Edit Profile (opens in new tab) Kravchenko, Vladislav Viktorovich Co-Author Distance Author ID: kravchenko.vladislav-v Published as: Kravchenko, Vladislav V.; Kravchenko, V. V.; Kravchenko, Vladislav; Kravchenko, Vladisłav; Kravchenko, V. more...less Further Spellings: Кравченко Владислав Викторович Homepage: https://sites.google.com/site/vvkravche/ External Links: MGP · Wikidata · Google Scholar · Math-Net.Ru · dblp · GND Documents Indexed: 140 Publications since 1993, including 5 Books and 10 Additional arXiv Preprints 5 Contributions as Editor Biographic References: 2 Publications Co-Authors: 54 Co-Authors with 110 Joint Publications 811 Co-Co-Authors all top 5 Co-Authors 34 single-authored 34 Torba, Sergii M. 18 Khmelnytskaya, Kira V. 7 Castillo Pérez, Raúl 6 Campos, Hugo M. 6 Oviedo, Héctor 6 Shapiro, Michael V. 6 Tremblay, Sébastien 6 Vicente-Benítez, Víctor A. 5 Karapetyants, Alekseĭ Nikolaevich 5 Kravchenko, Viktor G. 5 Rabinovich, Vladimir Samuilovich 4 Avdonin, Sergeĭ Anatol’evich 4 Delgado, Briceyda B. 4 Porter, R. Michael 3 Grudsky, Sergei Mikhailovich 3 Kravchenko, Igor V. 3 Liflyand, Elijah 3 Shishkina, Elina Leonidovna 2 Barrera-Figueroa, Victor 2 Castillo P., Raúl 2 Dias, José Carlos 2 Karyakin, Mikhail I. 2 Malonek, Helmuth Robert 2 Morelos, Samy 2 Oviedo-Galdeano, Héctor 2 Ramirez T., Marco P. 2 Santana, Gustavo 2 Sitnik, Sergei Mihailovich 2 Velasco-García, Ulises 1 Avsyankin, Oleg Gennadievich 1 Baldenebro-Obeso, Jesús A. 1 Blancarte, Herminio 1 Castañeda, Antonio Rafael Selva 1 Cerejeiras, Paula 1 Erusalimskiĭ, Yakov Mikhaĭlovich 1 Kähler, Uwe 1 Kozak, Anatoly V. 1 Kryakvin, Vadim Donatovich 1 Kusraev, Anatoliĭ Georgievich 1 Kusraeva, Zalina Anatol’evna 1 Méndez, Luis M. 1 Meziani, Abdelhamid 1 Moreira, Pablo E. 1 Murcia-Lozano, L. Estefania 1 Navarro, Luis J. 1 Otero, Josafath A. 1 Ramírez de Arellano, Enrique 1 Ramírez Tachiquín, Marco Pedro 1 Reséndiz Vázquez, Rabindranath 1 Rochon, Dominic 1 Rosu, Haret C. 1 Samko, Stefan Grigor’evich 1 Santana-Bejarano, Jessica Yu. 1 Savchenko, A. Ya 1 Williams, Benjamin S. all top 5 Serials 28 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 Journal of Mathematical Physics 6 Complex Variables and Elliptic Equations 5 Journal of Mathematical Analysis and Applications 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 Analysis and Mathematical Physics 1 Trends in Mathematics all top 5 Fields 60 Partial differential equations (35-XX) 54 Functions of a complex variable (30-XX) 54 Ordinary differential equations (34-XX) 29 Quantum theory (81-XX) 24 Optics, electromagnetic theory (78-XX) 22 Numerical analysis (65-XX) 16 Operator theory (47-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 5 General and overarching topics; collections (00-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Approximations and expansions (41-XX) 4 Special functions (33-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Functional analysis (46-XX) 3 Potential theory (31-XX) 2 Integral equations (45-XX) 2 Relativity and gravitational theory (83-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Group theory and generalizations (20-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 120 Publications have been cited 1,339 times in 468 Documents Cited by ▼ Year ▼ Integral representations for spatial models of mathematical physics. Zbl 0872.35001 Kravchenko, V. V.; Shapiro, Michael V. 136 1996 Applied quaternionic analysis. Zbl 1014.78003 Kravchenko, V. 87 2003 Applied pseudoanalytic function theory. Zbl 1182.30002 Kravchenko, Vladislav V. 81 2009 Spectral parameter power series for Sturm-Liouville problems. Zbl 1202.34060 Kravchenko, Vladislav V.; Porter, R. Michael 67 2010 A representation for solutions of the Sturm-Liouville equation. Zbl 1183.30052 Kravchenko, Vladislav V. 52 2008 Direct and inverse Sturm-Liouville problems. A method of solution. Zbl 1535.34001 Kravchenko, Vladislav V. 39 2020 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. 