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Kravchenko, Vladislav V.

Author ID: kravchenko.vladislav-v Recent zbMATH articles by "Kravchenko, Vladislav V."
Published as: Kravchenko, Vladislav V.; Kravchenko, V. V.; Kravchenko, Vladislav; Kravchenko, Vladisłav; Kravchenko, V.
Homepage: https://sites.google.com/site/vvkravche/
External Links: MGP
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Serials

27 Mathematical Methods in the Applied Sciences
10 Zeitschrift für Analysis und ihre Anwendungen
9 Journal of Physics A: Mathematical and General
7 Applied Mathematics and Computation
6 Complex Variables and Elliptic Equations
5 Journal of Mathematical Analysis and Applications
5 Journal of Mathematical Physics
5 Advances in Applied Clifford Algebras
4 Journal of Physics A: Mathematical and Theoretical
3 Inverse Problems
3 Journal of Mathematical Sciences (New York)
2 Applicable Analysis
2 Journal of Natural Geometry
2 Journal of Inverse and Ill-Posed Problems
2 Boletín de la Sociedad Matemática Mexicana. Third Series
2 Bulletin de la Société des Sciences et des Lettres de Łódź. Série: Recherches sur les Déformations
2 Complex Analysis and Operator Theory
2 Springer Proceedings in Mathematics & Statistics
2 Frontiers in Mathematics
1 Journal of Engineering Mathematics
1 Mathematical Notes
1 Mekhanika Tverdogo Tela
1 Reports on Mathematical Physics
1 Calcolo
1 Differential Equations
1 Journal of Computational and Applied Mathematics
1 Acta Applicandae Mathematicae
1 Russian Academy of Sciences. Doklady. Mathematics
1 Russian Journal of Mathematical Physics
1 Journal of Difference Equations and Applications
1 Doklady Mathematics
1 International Journal of Theoretical and Applied Finance
1 Lobachevskii Journal of Mathematics
1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal
1 Pitman Research Notes in Mathematics Series
1 Research and Exposition in Mathematics
1 Communications in Mathematical Analysis
1 Inverse Problems and Imaging
1 Advances in Mathematical Physics
1 Trends in Mathematics

Publications by Year

Citations contained in zbMATH Open

107 Publications have been cited 1,005 times in 362 Documents Cited by Year
Integral representations for spatial models of mathematical physics. Zbl 0872.35001
Kravchenko, V. V.; Shapiro, Michael V.
113
1996
Applied pseudoanalytic function theory. Zbl 1182.30002
Kravchenko, Vladislav V.
70
2009
Applied quaternionic analysis. Zbl 1014.78003
Kravchenko, V.
60
2003
Spectral parameter power series for Sturm-Liouville problems. Zbl 1202.34060
Kravchenko, Vladislav V.; Porter, R. Michael
53
2010
A representation for solutions of the Sturm-Liouville equation. Zbl 1183.30052
Kravchenko, Vladislav V.
42
2008
Representation of solutions to the one-dimensional Schrödinger equation in terms of Neumann series of Bessel functions. Zbl 1426.34025
Kravchenko, Vladislav V.; Navarro, Luis J.; Torba, Sergii M.
23
2017
Transmutations, \(L\)-bases and complete families of solutions of the stationary Schrödinger equation in the plane. Zbl 1246.34080
Campos, Hugo M.; Kravchenko, Vladislav V.; Torba, Sergii M.
22
2012
Direct and inverse Sturm-Liouville problems. A method of solution. Zbl 07214198
Kravchenko, Vladislav V.
22
2020
Eigenvalue problems, spectral parameter power series, and modern applications. Zbl 1347.34128
Khmelnytskaya, Kira V.; Kravchenko, Vladislav V.; Rosu, Haret C.
20
2015
Transmutations and spectral parameter power series in eigenvalue problems. Zbl 1347.34130
Kravchenko, Vladislav V.; Torba, Sergii M.
20
2013
Dispersion equation and eigenvalues for quantum wells using spectral parameter power series. Zbl 1316.81023
Castillo-Pérez, Raúl; Kravchenko, Vladislav V.; Oviedo-Galdeano, Héctor; Rabinovich, Vladimir S.
18
2011
Spectral parameter power series for fourth-order Sturm-Liouville problems. Zbl 1311.34026
Khmelnytskaya, Kira V.; Kravchenko, Vladislav V.; Baldenebro-Obeso, Jesús A.
18
2012
Transmutations for Darboux transformed operators with applications. Zbl 1241.81065
Kravchenko, Vladislav V.; Torba, Sergii M.
17
2012
Helmholtz operator with a quaternionic wave number and associated function theory. II: Integral representations. Zbl 0790.30039
Kravchenko, V. V.; Shapiro, M. V.
17
1993
On a relation of pseudoanalytic function theory to the two-dimensional stationary Schrödinger equation and Taylor series in formal powers for its solutions. Zbl 1067.81032
Kravchenko, Vladislav V.
16
2005
Analytic approximation of transmutation operators and applications to highly accurate solution of spectral problems. Zbl 1337.65099
Kravchenko, Vladislav V.; Torba, Sergii M.
16
2015
On a factorization of second-order elliptic operators and applications. Zbl 1106.30028
Kravchenko, Vladislav V.
15
2006
Spectral parameter power series for perturbed Bessel equations. Zbl 1329.34021
Castillo-Pérez, Raúl; Kravchenko, Vladislav V.; Torba, Sergii M.
15
2013
Construction of transmutation operators and hyperbolic pseudoanalytic functions. Zbl 1308.30055
Kravchenko, Vladislav V.; Torba, Sergii M.
14
2015
Complete families of solutions for the Dirac equation using bicomplex function theory and transmutations. Zbl 1257.30051
Campos, Hugo M.; Kravchenko, Vladislav V.; Méndez, Luis M.
13
2012
Wave polynomials, transmutations and Cauchy’s problem for the Klein-Gordon equation. Zbl 1256.35009
Khmelnytskaya, Kira V.; Kravchenko, Vladislav V.; Torba, Sergii M.; Tremblay, Sébastien
13
2013
A Neumann series of Bessel functions representation for solutions of Sturm-Liouville equations. Zbl 1391.34060
Kravchenko, Vladislav V.; Torba, Sergii M.
