestyuk, Mykola Oleksiĭovych
1 Piskarëv, S. I.
1 Portenko, Mykola Ivanovych
1 Rofe-Beketov, Fedir Semenovych
1 Ronto, M. I.
1 Rybak, M. A.
1 Samoĭlenko, Anatoliĭ Mykhaĭlovych
1 Samoĭlenko, Yuriĭ Stefanovych
1 Serdiuk, Mariia V.
1 Sharkovs’kyĭ, Oleksandr Mykolaĭovych
1 Shklyar, Alexander Ya.
1 Soskin, Daniel S.
1 Tkachenko, Victor Ivanovich
1 Trofimchuk, Sergei I.
1 Varadarajan, Veeravalli S.
1 Volovich, Igor’ Vasil’evich
all top 5

Serials

12 Ukrainian Mathematical Journal
9 Ukraïns’kyĭ Matematychnyĭ Zhurnal
8 Differential Equations
7 Methods of Functional Analysis and Topology
5 Differentsial’nye Uravneniya
4 Siberian Mathematical Journal
4 Soviet Mathematics. Doklady
4 Fractional Calculus & Applied Analysis
3 Journal of Mathematical Analysis and Applications
3 Mathematical Notes
3 Mathematics of the USSR. Izvestiya
3 Dopovidi Akademiï Nauk Ukraïns’koï RSR. Seriya A
3 Potential Analysis
3 Doklady Mathematics
3 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
3 Journal of Pseudo-Differential Operators and Applications
3 Operator Theory: Advances and Applications
2 Applicable Analysis
2 Journal of Mathematical Physics
2 Theoretical and Mathematical Physics
2 Functional Analysis and its Applications
2 Integral Equations and Operator Theory
2 Journal of Number Theory
2 Pacific Journal of Mathematics
2 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya
2 Russian Academy of Sciences. Izvestiya. Mathematics
2 Algebras and Representation Theory
2 Infinite Dimensional Analysis, Quantum Probability and Related Topics
2 Dopovidi Natsional’noï Akademiï Nauk Ukraïny. Matematyka, Pryrodoznavstvo, Tekhnichni Nauky
2 Handbook of Fractional Calculus with Applications
1 Letters in Mathematical Physics
1 Physica A
1 Teoriya Veroyatnosteĭ i eë Primeneniya
1 Theory of Probability and its Applications
1 Funktsional’nyĭ Analiz i ego Prilozheniya
1 Journal of Algebra
1 Journal of Differential Equations
1 Sibirskiĭ Matematicheskiĭ Zhurnal
1 Tôhoku Mathematical Journal. Second Series
1 Advances in Applied Mathematics
1 Soviet Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
1 Journal of Theoretical Probability
1 Izvestiya Akademii Nauk Armyanskoi SSR. Matematika
1 Journal of Physics A: Mathematical and General
1 Expositiones Mathematicae
1 Teoriya Funktsiĭ, Funktsional’nyĭ Analiz i ikh Prilozheniya
1 Funktsional’nyĭ Analiz
1 Bulletin of the Belgian Mathematical Society - Simon Stevin
1 Finite Fields and their Applications
1 Izvestiya: Mathematics
1 The Journal of Fourier Analysis and Applications
1 European Mathematical Society Newsletter
1 Analysis (München)
1 Stochastics and Dynamics
1 International Journal of Number Theory
1 Cambridge Tracts in Mathematics
1 Proceedings of the Steklov Institute of Mathematics
1 Pure and Applied Mathematics, Marcel Dekker
1 Translations. Series 2. American Mathematical Society
1 Journal of Physics A: Mathematical and Theoretical
1 Zbirnyk Prats’ Instytutu Matematyky NAN Ukraïny
1 Kinetic and Related Models
1 Journal of Spectral Theory

Publications by Year

Citations contained in zbMATH Open

92 Publications have been cited 2,022 times in 1,366 Documents Cited by Year
Cauchy problem for fractional diffusion equations. Zbl 1068.35037
Eidelman, Samuil D.; Kochubei, Anatoly N.
257
2004
Fractional differential equations. Zbl 1410.26004
226
2019
Distributed order calculus and equations of ultraslow diffusion. Zbl 1149.26014
Kochubei, Anatoly N.
193
2008
Pseudo-differential equations and stochastics over non-Archimedean fields. Zbl 0984.11063
Kochubei, Anatoly N.
156
2001
General fractional calculus, evolution equations, and renewal processes. Zbl 1250.26006
Kochubei, Anatoly N.
145
2011
Fractional-order diffusion. Zbl 0729.35064
Kochubei, A. N.
114
1990
Analytic methods in the theory of differential and pseudo-differential equations of parabolic type. Zbl 1062.35003
Eidelman, Samuil D.; Ivasyshen, Stepan D.; Kochubei, Anatoly N.
104
2004
Basic theory. Zbl 1410.26003
88
2019
Extensions of symmetric operators and symmetric binary relations. Zbl 0322.47006
Kochubej, A. N.