35 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. 28 2012 Eigenvalue problems, spectral parameter power series, and modern applications. Zbl 1347.34128 Khmelnytskaya, Kira V.; Kravchenko, Vladislav V.; Rosu, Haret C. 25 2015 Transmutations and spectral parameter power series in eigenvalue problems. Zbl 1347.34130 Kravchenko, Vladislav V.; Torba, Sergii M. 23 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. 21 2011 Spectral parameter power series for fourth-order Sturm-Liouville problems. Zbl 1311.34026 Khmelnytskaya, Kira V.; Kravchenko, Vladislav V.; Baldenebro-Obeso, Jesús A. 20 2012 Analytic approximation of transmutation operators and applications to highly accurate solution of spectral problems. Zbl 1337.65099 Kravchenko, Vladislav V.; Torba, Sergii M. 20 2015 Transmutations for Darboux transformed operators with applications. Zbl 1241.81065 Kravchenko, Vladislav V.; Torba, Sergii M. 19 2012 Spectral parameter power series for perturbed Bessel equations. Zbl 1329.34021 Castillo-Pérez, Raúl; Kravchenko, Vladislav V.; Torba, Sergii M. 19 2013 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. 18 2005 Helmholtz operator with a quaternionic wave number and associated function theory. II: Integral representations. Zbl 0790.30039 Kravchenko, V. V.; Shapiro, M. V. 18 1993 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 18 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. 17 2004 Construction of transmutation operators and hyperbolic pseudoanalytic functions. Zbl 1308.30055 Kravchenko, Vladislav V.; Torba, Sergii M. 16 2015 On a method for solving the inverse Sturm-Liouville problem. Zbl 1434.34026 Kravchenko, Vladislav V. 16 2019 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. 16 2012 A Neumann series of Bessel functions representation for solutions of Sturm-Liouville equations. Zbl 1391.34060 Kravchenko, Vladislav V.; Torba, Sergii M. 16 2018 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 15 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. 15 2013 On a factorization of second-order elliptic operators and applications. Zbl 1106.30028 Kravchenko, Vladislav V. 15 2006 Complete systems of recursive integrals and Taylor series for solutions of Sturm – Liouville equations. Zbl 1243.34011 Kravchenko, Vladislav V.; Morelos, Samy; Tremblay, Sébastien 14 2012 Liouville transformation, analytic approximation of transmutation operators and solution of spectral problems. Zbl 1410.34071 Kravchenko, Vladislav V.; Morelos, Samy; Torba, Sergii M. 14 2016 Quaternionic time-harmonic Maxwell operator. Zbl 0869.35099 Kravchenko, Vladislav V.; Shapiro, Michael V. 13 1995 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. 13 2003 New applications of pseudoanalytic function theory to the Dirac equation. Zbl 1081.81031 Castañeda, Antonio; Kravchenko, Vladislav V. 13 2005 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 On a biquaternionic bag model. Zbl 0814.35025 Kravchenko, V. V. 12 1995 On the Klein-Gordon equation and hyperbolic pseudoanalytic function theory. Zbl 1139.81027 Kravchenko, V. V.; Rochon, D.; Tremblay, S. 12 2008 Modified spectral parameter power series representations for solutions of Sturm-Liouville equations and their applications. Zbl 1334.34026 Kravchenko, Vladislav V.; Torba, Sergii M. 11 2014 Quaternionic reformulation of Maxwell equations for inhomogeneous media and new solutions. Zbl 0999.30033 Kravchenko, V. V. 10 2002 A direct method for solving inverse Sturm-Liouville problems. Zbl 07305940 Kravchenko, Vladislav V.; Torba, Sergii M. 10 2021 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 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. 