13
2018
On a quaternionic Maxwell equation for the time-dependent electromagnetic field in a chiral medium. Zbl 1047.78003
Grudsky, Sergei M.; Khmelnytskaya, Kira V.; Kravchenko, Vladislav V.
13
2004
On a biquaternionic bag model. Zbl 0814.35025
Kravchenko, V. V.
12
1995
Quaternionic time-harmonic Maxwell operator. Zbl 0869.35099
Kravchenko, Vladislav V.; Shapiro, Michael V.
12
1995
Dispersion equation and eigenvalues for the Zakharov-Shabat system using spectral parameter power series. Zbl 1317.35237
Kravchenko, Vladislav V.; Velasco-García, Ulises
12
2011
A Neumann series of Bessel functions representation for solutions of perturbed Bessel equations. Zbl 1395.34016
Kravchenko, Vladislav V.; Torba, Sergii M.; Castillo-Pérez, Raúl
12
2018
Liouville transformation, analytic approximation of transmutation operators and solution of spectral problems. Zbl 1410.34071
Kravchenko, Vladislav V.; Morelos, Samy; Torba, Sergii M.
12
2016
Quaternionic factorization of the Schrödinger operator and its applications to some first-order systems of mathematical physics. Zbl 1047.81023
Kravchenko, Viktor G.; Kravchenko, Vladislav V.
12
2003
Complete systems of recursive integrals and Taylor series for solutions of Sturm – Liouville equations. Zbl 1243.34011
Kravchenko, Vladislav V.; Morelos, Samy; Tremblay, Sébastien
11
2012
Fundamentals of bicomplex pseudoanalytic function theory: Cauchy integral formulas, negative formal powers and Schrödinger equations with complex coefficients. Zbl 1323.30067
Campos, Hugo M.; Kravchenko, Vladislav V.
11
2013
On the Klein-Gordon equation and hyperbolic pseudoanalytic function theory. Zbl 1139.81027
Kravchenko, V. V.; Rochon, D.; Tremblay, S.
11
2008
Solution of boundary and eigenvalue problems for second-order elliptic operators in the plane using pseudoanalytic formal powers. Zbl 1210.35054
Castillo Pérez, Raúl; Kravchenko, Vladislav V.; Reséndiz Vázquez, Rabindranath
10
2011
Modified spectral parameter power series representations for solutions of Sturm-Liouville equations and their applications. Zbl 1334.34026
Kravchenko, Vladislav V.; Torba, Sergii M.
10
2014
On a method for solving the inverse Sturm-Liouville problem. Zbl 1434.34026
Kravchenko, Vladislav V.
9
2019
New applications of pseudoanalytic function theory to the Dirac equation. Zbl 1081.81031
Castañeda, Antonio; Kravchenko, Vladislav V.
9
2005
On the reduction of the multidimensional stationary Schrödinger equation to a first-order equation and its relation to the pseudoanalytic function theory. Zbl 1092.81015
Kravchenko, Vladislav V.
8
2005
On the relationship between \(p\)-analytic functions and Schrödinger equation. Zbl 1100.30040
Kravchenko, Vladislav V.
7
2005
Conformal mapping of right circular quadrilaterals. Zbl 1220.30008
Kravchenko, Vladislav V.; Porter, R. Michael
7
2011
On a method for solving the inverse scattering problem on the line. Zbl 1414.34068
Kravchenko, Vladislav V.
7
2019
Construction and application of Bergman-type reproducing kernels for boundary and eigenvalue problems in the plane. Zbl 1264.30035
Campos, Hugo M.; Castillo-Pérez, Raúl; Kravchenko, Vladislav V.
7
2012
Spectral parameter power series analysis of isotropic planarly layered waveguides. Zbl 1291.78062
Barrera-Figueroa, Víctor; Kravchenko, Vladislav V.; Rabinovich, Vladimir S.
7
2014
Quaternionic reformulation of Maxwell equations for inhomogeneous media and new solutions. Zbl 0999.30033
Kravchenko, V. V.
7
2002
On the completeness of systems of recursive integrals. Zbl 1221.46013
Kravchenko, Vladislav V.
7
2011
Helmholtz operator with a quaternionic wave number and associated function theory. Zbl 0831.30030
Kravchenko, V. V.; Shapiro, M. V.
6
1994
Spectral parameter power series for Sturm-Liouville equations with a potential polynomially dependent on the spectral parameter and Zakharov-Shabat systems. Zbl 1328.34024
Kravchenko, Vladislav V.; Torba, Sergii M.; Velasco-García, Ulises
6
2015
A finite-sum representation for solutions for the Jacobi operator. Zbl 1220.39002
Campos, Hugo M.; Kravchenko, Vladislav V.
6
2011
Analytic approximation of transmutation operators and related systems of functions. Zbl 1369.34105
Kravchenko, Vladislav V.; Torba, Sergii M.
6
2016
Quaternionic fundamental solutions for electromagnetic scattering problems and application. Zbl 1076.30052
Khmelnytskaya, K. V.; Kravchenko, V. V.; Rabinovich, V. S.
6
2003
On the kernel of the Klein-Gordon operator. Zbl 0903.35056
Kravchenko, V. V.; Castillo P., R.
6
1998
On the solution of the static Maxwell system in axially symmetric inhomogeneous media. Zbl 1184.30039
Khmelnytskaya, Kira V.; Kravchenko, Vladislav V.; Oviedo, Héctor
6
2010
Biquaternionic integral representations for massive Dirac spinors in a magnetic field and generalized biquaternionic differentiability. Zbl 1075.35546
Kravchenko, Vladislav V.; Malonek, Helmuth R.; Santana, Gustavo
5
1996
Recent developments in applied pseudoanalytic function theory. Zbl 1232.30031
Kravchenko, Vladislav V.
5
2008
On a series representation for integral kernels of transmutation operators for perturbed Bessel equations. Zbl 1483.34046
Kravchenko, V. V.; Shishkina, E. L.; Torba, S. M.