82
1975
A Cauchy problem for evolution equations of fractional order. Zbl 0696.34047
Kochubej, A. N.
69
1989
Cauchy problem for evolution equations of a fractional order. Zbl 1129.35427
Kochubei, A. N.; Èidelman, S. D.
38
2004
Fractional-parabolic systems. Zbl 1259.35218
Kochubei, Anatoly N.
29
2012
Cauchy problem for fractional diffusion-wave equations with variable coefficients. Zbl 1297.35274
Kochubei, Anatoly N.
29
2014
Parabolic pseudodifferential equations, hypersingular integrals, and Markov processes. Zbl 0682.35113
Kochubej, A. N.
28
1989
\(p\)-adic analogue of the porous medium equation. Zbl 1401.35165
Khrennikov, Andrei Yu.; Kochubei, Anatoly N.
24
2018
A non-Archimedean wave equation. Zbl 1190.35235
Kochubei, Anatoly N.
19
2008
Extension theory for symmetric operators and boundary value problems for differential equations. Zbl 0706.47001
Gorbachuk, V. I.; Gorbachuk, M. L.; Kochubej, A. N.
18
1989
Diffusion of fractional order. Zbl 0712.35049
Kochubej, A. N.
17
1990
Radial solutions of non-Archimedean pseudodifferential equations. Zbl 1396.35070
Kochubei, Anatoly N.
17
2014
Distributed order derivatives and relaxation patterns. Zbl 1191.34005
Kochubei, Anatoly N.
16
2009
Asymptotic properties of solutions of the fractional diffusion-wave equation. Zbl 1323.35197
Kochubei, Anatoly N.
16
2014
Stochastic integrals and stochastic differential equations over the field of \(p\)-adic numbers. Zbl 0874.60047
Kochubei, Anatoly N.
15
1997
Parabolic equations over the field of \(p\)-adic numbers. Zbl 0778.35001
Kochubej, A. N.
14
1991
Weak solutions of stochastic differential equations over the field of \(p\)-adic numbers. Zbl 1136.60039
Kaneko, Hiroshi; Kochubei, Anatoly N.
14
2007
Interaction measures on the space of distributions over the field of \(p\)-adic numbers. Zbl 1053.81067
Kochubei, Anatoly N.; Sait-Ametov, Mustafa R.
14
2003
On characteristic functions of symmetric operators and their extensions. Zbl 0444.47023
Kochubej, A. N.
13
1980
Fractional kinetic hierarchies and intermittency. Zbl 1359.82014
Kochubei, Anatoly N.; Kondratiev, Yuri
13
2017
Fractional-hyperbolic systems. Zbl 1312.35183
Kochubei, Anatoly
12
2013
Fundamental solutions of pseudodifferential equations connected with \(p\)-adic quadratic forms. Zbl 0934.35218
Kochubei, A. N.
12
1998
Multidimensional nonlinear pseudo-differential evolution equation with \(p\)-adic spatial variables. Zbl 1454.35423
Antoniouk, Alexandra V.; Khrennikov, Andrei Yu.; Kochubei, Anatoly N.
11
2020
Elliptic operators with boundary conditions on a subset of measure zero. Zbl 0506.35029
Kochubej, A. N.
10
1982
Distributed-order calculus: An operator-theoretic interpretation. Zbl 1164.26009
Kochubei, A. N.
9
2008
A Schrödinger-type equation over the field of \(p\)-adic numbers. Zbl 0780.35088
Kochubei, Anatolii N.
9
1993
One-dimensional point interactions. Zbl 0703.34086
Kochubej, A. N.
9
1989
One-dimensional point interactions. Zbl 0693.34018
Kochubej, A. N.
8
1989
A stochastic \(p\)-adic model of the capillary flow in porous random medium. Zbl 1514.60111
Antoniouk, Alexandra V.; Oleschko, Klaudia; Kochubei, Anatoly N.; Khrennikov, Andrei Yu.
8
2018
\(p\)-adic commutation relations. Zbl 0905.46051
Kochubei, Anatoly N.
8
1996
Limit theorems for sums of \(p\)-adic random variables. Zbl 0954.60001
Kochubei, Anatoly N.
8
1998
Analysis in positive characteristic. Zbl 1171.12005
Kochubei, Anatoly N.
7
2009
Symmetric operators and nonclassical spectral problems. Zbl 0454.47023
Kochubej, A. N.
7
1979
Schrödinger-type operator over \(p\)-adic number field. Zbl 0809.47060
Kochubej, A. N.
7
1991
Hausdorff measure for a stable-like process over an infinite extension of a local field. Zbl 1018.60038
Kochubei, Anatoly N.
7
2002
Harmonic oscillator in characteristic \(p\). Zbl 1036.11520
Kochubei, Anatoly N.
7
1998
Differential equations for \({\mathbb F}_q\)-linear functions. Zbl 1010.11066
Kochubei, Anatoly N.
6
2000
On \(p\)-adic Green’s functions. Zbl 0843.35147
Kochubei, A. N.