10 2012 On a method for solving the inverse scattering problem on the line. Zbl 1414.34068 Kravchenko, Vladislav V. 9 2019 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. 9 2018 Spectral parameter power series analysis of isotropic planarly layered waveguides. Zbl 1291.78062 Barrera-Figueroa, Víctor; Kravchenko, Vladislav V.; Rabinovich, Vladimir S. 8 2014 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 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. 8 2019 A right inverse operator for \(\operatorname{curl}+\lambda \) and applications. Zbl 1418.30047 Delgado, Briceyda B.; Kravchenko, Vladislav V. 8 2019 Generalized wave polynomials and transmutations related to perturbed Bessel equations. Zbl 1491.34044 Kravchenko, Vladislav V.; Torba, Sergii M.; Santana-Bejarano, Jessica Yu. 8 2019 Transmutation operators and applications. Zbl 1443.34001 8 2020 Helmholtz operator with a quaternionic wave number and associated function theory. Zbl 0831.30030 Kravchenko, V. V.; Shapiro, M. V. 7 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 7 2015 Quaternionic fundamental solutions for electromagnetic scattering problems and application. Zbl 1076.30052 Khmelnytskaya, K. V.; Kravchenko, V. V.; Rabinovich, V. S. 7 2003 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 On the relationship between \(p\)-analytic functions and Schrödinger equation. Zbl 1100.30040 Kravchenko, Vladislav V. 7 2005 Transmutation operators and a new representation for solutions of perturbed Bessel equations. Zbl 1478.34095 Kravchenko, Vladislav V.; Torba, Sergii M. 6 2021 A practical method for recovering Sturm-Liouville problems from the Weyl function. Zbl 07357685 Kravchenko, Vladislav V.; Torba, Sergii M. 6 2021 Method for solving inverse spectral problems on quantum star graphs. Zbl 1519.34015 Avdonin, Sergei A.; Kravchenko, Vladislav V. 6 2023 On the kernel of the Klein-Gordon operator. Zbl 0903.35056 Kravchenko, V. V.; Castillo P., R. 6 1998 A finite-sum representation for solutions for the Jacobi operator. Zbl 1220.39002 Campos, Hugo M.; Kravchenko, Vladislav V. 6 2011 A transmutation operator method for solving the inverse quantum scattering problem. Zbl 1471.34162 Kravchenko, Vladislav V.; Shishkina, Elina L.; Torba, Sergii M. 6 2020 Methods of mathematical physics. Classical and modern. Zbl 1502.35002 Karapetyants, Alexey N.; Kravchenko, Vladislav V. 6 2022 Analytic approximation of solutions of parabolic partial differential equations with variable coefficients. Zbl 1453.35108 Kravchenko, Vladislav V.; Otero, Josafath A.; Torba, Sergii M. 6 2017 Spectrum completion and inverse Sturm-Liouville problems. Zbl 1538.34105 Kravchenko, Vladislav V. 5 2023 Time-dependent electromagnetic fields in chiral media. Zbl 1203.78008 Kravchenko, Vladislav V.; Oviedo, Héctor 5 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 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 Recent developments in applied pseudoanalytic function theory. Zbl 1232.30031 Kravchenko, Vladislav V. 5 2008 On force free magnetic fields. Quaternionic approach. Zbl 1141.76480 Kravchenko, Vladislav V. 5 2005 Solution of parabolic free boundary problems using transmuted