5
2018
On the Dirac operator with an electromagnetic potential. Zbl 0921.35144
Kravchenko, V. V.
5
1998
On a quaternionic reformulation of Maxwell’s equations for chiral media and its applications. Zbl 1060.30063
Kravchenko, V. V.; Oviedo, H.
5
2003
Time-dependent electromagnetic fields in chiral media. Zbl 1203.78008
Kravchenko, Vladislav V.; Oviedo, Héctor
5
2010
Generalized wave polynomials and transmutations related to perturbed Bessel equations. Zbl 1491.34044
Kravchenko, Vladislav V.; Torba, Sergii M.; Santana-Bejarano, Jessica Yu.
5
2019
Transmutation operators and applications. Zbl 1443.34001
5
2020
Exact solutions of the Dirac equation with harmonic pseudoscalar, scalar or electric potential. Zbl 0931.35141
Kravchenko, Vladislav V.
4
1998
Modulated electromagnetic fields in inhomogeneous media, hyperbolic pseudoanalytic functions, and transmutations. Zbl 1345.78004
Khmelnytskaya, Kira V.; Kravchenko, Vladislav V.; Torba, Sergii M.
4
2016
On force free magnetic fields. Quaternionic approach. Zbl 1141.76480
Kravchenko, Vladislav V.
4
2005
Analytic approximation of solutions of parabolic partial differential equations with variable coefficients. Zbl 1453.35108
Kravchenko, Vladislav V.; Otero, Josafath A.; Torba, Sergii M.
4
2017
Applied quaternionic analysis. Maxwell’s system and Dirac’s equation. Zbl 1027.30070
Kravchenko, V. V.
4
2001
On a new approach for solving Dirac equations with some potentials and Maxwell’s system in inhomogeneous media. Zbl 1006.30030
Kravchenko, Vladislav V.
4
2001
Zakharov-Shabat system and hyperbolic pseudoanalytic function theory. Zbl 1196.30043
Kravchenko, Viktor G.; Kravchenko, Vladislav V.; Tremblay, Sébastien
4
2010
Solution of parabolic free boundary problems using transmuted heat polynomials. Zbl 1423.35466
Kravchenko, Igor V.; Kravchenko, Vladislav V.; Torba, Sergii M.
4
2019
A direct method for solving inverse Sturm-Liouville problems. Zbl 07305940
Kravchenko, Vladislav V.; Torba, Sergii M.
4
2021
The transmutation operator method for efficient solution of the inverse Sturm-Liouville problem on a half-line. Zbl 1431.65119
Delgado, Briceyda B.; Khmelnytskaya, Kira V.; Kravchenko, Vladislav V.
4
2019
Transmutation operators and a new representation for solutions of perturbed Bessel equations. Zbl 1478.34095
Kravchenko, Vladislav V.; Torba, Sergii M.
3
2021
A right inverse operator for \(\operatorname{curl}+\lambda \) and applications. Zbl 1418.30047
Delgado, Briceyda B.; Kravchenko, Vladislav V.
3
2019
Construction of a transmutation for the one-dimensional Schrödinger operator and a representation for solutions. Zbl 1427.34023
Kravchenko, Vladislav V.
3
2018
On some nonlinear equations generated by Fueter type operators. Zbl 0809.35054
Kravchenko, V. G.; Kravchenko, V. V.
3
1994
Spatial pseudoanalytic functions arising from the factorization of linear second order elliptic operators. Zbl 1242.30039
Kravchenko, Vladislav V.; Tremblay, Sébastien
3
2011
A representation of the transmutation kernels for the Schrödinger operator in terms of eigenfunctions and applications. Zbl 1428.34134
Khmelnytskaya, Kira V.; Kravchenko, Vladislav V.; Torba, Sergii M.
3
2019
On Beltrami fields with nonconstant proportionality factor. Zbl 1039.35027
Kravchenko, Vladislav V.
3
2003
On explicitly solvable Vekua equations and explicit solution of the stationary Schrödinger equation and of the equation div(\(\sigma\nabla u)=0\). Zbl 1122.30029
Kravchenko, Vladislav V.; Oviedo, Héctor
3
2007
Explicit solutions of generalized Cauchy-Riemann systems using the transplant operator. Zbl 1194.30052
Kravchenko, Vladislav V.; Tremblay, Sébastien
3
2010
On a factorization of the Schrödinger and Klein-Gordon operators. Zbl 1165.35339
Cerejeiras, Paula; Kähler, Uwe; Kravchenko, Vladislav V.
3
2008
On a transplant operator and explicit construction of Cauchy-type integral representations for \(p\)-analytic functions. Zbl 1135.30020
Kravchenko, Vladislav V.
3
2008
Method for solving inverse spectral problems on quantum star graphs. Zbl 1519.34015
Avdonin, Sergei A.; Kravchenko, Vladislav V.
3
2023
On a quaternionic reformulation of the Dirac equation and its relationship with Maxwell’s system. Zbl 1101.81051
Kravchenko, Vladislav; Ramírez Tachiquin, Marco P.
2
2003
On integral representations and boundary properties of spinor fields. Zbl 0860.35105
Kravchenko, V. V.; Ramírez de Arellano, Enrique; Shapiro, Michael V.
2
1996
A practical method for recovering Sturm-Liouville problems from the Weyl function. Zbl 07357685
Kravchenko, Vladislav V.; Torba, Sergii M.
2
2021
Generalized holomorphic vectors and \(\alpha\)-hyperholomorphic function theory. Zbl 0806.30028
Kravchenko, V. V.
2
1994
On Bers generating functions for first order systems of mathematical physics. Zbl 1244.30071
Kravchenko, Vladislav V.; Ramirez T., Marco P.
2
2011
A representation for Jost solutions and an efficient method for solving the spectral problem on the half line. Zbl 1460.34105
Delgado, Briceyda B.; Khmelnytskaya, Kira V.; Kravchenko, Vladislav V.