5
1993
Parabolic equations on a \(p\)-adic number field. Zbl 0765.35002
Kochubeĭ, A. N.
5
1991
Linear and nonlinear heat equations on a \(p\)-adic ball. Zbl 1439.35537
Kochubei, A. N.
5
2018
The extensions of a nondensely defined symmetric operator. Zbl 0409.47014
Kochubej, A. N.
4
1977
Non-Archimedean radial calculus: Volterra operator and Laplace transform. Zbl 1514.47079
Kochubei, Anatoly N.
4
2020
Random time change and related evolution equations. Time asymptotic behavior. Zbl 1452.35038
Kochubei, Anatoly N.; Kondratiev, Yuri G.; da Silva, José L.
4
2020
Nonlinear pseudo-differential equations for radial real functions on a non-Archimedean field. Zbl 1427.35384
Kochubei, Anatoly N.
4
2020
Additive and multiplicative fractional differentiations over the field of \(p\)-adic numbers. Zbl 0882.26015
Kochubei, Anatoly N.
4
1997
\(\mathbb{F}_q\)-linear calculus over function fields. Zbl 1029.11019
Kochubei, Anatoly N.
4
1999
Analysis and probability over infinite extensions of a local field. Zbl 1023.60501
Kochubei, Anatoly N.
4
1999
On the compactness and the uniform continuity of a resolvent family for a fractional differential equation. Zbl 1313.34001
Antonyuk, O. V.; Kochubei, A. N.; Piskarev, S. I.
4
2014
On the \(p\)-adic Navier-Stokes equation. Zbl 1446.35277
Khrennikov, Andrei Yu.; Kochubei, Anatoly N.
4
2020
Dissipative extensions of differential operators in a space of vector- functions. Zbl 0261.47026
Gorbachuk, M. L.; Kochubej, A. N.; Rybak, M. A.
3
1972
Über Erweiterungen J-symmetrischer Operatoren. Zbl 0424.47025
Kochubej, A. N.
3
1979
Self-adjoint extensions of a Schrödinger operator with singular potential. Zbl 0737.34061
Kochubej, A. N.
3
1991
On some classes of non-Archimedean operator algebras. Zbl 1335.47047
Kochubei, Anatoly N.
3
2013
Heat equation in a \(p\)-adic ball. Zbl 0926.60091
Kochubej, Anatolij N.
3
1996
Differential equations for \(\mathbb F_q\)-linear functions. II: Regular singularity. Zbl 1081.11075
Kochubei, Anatoly N.
3
2003
Equations of one-dimensional fractal diffusion. Zbl 1037.35117
Kochubeĭ, A. N.; Èĭdel’man, S. D.
3
2003
Hypergeometric functions and Carlitz differential equations over function fields. Zbl 1211.12008
Kochubei, Anatoly N.
2
2007
Evolution equations and functions of hypergeometric type over fields of positive characteristics. Zbl 1197.12004
Kochubei, Anatoly N.
2
2007
Fractional differential equations: \(\alpha\)-entire solutions, regular and irregular singularities. Zbl 1178.26007
Kochubei, Anatoly N.
2
2009
On extensions of a nondensely defined symmetric operator. Zbl 0362.47008
Kochubej, A. N.
2
1977
On extensions of a positive-definite symmetric operator. Zbl 0555.47029
Kochubej, A. N.
2
1984
On best approximation in normed modules. Zbl 0262.41035
Kochubej, A. N.
2
1973
On extensions of a positive definite symmetric operator. Zbl 0454.47022
Kochubej, A. N.
2
1979
Umbral calculus in positive characteristic. Zbl 1062.05020
Kochubei, Anatoly N.
2
2005
Stabilization of solutions of dissipative hyperbolic equations. Zbl 0625.35051
Kochubej, A. N.
1
1986
Dwork-Carlitz exponential and overconvergence for additive functions in positive characteristic. Zbl 1160.11033
Kochubei, Anatoly N.
1
2008
The differentiation operator on subsets of the field of \(p\)-adic numbers. Zbl 0784.47057
Kochubej, A. N.
1
1992
Self-adjoint extensions of Schrödinger operators with singular potentials. Zbl 0725.47006
Kochubei, A. N.
1
1990
Über symmetrische Operatoren, die mit einer Familie unitärer Operatoren kommutieren. Zbl 0436.47018
Kochubej, A. N.
1
1979
Polylogarithms and a zeta function for finite places of a function field. Zbl 1153.11325
Kochubei, Anatoly N.
1
2005
The spectra of self-adjoint extensions of a symmetric operator. Zbl 0333.47012
Kochubej, A. N.
1
1976
Stabilization of solutions of dissipative hyperbolic equations with almost-periodic coefficients. Zbl 0697.35082
Kochubej, A. N.
1
1987
Singular parabolic equations and Markov processes. Zbl 0545.35039
Kochubej, A. N.