heat polynomials. Zbl 1423.35466 Kravchenko, Igor V.; Kravchenko, Vladislav V.; Torba, Sergii M. 5 2019 On the solution of the static Maxwell system in axially symmetric inhomogeneous media. Zbl 1184.30039 Khmelnytskaya, Kira V.; Kravchenko, Vladislav V.; Oviedo, Héctor 5 2010 Analytic approximation of transmutation operators and related systems of functions. Zbl 1369.34105 Kravchenko, Vladislav V.; Torba, Sergii M. 5 2016 Complete systems of Beltrami fields using complex quaternions and transmutation theory. Zbl 1464.35004 Kravchenko, Vladislav V.; Moreira, Pablo E.; Porter, R. Michael 4 2021 Operator theory and harmonic analysis. OTHA 2020, Part I – new general trends and advances of the theory. Based on the international conference on modern methods, problems and applications of operator theory and harmonic analysis. Zbl 1470.47002 4 2021 Exact solutions of the Dirac equation with harmonic pseudoscalar, scalar or electric potential. Zbl 0931.35141 Kravchenko, Vladislav V. 4 1998 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 Spatial pseudoanalytic functions arising from the factorization of linear second order elliptic operators. Zbl 1242.30039 Kravchenko, Vladislav V.; Tremblay, Sébastien 4 2011 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 Runge property and approximation by complete systems of solutions for strongly elliptic equations. Zbl 1484.35018 Kravchenko, Vladislav V.; Vicente-Benítez, Víctor A. 4 2022 The Bergman kernel for the Vekua equation. Zbl 1456.30083 Campos, Hugo M.; Kravchenko, Vladislav V. 4 2020 Construction of a transmutation for the one-dimensional Schrödinger operator and a representation for solutions. Zbl 1427.34023 Kravchenko, Vladislav V. 4 2018 Some recent developments in the transmutation operator approach. Zbl 1501.47080 Kravchenko, Vladislav V.; Sitnik, Sergei M. 4 2020 On a transplant operator and explicit construction of Cauchy-type integral representations for \(p\)-analytic functions. Zbl 1135.30020 Kravchenko, Vladislav V. 4 2008 Zakharov-Shabat system and hyperbolic pseudoanalytic function theory. Zbl 1196.30043 Kravchenko, Viktor G.; Kravchenko, Vladislav V.; Tremblay, Sébastien 4 2010 Transmutation operators method for Sturm-Liouville equations in impedance form. I: Construction and analytical properties. Zbl 1537.34046 Kravchenko, Vladislav V.; Vicente-Benítez, Víctor A. 3 2022 On some nonlinear equations generated by Fueter type operators. Zbl 0809.35054 Kravchenko, V. G.; Kravchenko, V. V. 3 1994 New exact solutions of the massive Dirac equation with electric or scalar potential. Zbl 1032.81511 Kravchenko, Vladislav V.; Ramirez T., Marco P. 3 2000 On Beltrami fields with nonconstant proportionality factor. Zbl 1039.35027 Kravchenko, Vladislav V. 3 2003 A quaternionic generalization of the Riccati differential equation. Zbl 1038.30021 Kravchenko, Viktor; Kravchenko, Vladisłav; Williams, Benjamin 3 2001 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. 3 2020 Transmutation operators and complete systems of solutions for the radial Schrödinger equation. Zbl 1454.35074 Kravchenko, Vladislav V.; Vicente-Benítez, Víctor A. 3 2020 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 a complex differential Riccati equation. Zbl 1134.30038 Khmelnytskaya, Kira V.; Kravchenko, Vladislav V. 3 2008 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 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 integral representations and boundary properties of spinor fields. Zbl 0860.35105 Kravchenko, V. V.; Ramírez de Arellano, Enrique; Shapiro, Michael V. 2 1996 Recovery of a potential on a