2
2020
A transmutation operator method for solving the inverse quantum scattering problem. Zbl 1471.34162
Kravchenko, Vladislav V.; Shishkina, Elina L.; Torba, Sergii M.
2
2020
New exact solutions of the massive Dirac equation with electric or scalar potential. Zbl 1032.81511
Kravchenko, Vladislav V.; Ramirez T., Marco P.
2
2000
An analogue of the Sommerfeld radiation condition for the Dirac operator. Zbl 1058.30047
Kravchenko, Vladislav V.; Castillo P., Raúl
2
2002
A quaternionic generalization of the Riccati differential equation. Zbl 1038.30021
Kravchenko, Viktor; Kravchenko, Vladisłav; Williams, Benjamin
2
2001
A new method for obtaining solutions of the Dirac equation. Zbl 0977.30029
Kravchenko, V. V.
2
2000
A new approach for describing electromagnetic wave propagation in inhomogeneous media. Zbl 1030.30040
Kravchenko, V. V.
2
2000
On the two-dimensional stationary Schrödinger equation with a singular potential. Zbl 1210.35043
Kravchenko, Vladislav V.; Meziani, Abdelhamid
2
2011
On a complex differential Riccati equation. Zbl 1134.30038
Khmelnytskaya, Kira V.; Kravchenko, Vladislav V.
2
2008
Quaternion-valued integral representations of the harmonic electromagnetic and spinor fields. Zbl 0945.30037
Kravchenko, V. V.
1
1995
Direct sum expansion of the kernel of the Laplace operator with the aid of biquaternion zero divisors. Zbl 0856.47029
Kravchenko, V. V.
1
1995
The phase retrieval problem: a spectral parameter power series approach. Zbl 1359.78011
Barrera-Figueroa, Víctor; Blancarte, Herminio; Kravchenko, Vladislav V.
1
2014
Biquaternions for analytic and numerical solution of equations of electrodynamics. Zbl 1232.35162
Khmelnytskaya, Kira V.; Kravchenko, Vladislav V.
1
2008
Electromagnetic fields in dispersive chiral media generated by modulated nonuniformly moving sources. Zbl 1276.78005
Kravchenko, V. V.; Oviedo-Galdeano, H.; Rabinovich, V. S.
1
2013
Method for solving inverse spectral problems on quantum star graphs. Zbl 1519.34015
Avdonin, Sergei A.; Kravchenko, Vladislav V.
3
2023
Biquaternionic treatment of inhomogeneous time-harmonic Maxwell’s equations over unbounded domains. Zbl 1516.35397
Delgado, Briceyda B.; Kravchenko, Vladislav V.
1
2023
Runge property and approximation by complete systems of solutions for strongly elliptic equations. Zbl 1484.35018
Kravchenko, Vladislav V.; Vicente-Benítez, Víctor A.
1
2022
A direct method for solving inverse Sturm-Liouville problems. Zbl 07305940
Kravchenko, Vladislav V.; Torba, Sergii M.
4
2021
Transmutation operators and a new representation for solutions of perturbed Bessel equations. Zbl 1478.34095
Kravchenko, Vladislav V.; Torba, Sergii M.
3
2021
A practical method for recovering Sturm-Liouville problems from the Weyl function. Zbl 07357685
Kravchenko, Vladislav V.; Torba, Sergii M.
2
2021
Complete systems of Beltrami fields using complex quaternions and transmutation theory. Zbl 1464.35004
Kravchenko, Vladislav V.; Moreira, Pablo E.; Porter, R. Michael
1
2021
Direct and inverse Sturm-Liouville problems. A method of solution. Zbl 07214198
Kravchenko, Vladislav V.
22
2020
Transmutation operators and applications. Zbl 1443.34001
5
2020
A representation for Jost solutions and an efficient method for solving the spectral problem on the half line. Zbl 1460.34105
Delgado, Briceyda B.; Khmelnytskaya, Kira V.; Kravchenko, Vladislav V.
2
2020
A transmutation operator method for solving the inverse quantum scattering problem. Zbl 1471.34162
Kravchenko, Vladislav V.; Shishkina, Elina L.; Torba, Sergii M.
2
2020
Some recent developments in the transmutation operator approach. Zbl 1501.47080
Kravchenko, Vladislav V.; Sitnik, Sergei M.
1
2020
Transmutation operators and complete systems of solutions for the radial Schrödinger equation. Zbl 1454.35074
Kravchenko, Vladislav V.; Vicente-Benítez, Víctor A.
1
2020
On a method for solving the inverse Sturm-Liouville problem. Zbl 1434.34026
Kravchenko, Vladislav V.
9
2019
On a method for solving the inverse scattering problem on the line. Zbl 1414.34068
Kravchenko, Vladislav V.
7
2019
Generalized wave polynomials and transmutations related to perturbed Bessel equations. Zbl 1491.34044
Kravchenko, Vladislav V.; Torba, Sergii M.; Santana-Bejarano, Jessica Yu.
5
2019
Solution of parabolic free boundary problems using transmuted heat polynomials. Zbl 1423.35466
Kravchenko, Igor V.; Kravchenko, Vladislav V.; Torba, Sergii M.
4
2019
The transmutation operator method for efficient solution of the inverse Sturm-Liouville problem on a half-line. Zbl 1431.65119
Delgado, Briceyda B.; Khmelnytskaya, Kira V.; Kravchenko, Vladislav V.
4
2019
A right inverse operator for \(\operatorname{curl}+\lambda \) and applications. Zbl 1418.30047
Delgado, Briceyda B.; Kravchenko, Vladislav V.
3
2019
A representation of the transmutation kernels for the Schrödinger operator in terms of eigenfunctions and applications. Zbl 1428.34134
Khmelnytskaya, Kira V.; Kravchenko, Vladislav V.; Torba, Sergii M.
3
2019
Spectral parameter power series for arbitrary order linear differential equations. Zbl 1431.35001
Kravchenko, Vladislav V.; Porter, R. Michael; Torba, Sergii M.