1
1984
\(L^p\) properties of non-Archimedean fractional differentiation operators. Zbl 07447237
Kochubei, Anatoly N.
1
2021
On a \(p\)-adic wave equation. Zbl 1191.47090
Kochubei, Anatoly N.
1
2009
Non-Archimedean shift operators. Zbl 1270.47069
Kochubei, Anatoly N.
1
2010
Symmetric operators commuting with a family of unitary operators. Zbl 0459.47019
Kochubej, A. N.
1
1980
Non-Archimedean normal operators. Zbl 1309.47089
Kochubei, Anatoly N.
1
2010
Construction of interaction measures on the space of distributions over the field of \(p\)-adic numbers. Zbl 1098.81060
Kochubei, A. N.; Sait-Ametov, M. R.
1
2004
Non-Archimedean group algebras with Baer reductions. Zbl 1320.47074
Kochubei, Anatoly N.
1
2014
Fractional statistical dynamics and fractional kinetics. Zbl 1374.82017
Da Silva, Jose Luis; Kochubei, Anatoly N.; Kondratiev, Yuri
1
2016
On fractional heat equation. Zbl 1474.35658
Kochubei, Anatoly N.; Kondratiev, Yuri; da Silva, José Luís
1
2021
Fractional approximation of solutions of evolution equations. Zbl 1338.34109
Kochubei, Anatoly N.; Kondratiev, Yuri G.
1
2016
\(p\)-adic spherical coordinates and their applications. Zbl 1187.60039
Kochubei, A. N.
1
2009
Pseudo-differential equations with weak degeneration for radial functions of \(p\)-adic argument. Zbl 1510.35410
Antoniouk, Alexandra V.; Kochubei, Anatoly N.; Serdiuk, Mariia V.
1
2023
Pseudo-differential equations with weak degeneration for radial functions of \(p\)-adic argument. Zbl 1510.35410
Antoniouk, Alexandra V.; Kochubei, Anatoly N.; Serdiuk, Mariia V.
1
2023
\(L^p\) properties of non-Archimedean fractional differentiation operators. Zbl 07447237
Kochubei, Anatoly N.
1
2021
On fractional heat equation. Zbl 1474.35658
Kochubei, Anatoly N.; Kondratiev, Yuri; da Silva, José Luís
1
2021
Multidimensional nonlinear pseudo-differential evolution equation with \(p\)-adic spatial variables. Zbl 1454.35423
Antoniouk, Alexandra V.; Khrennikov, Andrei Yu.; Kochubei, Anatoly N.
11
2020
Non-Archimedean radial calculus: Volterra operator and Laplace transform. Zbl 1514.47079
Kochubei, Anatoly N.
4
2020
Random time change and related evolution equations. Time asymptotic behavior. Zbl 1452.35038
Kochubei, Anatoly N.; Kondratiev, Yuri G.; da Silva, José L.
4
2020
Nonlinear pseudo-differential equations for radial real functions on a non-Archimedean field. Zbl 1427.35384
Kochubei, Anatoly N.
4
2020
On the \(p\)-adic Navier-Stokes equation. Zbl 1446.35277
Khrennikov, Andrei Yu.; Kochubei, Anatoly N.
4
2020
Fractional differential equations. Zbl 1410.26004
226
2019
Basic theory. Zbl 1410.26003
88
2019
\(p\)-adic analogue of the porous medium equation. Zbl 1401.35165
Khrennikov, Andrei Yu.; Kochubei, Anatoly N.
24
2018
A stochastic \(p\)-adic model of the capillary flow in porous random medium. Zbl 1514.60111
Antoniouk, Alexandra V.; Oleschko, Klaudia; Kochubei, Anatoly N.; Khrennikov, Andrei Yu.
8
2018
Linear and nonlinear heat equations on a \(p\)-adic ball. Zbl 1439.35537
Kochubei, A. N.
5
2018
Fractional kinetic hierarchies and intermittency. Zbl 1359.82014
Kochubei, Anatoly N.; Kondratiev, Yuri
13
2017
Fractional statistical dynamics and fractional kinetics. Zbl 1374.82017
Da Silva, Jose Luis; Kochubei, Anatoly N.; Kondratiev, Yuri
1
2016
Fractional approximation of solutions of evolution equations. Zbl 1338.34109
Kochubei, Anatoly N.; Kondratiev, Yuri G.
1
2016
Cauchy problem for fractional diffusion-wave equations with variable coefficients. Zbl 1297.35274
Kochubei, Anatoly N.
29
2014
Radial solutions of non-Archimedean pseudodifferential equations. Zbl 1396.35070
Kochubei, Anatoly N.
17
2014
Asymptotic properties of solutions of the fractional diffusion-wave equation. Zbl 1323.35197
Kochubei, Anatoly N.
16
2014
On the compactness and the uniform continuity of a resolvent family for a fractional differential equation. Zbl 1313.34001
Antonyuk, O. V.; Kochubei, A. N.; Piskarev, S. I.
4
2014
Non-Archimedean group algebras with Baer reductions. Zbl 1320.47074
Kochubei, Anatoly N.