quantum star graph from Weyl’s matrix. Zbl 1530.34024 Avdonin, Sergei A.; Khmelnytskaya, Kira V.; Kravchenko, Vladislav V. 2 2024 Biquaternionic treatment of inhomogeneous time-harmonic Maxwell’s equations over unbounded domains. Zbl 1516.35397 Delgado, Briceyda B.; Kravchenko, Vladislav V. 2 2023 Generalized holomorphic vectors and \(\alpha\)-hyperholomorphic function theory. Zbl 0806.30028 Kravchenko, V. V. 2 1994 Recovery of a potential on a quantum star graph from Weyl’s matrix. Zbl 1530.34024 Avdonin, Sergei A.; Khmelnytskaya, Kira V.; Kravchenko, Vladislav V. 2 2024 Reconstruction techniques for complex potentials. Zbl 1535.34029 Kravchenko, Vladislav V. 1 2024 Method for solving inverse spectral problems on quantum star graphs. Zbl 1519.34015 Avdonin, Sergei A.; Kravchenko, Vladislav V. 6 2023 Spectrum completion and inverse Sturm-Liouville problems. Zbl 1538.34105 Kravchenko, Vladislav V. 5 2023 Biquaternionic treatment of inhomogeneous time-harmonic Maxwell’s equations over unbounded domains. Zbl 1516.35397 Delgado, Briceyda B.; Kravchenko, Vladislav V. 2 2023 Series representation for the Jost solution of the Sturm-Liouville equation in impedance form. Zbl 1538.34106 Kravchenko, Vladislav V.; Vicente-Benítez, Víctor A. 1 2023 Synthesis of a quantum tree Weyl matrix. Zbl 1528.34026 Avdonin, Sergei A.; Khmelnytskaya, Kira V.; Kravchenko, Vladislav V. 1 2023 Realization of the inverse scattering transform method for the Korteweg-de Vries equation. Zbl 1527.34132 Grudsky, Sergei M.; Kravchenko, Vladislav V.; Torba, Sergii M. 1 2023 Methods of mathematical physics. Classical and modern. Zbl 1502.35002 Karapetyants, Alexey N.; Kravchenko, Vladislav V. 6 2022 Runge property and approximation by complete systems of solutions for strongly elliptic equations. Zbl 1484.35018 Kravchenko, Vladislav V.; Vicente-Benítez, Víctor A. 4 2022 Transmutation operators method for Sturm-Liouville equations in impedance form. I: Construction and analytical properties. Zbl 1537.34046 Kravchenko, Vladislav V.; Vicente-Benítez, Víctor A. 3 2022 Generalized exponential basis for efficient solving of homogeneous diffusion free boundary problems: Russian option pricing. Zbl 1532.35543 Kravchenko, Igor V.; Kravchenko, Vladislav V.; Torba, Sergii M.; Dias, José Carlos 1 2022 A direct method for solving inverse Sturm-Liouville problems. Zbl 07305940 Kravchenko, Vladislav V.; Torba, Sergii M. 10 2021 Transmutation operators and a new representation for solutions of perturbed Bessel equations. Zbl 1478.34095 Kravchenko, Vladislav V.; Torba, Sergii M. 6 2021 A practical method for recovering Sturm-Liouville problems from the Weyl function. Zbl 07357685 Kravchenko, Vladislav V.; Torba, Sergii M. 6 2021 Complete systems of Beltrami fields using complex quaternions and transmutation theory. Zbl 1464.35004 Kravchenko, Vladislav V.; Moreira, Pablo E.; Porter, R. Michael 4 2021 Operator theory and harmonic analysis. OTHA 2020, Part I – new general trends and advances of the theory. Based on the international conference on modern methods, problems and applications of operator theory and harmonic analysis. Zbl 1470.47002 4 2021 Direct and inverse Sturm-Liouville problems. A method of solution. Zbl 1535.34001 Kravchenko, Vladislav V. 39 2020 Transmutation operators and applications. Zbl 1443.34001 8 2020 A transmutation operator method for solving the inverse quantum scattering problem. Zbl 1471.34162 Kravchenko, Vladislav V.; Shishkina, Elina L.; Torba, Sergii M. 6 2020 The Bergman kernel for the Vekua equation. Zbl 1456.30083 Campos, Hugo M.; Kravchenko, Vladislav V. 4 2020 Some recent developments in the transmutation operator approach. Zbl 1501.47080 Kravchenko, Vladislav V.; Sitnik, Sergei M. 4 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. 