1
2019
Pricing double barrier options on homogeneous diffusions: a Neumann series of Bessel functions representation. Zbl 1426.91269
Kravchenko, Igor V.; Kravchenko, Vladislav V.; Torba, Sergii M.; Dias, José Carlos
1
2019
A Neumann series of Bessel functions representation for solutions of Sturm-Liouville equations. Zbl 1391.34060
Kravchenko, Vladislav V.; Torba, Sergii M.
13
2018
A Neumann series of Bessel functions representation for solutions of perturbed Bessel equations. Zbl 1395.34016
Kravchenko, Vladislav V.; Torba, Sergii M.; Castillo-Pérez, Raúl
12
2018
On a series representation for integral kernels of transmutation operators for perturbed Bessel equations. Zbl 1483.34046
Kravchenko, V. V.; Shishkina, E. L.; Torba, S. M.
5
2018
Construction of a transmutation for the one-dimensional Schrödinger operator and a representation for solutions. Zbl 1427.34023
Kravchenko, Vladislav V.
3
2018
Representation of solutions to the one-dimensional Schrödinger equation in terms of Neumann series of Bessel functions. Zbl 1426.34025
Kravchenko, Vladislav V.; Navarro, Luis J.; Torba, Sergii M.
23
2017
Analytic approximation of solutions of parabolic partial differential equations with variable coefficients. Zbl 1453.35108
Kravchenko, Vladislav V.; Otero, Josafath A.; Torba, Sergii M.
4
2017
Liouville transformation, analytic approximation of transmutation operators and solution of spectral problems. Zbl 1410.34071
Kravchenko, Vladislav V.; Morelos, Samy; Torba, Sergii M.
12
2016
Analytic approximation of transmutation operators and related systems of functions. Zbl 1369.34105
Kravchenko, Vladislav V.; Torba, Sergii M.
6
2016
Modulated electromagnetic fields in inhomogeneous media, hyperbolic pseudoanalytic functions, and transmutations. Zbl 1345.78004
Khmelnytskaya, Kira V.; Kravchenko, Vladislav V.; Torba, Sergii M.
4
2016
Eigenvalue problems, spectral parameter power series, and modern applications. Zbl 1347.34128
Khmelnytskaya, Kira V.; Kravchenko, Vladislav V.; Rosu, Haret C.
20
2015
Analytic approximation of transmutation operators and applications to highly accurate solution of spectral problems. Zbl 1337.65099
Kravchenko, Vladislav V.; Torba, Sergii M.
16
2015
Construction of transmutation operators and hyperbolic pseudoanalytic functions. Zbl 1308.30055
Kravchenko, Vladislav V.; Torba, Sergii M.
14
2015
Spectral parameter power series for Sturm-Liouville equations with a potential polynomially dependent on the spectral parameter and Zakharov-Shabat systems. Zbl 1328.34024
Kravchenko, Vladislav V.; Torba, Sergii M.; Velasco-García, Ulises
6
2015
Modified spectral parameter power series representations for solutions of Sturm-Liouville equations and their applications. Zbl 1334.34026
Kravchenko, Vladislav V.; Torba, Sergii M.
10
2014
Spectral parameter power series analysis of isotropic planarly layered waveguides. Zbl 1291.78062
Barrera-Figueroa, Víctor; Kravchenko, Vladislav V.; Rabinovich, Vladimir S.
7
2014
The phase retrieval problem: a spectral parameter power series approach. Zbl 1359.78011
Barrera-Figueroa, Víctor; Blancarte, Herminio; Kravchenko, Vladislav V.
1
2014
Transmutations and spectral parameter power series in eigenvalue problems. Zbl 1347.34130
Kravchenko, Vladislav V.; Torba, Sergii M.
20
2013
Spectral parameter power series for perturbed Bessel equations. Zbl 1329.34021
Castillo-Pérez, Raúl; Kravchenko, Vladislav V.; Torba, Sergii M.
15
2013
Wave polynomials, transmutations and Cauchy’s problem for the Klein-Gordon equation. Zbl 1256.35009
Khmelnytskaya, Kira V.; Kravchenko, Vladislav V.; Torba, Sergii M.; Tremblay, Sébastien
13
2013
Fundamentals of bicomplex pseudoanalytic function theory: Cauchy integral formulas, negative formal powers and Schrödinger equations with complex coefficients. Zbl 1323.30067
Campos, Hugo M.; Kravchenko, Vladislav V.
11
2013
Electromagnetic fields in dispersive chiral media generated by modulated nonuniformly moving sources. Zbl 1276.78005
Kravchenko, V. V.; Oviedo-Galdeano, H.; Rabinovich, V. S.
1
2013
Transmutations, \(L\)-bases and complete families of solutions of the stationary Schrödinger equation in the plane. Zbl 1246.34080
Campos, Hugo M.; Kravchenko, Vladislav V.; Torba, Sergii M.
22
2012
Spectral parameter power series for fourth-order Sturm-Liouville problems. Zbl 1311.34026
Khmelnytskaya, Kira V.; Kravchenko, Vladislav V.; Baldenebro-Obeso, Jesús A.
18
2012
Transmutations for Darboux transformed operators with applications. Zbl 1241.81065
Kravchenko, Vladislav V.; Torba, Sergii M.
17
2012
Complete families of solutions for the Dirac equation using bicomplex function theory and transmutations. Zbl 1257.30051
Campos, Hugo M.; Kravchenko, Vladislav V.; Méndez, Luis M.
13
2012
Complete systems of recursive integrals and Taylor series for solutions of Sturm – Liouville equations. Zbl 1243.34011
Kravchenko, Vladislav V.; Morelos, Samy; Tremblay, Sébastien
11
2012
Construction and application of Bergman-type reproducing kernels for boundary and eigenvalue problems in the plane. Zbl 1264.30035
Campos, Hugo M.; Castillo-Pérez, Raúl; Kravchenko, Vladislav V.
7
2012
Dispersion equation and eigenvalues for quantum wells using spectral parameter power series. Zbl 1316.81023
Castillo-Pérez, Raúl; Kravchenko, Vladislav V.; Oviedo-Galdeano, Héctor; Rabinovich, Vladimir S.