1
2014
Fractional-hyperbolic systems. Zbl 1312.35183
Kochubei, Anatoly
12
2013
On some classes of non-Archimedean operator algebras. Zbl 1335.47047
Kochubei, Anatoly N.
3
2013
Fractional-parabolic systems. Zbl 1259.35218
Kochubei, Anatoly N.
29
2012
General fractional calculus, evolution equations, and renewal processes. Zbl 1250.26006
Kochubei, Anatoly N.
145
2011
Non-Archimedean shift operators. Zbl 1270.47069
Kochubei, Anatoly N.
1
2010
Non-Archimedean normal operators. Zbl 1309.47089
Kochubei, Anatoly N.
1
2010
Distributed order derivatives and relaxation patterns. Zbl 1191.34005
Kochubei, Anatoly N.
16
2009
Analysis in positive characteristic. Zbl 1171.12005
Kochubei, Anatoly N.
7
2009
Fractional differential equations: \(\alpha\)-entire solutions, regular and irregular singularities. Zbl 1178.26007
Kochubei, Anatoly N.
2
2009
On a \(p\)-adic wave equation. Zbl 1191.47090
Kochubei, Anatoly N.
1
2009
\(p\)-adic spherical coordinates and their applications. Zbl 1187.60039
Kochubei, A. N.
1
2009
Distributed order calculus and equations of ultraslow diffusion. Zbl 1149.26014
Kochubei, Anatoly N.
193
2008
A non-Archimedean wave equation. Zbl 1190.35235
Kochubei, Anatoly N.
19
2008
Distributed-order calculus: An operator-theoretic interpretation. Zbl 1164.26009
Kochubei, A. N.
9
2008
Dwork-Carlitz exponential and overconvergence for additive functions in positive characteristic. Zbl 1160.11033
Kochubei, Anatoly N.
1
2008
Weak solutions of stochastic differential equations over the field of \(p\)-adic numbers. Zbl 1136.60039
Kaneko, Hiroshi; Kochubei, Anatoly N.
14
2007
Hypergeometric functions and Carlitz differential equations over function fields. Zbl 1211.12008
Kochubei, Anatoly N.
2
2007
Evolution equations and functions of hypergeometric type over fields of positive characteristics. Zbl 1197.12004
Kochubei, Anatoly N.
2
2007
Umbral calculus in positive characteristic. Zbl 1062.05020
Kochubei, Anatoly N.
2
2005
Polylogarithms and a zeta function for finite places of a function field. Zbl 1153.11325
Kochubei, Anatoly N.
1
2005
Cauchy problem for fractional diffusion equations. Zbl 1068.35037
Eidelman, Samuil D.; Kochubei, Anatoly N.
257
2004
Analytic methods in the theory of differential and pseudo-differential equations of parabolic type. Zbl 1062.35003
Eidelman, Samuil D.; Ivasyshen, Stepan D.; Kochubei, Anatoly N.
104
2004
Cauchy problem for evolution equations of a fractional order. Zbl 1129.35427
Kochubei, A. N.; Èidelman, S. D.
38
2004
Construction of interaction measures on the space of distributions over the field of \(p\)-adic numbers. Zbl 1098.81060
Kochubei, A. N.; Sait-Ametov, M. R.
1
2004
Interaction measures on the space of distributions over the field of \(p\)-adic numbers. Zbl 1053.81067
Kochubei, Anatoly N.; Sait-Ametov, Mustafa R.
14
2003
Differential equations for \(\mathbb F_q\)-linear functions. II: Regular singularity. Zbl 1081.11075
Kochubei, Anatoly N.
3
2003
Equations of one-dimensional fractal diffusion. Zbl 1037.35117
Kochubeĭ, A. N.; Èĭdel’man, S. D.
3
2003
Hausdorff measure for a stable-like process over an infinite extension of a local field. Zbl 1018.60038
Kochubei, Anatoly N.
7
2002
Pseudo-differential equations and stochastics over non-Archimedean fields. Zbl 0984.11063
Kochubei, Anatoly N.
156
2001
Differential equations for \({\mathbb F}_q\)-linear functions. Zbl 1010.11066
Kochubei, Anatoly N.
6
2000
\(\mathbb{F}_q\)-linear calculus over function fields. Zbl 1029.11019
Kochubei, Anatoly N.
4
1999
Analysis and probability over infinite extensions of a local field. Zbl 1023.60501
Kochubei, Anatoly N.
4
1999
Fundamental solutions of pseudodifferential equations connected with \(p\)-adic quadratic forms. Zbl 0934.35218
Kochubei, A. N.
12
1998
Limit theorems for sums of \(p\)-adic random variables. Zbl 0954.60001
Kochubei, Anatoly N.
8
1998
Harmonic oscillator in characteristic \(p\). Zbl 1036.11520
Kochubei, Anatoly N.
7
1998
Stochastic integrals and stochastic differential equations over the field of \(p\)-adic numbers. Zbl 0874.60047
Kochubei, Anatoly N.