3 2020 Transmutation operators and complete systems of solutions for the radial Schrödinger equation. Zbl 1454.35074 Kravchenko, Vladislav V.; Vicente-Benítez, Víctor A. 3 2020 On a method for solving the inverse Sturm-Liouville problem. Zbl 1434.34026 Kravchenko, Vladislav V. 16 2019 On a method for solving the inverse scattering problem on the line. Zbl 1414.34068 Kravchenko, Vladislav V. 9 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. 8 2019 A right inverse operator for \(\operatorname{curl}+\lambda \) and applications. Zbl 1418.30047 Delgado, Briceyda B.; Kravchenko, Vladislav V. 8 2019 Generalized wave polynomials and transmutations related to perturbed Bessel equations. Zbl 1491.34044 Kravchenko, Vladislav V.; Torba, Sergii M.; Santana-Bejarano, Jessica Yu. 8 2019 Solution of parabolic free boundary problems using transmuted heat polynomials. Zbl 1423.35466 Kravchenko, Igor V.; Kravchenko, Vladislav V.; Torba, Sergii M. 5 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 A method for computation of scattering amplitudes and Green functions of whole axis problems. Zbl 1427.34116 Castillo Pérez, Raúl; Kravchenko, Vladislav V.; 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 Spectral parameter power series for arbitrary order linear differential equations. Zbl 1431.35001 Kravchenko, Vladislav V.; Porter, R. Michael; Torba, Sergii M. 1 2019 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 18 2018 A Neumann series of Bessel functions representation for solutions of Sturm-Liouville equations. Zbl 1391.34060 Kravchenko, Vladislav V.; Torba, Sergii M. 16 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. 9 2018 Construction of a transmutation for the one-dimensional Schrödinger operator and a representation for solutions. Zbl 1427.34023 Kravchenko, Vladislav V. 4 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. 35 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. 6 2017 Asymptotics with respect to the spectral parameter and Neumann series of Bessel functions for solutions of the one-dimensional Schrödinger equation. Zbl 1377.81043 Kravchenko, Vladislav V.; Torba, Sergii M. 1 2017 Liouville transformation, analytic approximation of transmutation operators and solution of spectral problems. Zbl 1410.34071 Kravchenko, Vladislav V.; Morelos, Samy; Torba, Sergii M. 14 2016 Analytic approximation of transmutation operators and related systems of functions. Zbl 1369.34105 Kravchenko, Vladislav V.; Torba, Sergii M. 5 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. 25 2015 Analytic approximation of transmutation operators and applications to highly accurate solution of spectral problems. Zbl 1337.65099 Kravchenko, Vladislav V.; Torba, Sergii M. 20 2015 Construction of transmutation operators and hyperbolic pseudoanalytic functions. Zbl 1308.30055 Kravchenko, Vladislav V.; Torba, Sergii M. 16 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 7 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. 11 2014 Spectral parameter power series analysis of isotropic planarly layered waveguides. Zbl 1291.78062 Barrera-Figueroa, Víctor; Kravchenko, Vladislav V.; Rabinovich, Vladimir S. 8 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. 23 2013 Spectral parameter power series for perturbed Bessel equations. Zbl 1329.34021 Castillo-Pérez, Raúl; Kravchenko, Vladislav V.; Torba, Sergii M. 19 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 15 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. 