18
2011
Dispersion equation and eigenvalues for the Zakharov-Shabat system using spectral parameter power series. Zbl 1317.35237
Kravchenko, Vladislav V.; Velasco-García, Ulises
12
2011
Solution of boundary and eigenvalue problems for second-order elliptic operators in the plane using pseudoanalytic formal powers. Zbl 1210.35054
Castillo Pérez, Raúl; Kravchenko, Vladislav V.; Reséndiz Vázquez, Rabindranath
10
2011
Conformal mapping of right circular quadrilaterals. Zbl 1220.30008
Kravchenko, Vladislav V.; Porter, R. Michael
7
2011
On the completeness of systems of recursive integrals. Zbl 1221.46013
Kravchenko, Vladislav V.
7
2011
A finite-sum representation for solutions for the Jacobi operator. Zbl 1220.39002
Campos, Hugo M.; Kravchenko, Vladislav V.
6
2011
Spatial pseudoanalytic functions arising from the factorization of linear second order elliptic operators. Zbl 1242.30039
Kravchenko, Vladislav V.; Tremblay, Sébastien
3
2011
On Bers generating functions for first order systems of mathematical physics. Zbl 1244.30071
Kravchenko, Vladislav V.; Ramirez T., Marco P.
2
2011
On the two-dimensional stationary Schrödinger equation with a singular potential. Zbl 1210.35043
Kravchenko, Vladislav V.; Meziani, Abdelhamid
2
2011
Spectral parameter power series for Sturm-Liouville problems. Zbl 1202.34060
Kravchenko, Vladislav V.; Porter, R. Michael
53
2010
On the solution of the static Maxwell system in axially symmetric inhomogeneous media. Zbl 1184.30039
Khmelnytskaya, Kira V.; Kravchenko, Vladislav V.; Oviedo, Héctor
6
2010
Time-dependent electromagnetic fields in chiral media. Zbl 1203.78008
Kravchenko, Vladislav V.; Oviedo, Héctor
5
2010
Zakharov-Shabat system and hyperbolic pseudoanalytic function theory. Zbl 1196.30043
Kravchenko, Viktor G.; Kravchenko, Vladislav V.; Tremblay, Sébastien
4
2010
Explicit solutions of generalized Cauchy-Riemann systems using the transplant operator. Zbl 1194.30052
Kravchenko, Vladislav V.; Tremblay, Sébastien
3
2010
Applied pseudoanalytic function theory. Zbl 1182.30002
Kravchenko, Vladislav V.
70
2009
A representation for solutions of the Sturm-Liouville equation. Zbl 1183.30052
Kravchenko, Vladislav V.
42
2008
On the Klein-Gordon equation and hyperbolic pseudoanalytic function theory. Zbl 1139.81027
Kravchenko, V. V.; Rochon, D.; Tremblay, S.
11
2008
Recent developments in applied pseudoanalytic function theory. Zbl 1232.30031
Kravchenko, Vladislav V.
5
2008
On a factorization of the Schrödinger and Klein-Gordon operators. Zbl 1165.35339
Cerejeiras, Paula; Kähler, Uwe; Kravchenko, Vladislav V.
3
2008
On a transplant operator and explicit construction of Cauchy-type integral representations for \(p\)-analytic functions. Zbl 1135.30020
Kravchenko, Vladislav V.
3
2008
On a complex differential Riccati equation. Zbl 1134.30038
Khmelnytskaya, Kira V.; Kravchenko, Vladislav V.
2
2008
Biquaternions for analytic and numerical solution of equations of electrodynamics. Zbl 1232.35162
Khmelnytskaya, Kira V.; Kravchenko, Vladislav V.
1
2008
On explicitly solvable Vekua equations and explicit solution of the stationary Schrödinger equation and of the equation div(\(\sigma\nabla u)=0\). Zbl 1122.30029
Kravchenko, Vladislav V.; Oviedo, Héctor
3
2007
On a factorization of second-order elliptic operators and applications. Zbl 1106.30028
Kravchenko, Vladislav V.
15
2006
On a relation of pseudoanalytic function theory to the two-dimensional stationary Schrödinger equation and Taylor series in formal powers for its solutions. Zbl 1067.81032
Kravchenko, Vladislav V.
16
2005
New applications of pseudoanalytic function theory to the Dirac equation. Zbl 1081.81031
Castañeda, Antonio; Kravchenko, Vladislav V.
9
2005
On the reduction of the multidimensional stationary Schrödinger equation to a first-order equation and its relation to the pseudoanalytic function theory. Zbl 1092.81015
Kravchenko, Vladislav V.
8
2005
On the relationship between \(p\)-analytic functions and Schrödinger equation. Zbl 1100.30040
Kravchenko, Vladislav V.
7
2005
On force free magnetic fields. Quaternionic approach. Zbl 1141.76480
Kravchenko, Vladislav V.
4
2005
On a quaternionic Maxwell equation for the time-dependent electromagnetic field in a chiral medium. Zbl 1047.78003
Grudsky, Sergei M.; Khmelnytskaya, Kira V.; Kravchenko, Vladislav V.
13
2004
Applied quaternionic analysis. Zbl 1014.78003
Kravchenko, V.
60
2003
Quaternionic factorization of the Schrödinger operator and its applications to some first-order systems of mathematical physics. Zbl 1047.81023
Kravchenko, Viktor G.; Kravchenko, Vladislav V.
12
2003
Quaternionic fundamental solutions for electromagnetic scattering problems and application. Zbl 1076.30052
Khmelnytskaya, K. V.; Kravchenko, V. V.; Rabinovich, V. S.
6
2003
On a quaternionic reformulation of Maxwell’s equations for chiral media and its applications. Zbl 1060.30063
Kravchenko, V. V.; Oviedo, H.
5
2003
On Beltrami fields with nonconstant proportionality factor. Zbl 1039.35027
Kravchenko, Vladislav V.
3
2003
On a quaternionic reformulation of the Dirac equation and its relationship with Maxwell’s system. Zbl 1101.81051
Kravchenko, Vladislav; Ramírez Tachiquin, Marco P.