15
1997
Additive and multiplicative fractional differentiations over the field of \(p\)-adic numbers. Zbl 0882.26015
Kochubei, Anatoly N.
4
1997
\(p\)-adic commutation relations. Zbl 0905.46051
Kochubei, Anatoly N.
8
1996
Heat equation in a \(p\)-adic ball. Zbl 0926.60091
Kochubej, Anatolij N.
3
1996
A Schrödinger-type equation over the field of \(p\)-adic numbers. Zbl 0780.35088
Kochubei, Anatolii N.
9
1993
On \(p\)-adic Green’s functions. Zbl 0843.35147
Kochubei, A. N.
5
1993
The differentiation operator on subsets of the field of \(p\)-adic numbers. Zbl 0784.47057
Kochubej, A. N.
1
1992
Parabolic equations over the field of \(p\)-adic numbers. Zbl 0778.35001
Kochubej, A. N.
14
1991
Schrödinger-type operator over \(p\)-adic number field. Zbl 0809.47060
Kochubej, A. N.
7
1991
Parabolic equations on a \(p\)-adic number field. Zbl 0765.35002
Kochubeĭ, A. N.
5
1991
Self-adjoint extensions of a Schrödinger operator with singular potential. Zbl 0737.34061
Kochubej, A. N.
3
1991
Fractional-order diffusion. Zbl 0729.35064
Kochubei, A. N.
114
1990
Diffusion of fractional order. Zbl 0712.35049
Kochubej, A. N.
17
1990
Self-adjoint extensions of Schrödinger operators with singular potentials. Zbl 0725.47006
Kochubei, A. N.
1
1990
A Cauchy problem for evolution equations of fractional order. Zbl 0696.34047
Kochubej, A. N.
69
1989
Parabolic pseudodifferential equations, hypersingular integrals, and Markov processes. Zbl 0682.35113
Kochubej, A. N.
28
1989
Extension theory for symmetric operators and boundary value problems for differential equations. Zbl 0706.47001
Gorbachuk, V. I.; Gorbachuk, M. L.; Kochubej, A. N.
18
1989
One-dimensional point interactions. Zbl 0703.34086
Kochubej, A. N.
9
1989
One-dimensional point interactions. Zbl 0693.34018
Kochubej, A. N.
8
1989
Stabilization of solutions of dissipative hyperbolic equations with almost-periodic coefficients. Zbl 0697.35082
Kochubej, A. N.
1
1987
Stabilization of solutions of dissipative hyperbolic equations. Zbl 0625.35051
Kochubej, A. N.
1
1986
On extensions of a positive-definite symmetric operator. Zbl 0555.47029
Kochubej, A. N.
2
1984
Singular parabolic equations and Markov processes. Zbl 0545.35039
Kochubej, A. N.
1
1984
Elliptic operators with boundary conditions on a subset of measure zero. Zbl 0506.35029
Kochubej, A. N.
10
1982
On characteristic functions of symmetric operators and their extensions. Zbl 0444.47023
Kochubej, A. N.
13
1980
Symmetric operators commuting with a family of unitary operators. Zbl 0459.47019
Kochubej, A. N.
1
1980
Symmetric operators and nonclassical spectral problems. Zbl 0454.47023
Kochubej, A. N.
7
1979
Über Erweiterungen J-symmetrischer Operatoren. Zbl 0424.47025
Kochubej, A. N.
3
1979
On extensions of a positive definite symmetric operator. Zbl 0454.47022
Kochubej, A. N.
2
1979
Über symmetrische Operatoren, die mit einer Familie unitärer Operatoren kommutieren. Zbl 0436.47018
Kochubej, A. N.
1
1979
The extensions of a nondensely defined symmetric operator. Zbl 0409.47014
Kochubej, A. N.
4
1977
On extensions of a nondensely defined symmetric operator. Zbl 0362.47008
Kochubej, A. N.
2
1977
The spectra of self-adjoint extensions of a symmetric operator. Zbl 0333.47012
Kochubej, A. N.
1
1976
Extensions of symmetric operators and symmetric binary relations. Zbl 0322.47006
Kochubej, A. N.
82
1975
On best approximation in normed modules. Zbl 0262.41035
Kochubej, A. N.
2
1973
Dissipative extensions of differential operators in a space of vector- functions. Zbl 0261.47026
Gorbachuk, M. L.; Kochubej, A. N.; Rybak, M. A.