15 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. 28 2012 Spectral parameter power series for fourth-order Sturm-Liouville problems. Zbl 1311.34026 Khmelnytskaya, Kira V.; Kravchenko, Vladislav V.; Baldenebro-Obeso, Jesús A. 20 2012 Transmutations for Darboux transformed operators with applications. Zbl 1241.81065 Kravchenko, Vladislav V.; Torba, Sergii M. 19 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. 16 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 14 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. 10 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. 21 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 4 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 67 2010 Time-dependent electromagnetic fields in chiral media. Zbl 1203.78008 Kravchenko, Vladislav V.; Oviedo, Héctor 5 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 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. 81 2009 A representation for solutions of the Sturm-Liouville equation. Zbl 1183.30052 Kravchenko, Vladislav V. 52 2008 On the Klein-Gordon equation and hyperbolic pseudoanalytic function theory. Zbl 1139.81027 Kravchenko, V. V.; Rochon, D.; Tremblay, S. 12 2008 Recent developments in applied pseudoanalytic function theory. Zbl 1232.30031 Kravchenko, Vladislav V. 5 2008 On a transplant operator and explicit construction of Cauchy-type integral representations for \(p\)-analytic functions. Zbl 1135.30020 Kravchenko, Vladislav V. 4 2008 On a complex differential Riccati equation. Zbl 1134.30038 Khmelnytskaya, Kira V.; Kravchenko, Vladislav V. 3 2008 On a factorization of the Schrödinger and Klein-Gordon operators. Zbl 1165.35339 Cerejeiras, Paula; Kähler, Uwe; Kravchenko, Vladislav V. 3 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. 18 2005 New applications of pseudoanalytic function theory to the Dirac equation. Zbl 1081.81031 Castañeda, Antonio; Kravchenko, Vladislav V. 13 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. 5 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. 17 2004 Applied quaternionic analysis. Zbl 1014.78003 Kravchenko, V. 87 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. 13 2003 Quaternionic fundamental solutions for electromagnetic scattering problems and application. Zbl 1076.30052 Khmelnytskaya, K. V.; Kravchenko, V. V.; Rabinovich, V. S. 7 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. 10 2002 An analogue of the Sommerfeld radiation condition for the Dirac operator. Zbl 1058.30047 Kravchenko, Vladislav V.; Castillo P., Raúl 2 2002 ...and 20 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 385 Authors 90 Kravchenko, Vladislav Viktorovich 35 Bory Reyes, Juan 32 Torba, Sergii M. 24 Abreu-Blaya, Ricardo 20 Morais, João Pedro 19 Pérez-de La Rosa, Marco Antonio 18 Khmelnytskaya, Kira V. 17 Shapiro, Michael V. 16 Rabinovich, Vladimir Samuilovich 15 Kraußhar, Rolf Sören 15 Porter, R. Michael 14 Delgado, Briceyda B. 13 Schneider, Baruch 10 Barrera-Figueroa, Victor 9 Bondarenko, Natalia P. 9 Cho, Ilwoo 9 Kähler, Uwe 9 Sitnik, Sergei Mihailovich 8 Kou, Kit-Ian 8 Tremblay, Sébastien 8 Vicente-Benítez, Víctor A. 7 Campos, Hugo M. 7 Castillo Pérez, Raúl 7 Constales, Denis 7 Gürlebeck, Klaus 7 Rodríguez-Dagnino, Ramón Martín 6 González-Cervantes, José Óscar 6 Kisil, Vladimir V. 6 Luna-Elizarrarás, María Elena 6 Shpakivskyi, Vitalii Stanislavovich 6 Struppa, Daniele Carlo 5 Alpay, Daniel Aron 5 Gu, Longfei 5 Kansu, Mustafa Emre 5 Malonek, Helmuth Robert 4 Avdonin, Sergeĭ Anatol’evich 4 Bernstein, Swanhild 4 Brackx, Fred F. 