2
2003
Quaternionic reformulation of Maxwell equations for inhomogeneous media and new solutions. Zbl 0999.30033
Kravchenko, V. V.
7
2002
An analogue of the Sommerfeld radiation condition for the Dirac operator. Zbl 1058.30047
Kravchenko, Vladislav V.; Castillo P., Raúl
2
2002
Applied quaternionic analysis. Maxwell’s system and Dirac’s equation. Zbl 1027.30070
Kravchenko, V. V.
4
2001
On a new approach for solving Dirac equations with some potentials and Maxwell’s system in inhomogeneous media. Zbl 1006.30030
Kravchenko, Vladislav V.
4
2001
A quaternionic generalization of the Riccati differential equation. Zbl 1038.30021
Kravchenko, Viktor; Kravchenko, Vladisłav; Williams, Benjamin
2
2001
New exact solutions of the massive Dirac equation with electric or scalar potential. Zbl 1032.81511
Kravchenko, Vladislav V.; Ramirez T., Marco P.
2
2000
A new method for obtaining solutions of the Dirac equation. Zbl 0977.30029
Kravchenko, V. V.
2
2000
A new approach for describing electromagnetic wave propagation in inhomogeneous media. Zbl 1030.30040
Kravchenko, V. V.
2
2000
On the kernel of the Klein-Gordon operator. Zbl 0903.35056
Kravchenko, V. V.; Castillo P., R.
6
1998
On the Dirac operator with an electromagnetic potential. Zbl 0921.35144
Kravchenko, V. V.
5
1998
Exact solutions of the Dirac equation with harmonic pseudoscalar, scalar or electric potential. Zbl 0931.35141
Kravchenko, Vladislav V.
4
1998
Integral representations for spatial models of mathematical physics. Zbl 0872.35001
Kravchenko, V. V.; Shapiro, Michael V.
113
1996
Biquaternionic integral representations for massive Dirac spinors in a magnetic field and generalized biquaternionic differentiability. Zbl 1075.35546
Kravchenko, Vladislav V.; Malonek, Helmuth R.; Santana, Gustavo
5
1996
On integral representations and boundary properties of spinor fields. Zbl 0860.35105
Kravchenko, V. V.; Ramírez de Arellano, Enrique; Shapiro, Michael V.
2
1996
On a biquaternionic bag model. Zbl 0814.35025
Kravchenko, V. V.
12
1995
...and 7 more Documents
all top 5

Cited by 305 Authors