3
1972
all top 5

Cited by 1,388 Authors

37 Kochubeĭ, Anatoliĭ Naumovych
36 Zúñiga-Galindo, Wilson A.
28 Khrennikov, Andreĭ Yur’evich
27 Yamamoto, Masahiro
19 Luchko, Yuri
17 Mainardi, Francesco
15 Lopushans’ka, Galyna Petrovna
15 Zhou, Yong
14 Cuevas, Claudio
14 D’Ovidio, Mirko
14 Fernandez, Arran
14 Zhou, Zhi
13 Albeverio, Sergio A.
13 Beshtokov, Murat Khamidbievich
13 Kian, Yavar
13 Lopushans’kyi, Andriy Olegovich
13 Malamud, Mark M.
13 Nane, Erkan
12 Allahverdiev, Bilender Paşaoğlu
12 Derkach, Volodymyr Oleksandrovych
12 Li, Zhiyuan
12 Lizama, Carlos
12 Shelkovich, Vladimir M.
11 Kozyrev, Sergeĭ Vladimirovich
11 Torresblanca-Badillo, Anselmo
10 Ashurov, Ravshan Rajabovich
10 Bazhlekova, Emilia G.
10 Jin, Bangti
10 Kolokoltsov, Vassili N.
10 Liu, Yikan
10 Mukhamedov, Farruh Maksutovich
10 Tarasov, Vasily E.
10 Zacher, Rico
9 Górska, Katarzyna
9 Kaneko, Hiroshi
9 Kirane, Mokhtar
9 Krasnoshchok, Mykola Valeriĭovych
9 Leonenko, Nikolai N.
9 Liu, Fawang
9 Peng, Jigen
9 Sandev, Trifce
9 Tuna, Hüseyin
9 Vasylyeva, Nataliya V.
8 Chacón-Cortes, Leonardo Fabio
8 Kemppainen, Jukka T.
8 Khushtova, Fatima Gidovna
8 Meerschaert, Mark Marvin
8 Nguyen Huy Tuan
8 Osypchuk, Mykhailo M.
8 Pozo, Juan Carlos
8 Pskhu, Arsen Vladimirovich
8 Toaldo, Bruno
7 Ahmad, Bashir
7 Ansari, Alireza
7 Beghin, Luisa
7 Behrndt, Jussi
7 Bendikov, Alexander D.
7 Bikulov, Al’bert Khakimovich
7 Chen, Pengyu
7 Duong, Dao Van
7 Horzela, Andrzej
7 Kiselev, Alexander V.
7 Kuzhel, Sergei
7 Li, Yongxiang
7 Litovchenko, Vladyslav A.
7 Rezapour, Shahram
7 Sin, Chung-Sik
7 Umarov, Sabir R.
7 Vergara, Vicente
6 Al-Refai, Mohammed
6 Atanackovic, Teodor M.
6 Băleanu, Dumitru I.
6 Casas-Sánchez, Oscar Francisco
6 Chen, Zhen-Qing
6 Cherednichenko, Kirill D.
6 Durdiev, Durdimurod Kalandarovich
6 Fëdorov, Vladimir Evgen’evich
6 Fernández-Anaya, Guillermo
6 Galeano-Peñaloza, Jeanneth
6 Garrappa, Roberto
6 Kulik, Alexey M.
6 Machado, José António Tenreiro
6 Mamchuev, Murat Osmanovich
6 Piskarëv, S. I.
6 Ponce, Rodrigo F.
6 Turner, Ian William
6 Wang, Rongnian
6 Weisbart, David
5 Agarwal, Ravi P.
5 Al-saedi, Ahmed Eid Salem
5 Anh, Vo V.
5 Ascione, Giacomo
5 Baderko, Elena A.
5 Cherepova, M. F.
5 Estala-Arias, Samuel
5 Etemad, Sina
5 Fu, Zunwei
5 Gao, Jinghuai
5 Gorenflo, Rudolf
5 Hassi, Seppo
...and 1,288 more Authors
all top 5

Cited in 306 Serials

97 Fractional Calculus & Applied Analysis
47 Mathematical Methods in the Applied Sciences
41 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
39 Journal of Mathematical Analysis and Applications
34 Journal of Mathematical Sciences (New York)
29 Ukrainian Mathematical Journal
27 Journal of Differential Equations
23 Computers & Mathematics with Applications
23 Journal of Computational and Applied Mathematics
21 Journal of Functional Analysis
20 Communications in Nonlinear Science and Numerical Simulation
20 Advances in Difference Equations
19 Applied Mathematics and Computation
18 Stochastic Processes and their Applications
17 Inverse Problems
17 Computational and Applied Mathematics
14 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
14 Journal of Pseudo-Differential Operators and Applications
14 Carpathian Mathematical Publications
13 Journal of Mathematical Physics
13 Differential Equations
12 Chaos, Solitons and Fractals
12 The Journal of Fourier Analysis and Applications
12 Abstract and Applied Analysis
12 Proceedings of the Steklov Institute of Mathematics
11 Nonlinear Dynamics
11 Vestnik KRAUNTS. Fiziko-Matematicheskie Nauki
10 Journal of Inverse and Ill-Posed Problems
10 Fractional Differential Calculus
9 Mathematische Nachrichten
9 Proceedings of the American Mathematical Society
9 Integral Transforms and Special Functions
9 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
8 Applicable Analysis
8 Reports on Mathematical Physics
8 Integral Equations and Operator Theory
8 Potential Analysis
8 Doklady Mathematics
8 Lobachevskii Journal of Mathematics
8 Journal of Evolution Equations
8 Journal of Physics A: Mathematical and Theoretical
7 Physica A
7 Journal of Theoretical Probability
7 Applied Mathematics Letters
7 Numerical Algorithms
7 Turkish Journal of Mathematics
7 Communications on Pure and Applied Analysis
7 Evolution Equations and Control Theory
6 Mathematical Notes