4 Cerejeiras, Paula 4 De Schepper, Hennie 4 Demir, Süleyman 4 Dinh, Doan Cong 4 Gentili, Graziano 4 Mironov, Victor L. 4 Oviedo, Héctor 4 Rosu, Haret C. 4 Shishkina, Elina Leonidovna 4 Skoromnik, Oksana V. 4 Sprößig, Wolfgang 4 Stoppato, Caterina 4 Tanişli, Murat 4 Wang, Liping 3 Álvarez-Peña, Cynthia 3 Ávila-Ávila, Rafael 3 Boumenir, Amin A. 3 Brown, Philip R. 3 Cação, Isabel 3 Chitorkin, Egor E. 3 El-Gamel, Mohamed 3 Giorgadze, Grigory 3 González-Campos, Daniel 3 Grob, Dennis 3 Kravchenko, Igor V. 3 Leblond, Juliette 3 Makovetsky, Viktor I. 3 Mironov, Sergey V. 3 Peña Pérez, Yudier 3 Perotti, Alessandro 3 Sabadini, Irene 3 Sommen, Franciscus 3 Weng, Zi-Hua 3 Xu, Tianzhou 3 Yang, Chuanfu 3 Yang, Pei 3 Yang, Zhanpeng 2 Adán, Alí Guzmán 2 Akulenko, Leonid Denisovich 2 Alzamili, Khitam 2 Băleanu, Dumitru I. 2 Baratchart, Laurent 2 Bisht, P. S. 2 Blancarte, Herminio 2 Bryukhov, Dmitry 2 Castillo P., Raúl 2 Colombo, Fabrizio 2 Dias, José Carlos 2 El-Azab, M. S. 2 Fu, Zunwei 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 Jørgensen, Palle E. T. 2 Ludkovsky, Sergey Victor 2 Macías-Cedeño, Marco A. 2 Macías-Díaz, Jorge Eduardo 2 Marmolejo-Olea, Emilio ...and 285 more Authors all top 5 Cited in 119 Serials 63 Mathematical Methods in the Applied Sciences 46 Advances in Applied Clifford Algebras 22 Journal of Mathematical Analysis and Applications 21 Complex Analysis and Operator Theory 20 Complex Variables and Elliptic Equations 19 Applied Mathematics and Computation 18 Journal of Mathematical Physics 18 Boletín de la Sociedad Matemática Mexicana. 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New Series 1 Milan Journal of Mathematics 1 Journal of Intelligent and Fuzzy Systems ...and 19 more Serials all top 5 Cited in 50 Fields 215 Functions of a complex variable (30-XX) 144 Partial differential equations (35-XX) 106 Ordinary differential equations (34-XX) 55 Operator theory (47-XX) 48 Quantum theory (81-XX) 44 Optics, electromagnetic theory (78-XX) 37 Numerical analysis (65-XX) 29 Functional analysis (46-XX) 24 Potential theory (31-XX) 23 Special functions (33-XX) 20 Integral transforms, operational calculus (44-XX) 18 Linear and multilinear algebra; matrix theory (15-XX) 17 Several complex variables and analytic spaces (32-XX) 14 Number theory (11-XX) 13 Harmonic analysis on Euclidean spaces (42-XX) 12 Real functions (26-XX) 11 Integral equations (45-XX) 11 Fluid mechanics (76-XX) 11 Relativity and gravitational theory (83-XX) 9 Dynamical systems and ergodic theory (37-XX) 9 Approximations and expansions (41-XX) 8 Group theory and generalizations (20-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Associative rings and algebras (16-XX) 5 Measure and integration (28-XX) 5 Abstract harmonic analysis (43-XX) 5 Differential geometry (53-XX) 5 Mechanics of particles and systems (70-XX) 4 Mechanics of deformable solids (74-XX) 3 Difference and functional equations (39-XX) 3 Computer science (68-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Combinatorics (05-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Nonassociative rings and algebras (17-XX) 2 Topological groups, Lie groups (22-XX) 2 Statistics (62-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Geophysics (86-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Systems theory; control (93-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Sequences, series, summability (40-XX) 1 Convex and discrete geometry (52-XX) 1 Probability theory and stochastic processes (60-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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