69 Kravchenko, Vladislav V.
31 Bory Reyes, Juan
27 Torba, Sergii M.
23 Abreu-Blaya, Ricardo
17 Shapiro, Michael V.
15 Morais, João Pedro
14 Khmelnytskaya, Kira V.
14 Pérez-de La Rosa, Marco Antonio
14 Rabinovich, Vladimir Samuilovich
13 Kraußhar, Rolf Sören
13 Schneider, Baruch
12 Porter, R. Michael
9 Barrera-Figueroa, Victor
8 Sitnik, Sergei Mihailovich
7 Constales, Denis
7 Delgado, Briceyda B.
7 Gürlebeck, Klaus
7 Kähler, Uwe
7 Tremblay, Sébastien
6 Campos, Hugo M.
6 Castillo Pérez, Raúl
6 Luna-Elizarrarás, María Elena
6 Rodríguez-Dagnino, Ramón Martín
5 Kou, Kit-Ian
5 Malonek, Helmuth Robert
5 Struppa, Daniele Carlo
4 Bernstein, Swanhild
4 Brackx, Fred F.
4 De Schepper, Hennie
4 Kisil, Vladimir V.
4 Oviedo, Héctor
4 Shpakivskyi, Vitalii Stanislavovich
4 Vicente-Benítez, Víctor A.
4 Wang, Liping
3 Avdonin, Sergeĭ Anatol’evich
3 Ávila-Ávila, Rafael
3 Bondarenko, Natalia P.
3 Boumenir, Amin A.
3 Brown, Philip R.
3 Cação, Isabel
3 Dinh, Doan Cong
3 El-Gamel, Mohamed
3 Gentili, Graziano
3 Giorgadze, Grigory
3 González-Cervantes, José Óscar
3 Grob, Dennis
3 Gu, Longfei
3 Kansu, Mustafa Emre
3 Leblond, Juliette
3 Makovetsky, Viktor I.
3 Peña Pérez, Yudier
3 Perotti, Alessandro
3 Rosu, Haret C.
3 Sabadini, Irene
3 Shishkina, Elina Leonidovna
3 Skoromnik, Oksana V.
3 Sommen, Franciscus
3 Sprößig, Wolfgang
3 Stoppato, Caterina
3 Weng, Zi-Hua
3 Xu, Tianzhou
3 Yang, Pei
3 Yang, Zhanpeng
2 Adán, Alí Guzmán
2 Akulenko, Leonid Denisovich
2 Alpay, Daniel Aron
2 Álvarez-Peña, Cynthia
2 Băleanu, Dumitru I.
2 Baratchart, Laurent
2 Bisht, P. S.
2 Blancarte, Herminio
2 Bryukhov, Dmitry
2 Cerejeiras, Paula
2 Cho, Ilwoo
2 Colombo, Fabrizio
2 Demir, Süleyman
2 Dias, José Carlos
2 El-Azab, M. S.
2 Gao, Long
2 Gavrikov, Alexander A.
2 Grigor’ev, Yuri M.
2 Grudsky, Sergei Mikhailovich
2 Gutiérrez Jiménez, Nelson
2 Hernández-Juárez, Josué
2 Herus, Oleg F.
2 Kravchenko, Igor V.
2 Ludkovsky, Sergey Victor
2 Macías-Cedeño, Marco A.
2 Marmolejo-Olea, Emilio
2 Meziani, Abdelhamid
2 Mironov, Sergey V.
2 Mironov, Victor L.
2 Morelos, Samy
2 Negi, O. P. S.
2 Nesterov, Sergeĭ V.
2 Nguyen, Dinh Liem
2 Oba, Roger M.
2 Oviedo-Galdeano, Héctor
2 Peña Peña, Dixan
2 Pinotsis, Dimitrios A.
...and 205 more Authors
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Cited in 101 Serials

39 Mathematical Methods in the Applied Sciences
37 Advances in Applied Clifford Algebras
19 Journal of Mathematical Analysis and Applications
19 Complex Variables and Elliptic Equations
18 Applied Mathematics and Computation
16 Journal of Mathematical Physics
14 Complex Analysis and Operator Theory
12 Zeitschrift für Analysis und ihre Anwendungen
12 Journal of Mathematical Sciences (New York)
9 Boletín de la Sociedad Matemática Mexicana. Third Series
8 Applicable Analysis
7 Computational Methods and Function Theory
6 Lobachevskii Journal of Mathematics
5 Results in Mathematics
5 Advances in Mathematical Physics
4 Mathematische Nachrichten
4 Boundary Value Problems
3 International Journal of Theoretical Physics
3 Inverse Problems
3 Ukrainian Mathematical Journal
3 Advances in Mathematics
3 Journal of Computational and Applied Mathematics
3 Journal of Inverse and Ill-Posed Problems
3 International Journal of Geometric Methods in Modern Physics
3 Journal of Physics A: Mathematical and Theoretical
2 Journal of Fluid Mechanics
2 Journal of Differential Equations
2 Michigan Mathematical Journal
2 Computational Mathematics and Mathematical Physics
2 Russian Journal of Mathematical Physics
2 Fractals
2 Journal of Inequalities and Applications
2 Acta Mathematica Sinica. English Series
2 Mediterranean Journal of Mathematics
2 Inverse Problems and Imaging
2 Analysis and Mathematical Physics
2 International Journal of Applied and Computational Mathematics
1 Modern Physics Letters A
1 Bulletin of the Australian Mathematical Society
1 Computers & Mathematics with Applications
1 Journal of Engineering Mathematics
1 Mathematical Notes
1 Moscow University Mechanics Bulletin
1 Physica A
1 Physics Letters. A
1 Reports on Mathematical Physics
1 Wave Motion
1 Mathematics of Computation
1 Chaos, Solitons and Fractals
1 Journal of Geometry and Physics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Annales Polonici Mathematici
1 Calcolo
1 International Journal of Mathematics and Mathematical Sciences
1 Integral Equations and Operator Theory
1 Journal of Functional Analysis
1 Quarterly of Applied Mathematics
1 Acta Applicandae Mathematicae
1 Annals of Global Analysis and Geometry
1 Multidimensional Systems and Signal Processing
1 The Journal of Geometric Analysis
1 Numerical Algorithms
1 Annals of Physics
1 Vestnik St. Petersburg University. Mathematics
1 Turkish Journal of Mathematics
1 Filomat
1 ETNA. Electronic Transactions on Numerical Analysis
1 Opuscula Mathematica
1 Integral Transforms and Special Functions
1 Annals of Mathematics and Artificial Intelligence
1 Journal of Mathematical Chemistry
1 Journal of Applied Analysis
1 Abstract and Applied Analysis
1 Mathematical Physics, Analysis and Geometry
1 Fractional Calculus & Applied Analysis
1 International Journal of Theoretical and Applied Finance
1 Journal of the European Mathematical Society (JEMS)
1 Russian Physics Journal
1 Qualitative Theory of Dynamical Systems
1 Journal of Evolution Equations
1 Quantitative Finance
1 Miscelánea Matemática
1 Journal of Applied Mathematics
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Journal of Applied Mathematics and Computing
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Milan Journal of Mathematics
1 Journal of Intelligent and Fuzzy Systems
1 Inverse Problems in Science and Engineering
1 Communications in Mathematical Analysis
1 Advances in High Energy Physics
1 Bulletin of the Georgian National Academy of Sciences. New Series
1 Proceedings of the International Geometry Center
1 S\(\vec{\text{e}}\)MA Journal
1 Mathematical Sciences
1 Concrete Operators
1 Open Mathematics
1 Transactions of A. Razmadze Mathematical Institute
1 Chelyabinskiĭ Fiziko-Matematicheskiĭ Zhurnal
1 AIMS Mathematics
...and 1 more Serials
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Cited in 45 Fields

184 Functions of a complex variable (30-XX)
115 Partial differential equations (35-XX)
80 Ordinary differential equations (34-XX)
40 Quantum theory (81-XX)
36 Optics, electromagnetic theory (78-XX)
35 Operator theory (47-XX)
27 Numerical analysis (65-XX)
19 Special functions (33-XX)
18 Potential theory (31-XX)
16 Functional analysis (46-XX)
14 Integral transforms, operational calculus (44-XX)
12 Number theory (11-XX)
12 Several complex variables and analytic spaces (32-XX)
11 Linear and multilinear algebra; matrix theory (15-XX)
9 Harmonic analysis on Euclidean spaces (42-XX)
9 Integral equations (45-XX)
8 Real functions (26-XX)
7 Fluid mechanics (76-XX)
6 Dynamical systems and ergodic theory (37-XX)
6 Approximations and expansions (41-XX)
6 Global analysis, analysis on manifolds (58-XX)
6 Relativity and gravitational theory (83-XX)
5 Associative rings and algebras (16-XX)
4 Measure and integration (28-XX)
4 Differential geometry (53-XX)
3 Abstract harmonic analysis (43-XX)
3 Mechanics of particles and systems (70-XX)
3 Mechanics of deformable solids (74-XX)
2 Nonassociative rings and algebras (17-XX)
2 Group theory and generalizations (20-XX)
2 Difference and functional equations (39-XX)
2 Statistics (62-XX)
2 Computer science (68-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Statistical mechanics, structure of matter (82-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Systems theory; control (93-XX)
1 Combinatorics (05-XX)
1 Field theory and polynomials (12-XX)
1 Sequences, series, summability (40-XX)
1 Convex and discrete geometry (52-XX)
1 Probability theory and stochastic processes (60-XX)
1 Geophysics (86-XX)
1 Operations research, mathematical programming (90-XX)
1 Information and communication theory, circuits (94-XX)

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