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Grudsky, Sergei; Malonek, Helmuth R.; Rabinovich, Vladimir; Stratis, Ioannis

Professor Vladislav V. Kravchenko: a mathematician and a friend. (English) Zbl 1529.01030

J. Math. Sci., New York 271, No. 1, Series A, 3-6 (2023).

MSC:

01A70 Biographies, obituaries, personalia, bibliographies

Biographic References:

Kravchenko, Vladislav V.
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[1] V. V. Kravchenko A representation for solutions of the Sturm-Liouville equation. Complex Variables and Elliptic Equations, 2008, v. 53, No. 8, 775-789 · Zbl 1183.30052
[2] V. V. Kravchenko, R. M. Porter Spectral parameter power series for Sturm-Liouville problems. Mathematical Methods in the Applied Sciences, 2010, v. 33, issue 4, 459-468 · Zbl 1202.34060
[3] R. Castillo, K. V. Khmelnytskaya, V. V. Kravchenko, H. Oviedo Galdeano Efficient calculation of the reflectance and transmittance of finite inhomogeneous layers. Journal of Optics A: Pure and Applied Optics, 2009, v. 11, issue 6, 065707.
[4] R. Castillo, V. V. Kravchenko, H. Oviedo, V. S. Rabinovich Dispersion equation and eigenvalues for quantum wells using spectral parameter power series. Journal of Mathematical Physics, 2011, v. 52, issue 4, # 043522 (10 pp.) · Zbl 1316.81023
[5] V. V. Kravchenko, R. M. Porter Conformal Mapping of Right Circular Quadrilaterals. Complex Variables and Elliptic Equations. 2011, v. 56, issue 5, 399 - 415 · Zbl 1220.30008
[6] V. V. Kravchenko, U. Velasco-Garcia Dispersion equation and eigenvalues for the Zakharov-Shabat system using spectral parameter power series. Journal of Mathematical Physics, 2011, v. 52, issue 6, # 063517 · Zbl 1317.35237
[7] V. V. Kravchenko, S. Morelos, S. Tremblay Complete systems of recursive integrals and Taylor series for solutions of Sturm-Liouville equations. Mathematical Methods in the Applied Sciences, 2012, v. 35, issue 6, 704-715 · Zbl 1243.34011
[8] K. V. Khmelnytskaya, V. V. Kravchenko, J. A. Baldenebro-Obeso Spectral parameter power series for fourth-order Sturm-Liouville problems. Applied Mathematics and Computation, 219 (2012) 3610-3624. · Zbl 1311.34026
[9] H. Campos, V. V. Kravchenko, S. M. Torba Transmutations, L-bases and complete families of solutions of the stationary Schrödinger equation in the plane. Journal of Mathematical Analysis and Applications, 2012, v. 389, issue 2, 1222-1238 · Zbl 1246.34080
[10] V. V. Kravchenko, L. J. Navarro, S. M. Torba Representation of solutions to the one-dimensional Schrödinger equation in terms of Neumann series of Bessel functions. Applied Mathematics and Computation, v. 314 No. 1 (2017), 173-192 · Zbl 1426.34025
[11] V. V. Kravchenko Construction of a transmutation for the one-dimensional Schrödinger operator and a representation for solutions. Applied Mathematics and Computation, 2018, v. 328, 75-81 · Zbl 1427.34023
[12] V. V. Kravchenko On a method for solving the inverse scattering problem on the line. Mathematical Methods in the Applied Sciences v. 42 (2019), no. 4, 1321-1327 · Zbl 1414.34068
[13] V. V. Kravchenko, S. M. Torba Transmutation operators and a new representation for solutions of perturbed Bessel equations. Mathematical Methods in the Applied Sciences v. 44 (2021) 6344-6375. · Zbl 1478.34095
[14] V. V. Kravchenko On a method for solving the inverse Sturm-Liouville problem. Journal of Inverse and Ill-Posed Problems v. 27 (2019), no. 3, 401-407 · Zbl 1434.34026