6 ZAMP. Zeitschrift für angewandte Mathematik und Physik
6 Statistics & Probability Letters
6 Applied Numerical Mathematics
6 Computational Mathematics and Mathematical Physics
6 Applied Mathematical Modelling
6 Infinite Dimensional Analysis, Quantum Probability and Related Topics
6 Discrete and Continuous Dynamical Systems. Series B
6 Journal of Function Spaces
5 Theoretical and Mathematical Physics
5 Journal of Number Theory
5 Mathematics and Computers in Simulation
5 Results in Mathematics
5 Siberian Mathematical Journal
5 Numerical Methods for Partial Differential Equations
5 Theory of Probability and Mathematical Statistics
5 Discrete and Continuous Dynamical Systems
5 Matematychni Studiï
5 Complex Analysis and Operator Theory
5 Inverse Problems and Imaging
5 Discrete and Continuous Dynamical Systems. Series S
4 Journal of Statistical Physics
4 Reviews in Mathematical Physics
4 Advances in Mathematics
4 Functional Analysis and its Applications
4 Mathematische Annalen
4 Publications of the Research Institute for Mathematical Sciences, Kyoto University
4 Tôhoku Mathematical Journal. Second Series
4 Physica D
4 Journal of Scientific Computing
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 SIAM Journal on Applied Mathematics
4 SIAM Journal on Mathematical Analysis
4 Russian Mathematics
4 Filomat
4 Matematychni Metody ta Fizyko-Mekhanichni Polya
4 Journal of Inequalities and Applications
4 Annales Henri Poincaré
4 Stochastics and Dynamics
4 Journal of Applied Mathematics and Computing
4 Ufimskiĭ Matematicheskiĭ Zhurnal
4 Asian Journal of Control
4 Analysis and Mathematical Physics
4 Mathematics
4 Electronic Research Archive
3 Communications in Mathematical Physics
3 The Annals of Probability
3 Monatshefte für Mathematik
3 Semigroup Forum
3 Transactions of the American Mathematical Society
3 Stochastic Analysis and Applications
3 International Journal of Computer Mathematics
...and 206 more Serials
all top 5

Cited in 55 Fields

749 Partial differential equations (35-XX)
323 Operator theory (47-XX)
315 Real functions (26-XX)
271 Ordinary differential equations (34-XX)
246 Probability theory and stochastic processes (60-XX)
161 Numerical analysis (65-XX)
104 Integral equations (45-XX)
88 Number theory (11-XX)
81 Special functions (33-XX)
79 Functional analysis (46-XX)
65 Quantum theory (81-XX)
62 Harmonic analysis on Euclidean spaces (42-XX)
46 Integral transforms, operational calculus (44-XX)
43 Statistical mechanics, structure of matter (82-XX)
33 Systems theory; control (93-XX)
30 Fluid mechanics (76-XX)
25 Dynamical systems and ergodic theory (37-XX)
23 Functions of a complex variable (30-XX)
20 Biology and other natural sciences (92-XX)
19 Abstract harmonic analysis (43-XX)
18 Mechanics of deformable solids (74-XX)
17 Calculus of variations and optimal control; optimization (49-XX)
15 Difference and functional equations (39-XX)
14 Field theory and polynomials (12-XX)
13 Classical thermodynamics, heat transfer (80-XX)
11 Potential theory (31-XX)
10 Measure and integration (28-XX)
10 Global analysis, analysis on manifolds (58-XX)
9 Combinatorics (05-XX)
9 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
7 Associative rings and algebras (16-XX)
7 Approximations and expansions (41-XX)
7 Optics, electromagnetic theory (78-XX)
7 Relativity and gravitational theory (83-XX)
7 Information and communication theory, circuits (94-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
6 Mechanics of particles and systems (70-XX)
5 Group theory and generalizations (20-XX)
5 Computer science (68-XX)
5 Geophysics (86-XX)
4 Commutative algebra (13-XX)
4 Topological groups, Lie groups (22-XX)
4 Statistics (62-XX)
3 General and overarching topics; collections (00-XX)
3 Order, lattices, ordered algebraic structures (06-XX)
3 Several complex variables and analytic spaces (32-XX)
2 Algebraic geometry (14-XX)
2 Sequences, series, summability (40-XX)
1 History and biography (01-XX)
1 Nonassociative rings and algebras (17-XX)
1 Differential geometry (53-XX)
1 General topology (54-XX)
1 Manifolds and cell complexes (57-XX)
1 Astronomy and astrophysics (85-XX)
1 Operations research, mathematical programming (90-XX)

Citations by Year

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