[15] B. B. Delgado, K. V. Khmelnytskaya, V. V. Kravchenko The transmutation operator method for efficient solution of the inverse Sturm‐Liouville problem on a half‐line. Mathematical Methods in the Applied Sciences. v. 42 (2019) 7359-7366 · Zbl 1431.65119
[16] B. B. Delgado, K. V. Khmelnytskaya, V. V. Kravchenko A representation for Jost solutions and an efficient method for solving the spectral problem on the half line. Mathematical Methods in the Applied Sciences v. 43 (2020) 9304-9319 · Zbl 1460.34105
[17] V. V. Kravchenko, E. L. Shishkina, S. M. Torba A transmutation operator method for solving the inverse quantum scattering problem. Inverse Problems, v. 36 (2020) 125007 (23pp) · Zbl 1471.34162
[18] V. V. Kravchenko, S. M. Torba A direct method for solving inverse Sturm-Liouville problems. Inverse Problems v. 37, 2021, # 015015 (32 pp) · Zbl 07305940
[19] V. V. Kravchenko, S. M. Torba A practical method for recovering Sturm-Liouville problems from the Weyl function. Inverse Problems 2021, 37(6), 065011 · Zbl 07357685
[20] V. V. Kravchenko “Direct and inverse Sturm-Liouville problems: A method of solution”. Birkhäuser, Series: Frontiers in Mathematics, 2020. doi:10.1007/978-3-030-47849-0 · Zbl 1535.34001
[21] A. N. Karapetyants, V. V. Kravchenko “Methods of Mathematical Physics: Classical and Modern”, Birkhäuser Cham, 2022. doi:10.1007/978-3-031-17845-0 · Zbl 1502.35002
[22] V. V. Kravchenko, V. A. Vicente-Benitez Runge property and approximation by complete systems of solutions for strongly elliptic equations, Complex Variables and Elliptic Equations, 2022, vol. 67, No. 3, 661-682. · Zbl 1484.35018
[23] V. V. Kravchenko, K. V. Khmelnytskaya, F. A. Çetinkaya Recovery of inhomogeneity from output boundary data, Mathematics, 2022, 10, 4349.
[24] V. V. Kravchenko, V. A. Vicente-Benitez Transmutation operators method for Sturm-Liouville equations in impedance form I: Construction and analytical properties, Journal of Mathematical Sciences, 2022, v. 266, issue 1, 103-132. · Zbl 1537.34046
[25] I. V. Kravchenko, V. V. Kravchenko, S. M. Torba, J. C. Dias Generalized exponential basis for efficient solving of homogeneous diffusion free boundary problems: Russian option pricing, Journal of Mathematical Sciences, 2022, v. 266, issue 2, 353 - 377. · Zbl 1532.35543
[26] V. V. Kravchenko, V. A. Vicente-Benitez Series representation for the Jost solution of the Sturm-Liouville equation in impedance form, Mathematical Methods in the Applied Sciences, 2023, v. 46, issue 2, 2840-2868. · Zbl 1538.34106
[27] V. V. Kravchenko, V. A. Vicente-Benitez Transmutation operators method for Sturm-Liouville equations in impedance form II: Inverse problem, Journal of Mathematical Sciences, doi:10.1007/s10958-022-05892-y.
[28] V. V. Kravchenko Spectrum completion and inverse Sturm-Liouville problems. Mathematical Methods in the Applied Sciences, Published Online. doi:10.1002/mma.8869 · Zbl 1538.34105
[29] S. A. Avdonin, V. V. Kravchenko Method for solving inverse spectral problems on quantum star graphs. Journal of Inverse and Ill-Posed Problems, 2023, v. 31, issue 1, 31-42. · Zbl 1519.34015
[30] S. M. Grudsky, V. V. Kravchenko, S. M. Torba Realization of the inverse scattering transform method for the Korteweg-de Vries equation. Mathematical Methods in the Applied Sciences, 2023, doi:10.1002/mma.9049.
[31] F. Zhang, X. Zhou, Capillary surfaces in and around exotic cylinders with application to stability analysis. Journal of Fluid Mechanics 882 (2020) A28. doi:10.1017/jfm.2019.824 · Zbl 1460.76130
[32] F. Zhang, X. Zhou, General exotic capillary tubes. Journal of Fluid Mechanics 885 (2020) A1. doi:10.1017/jfm.2019.982 · Zbl 1460.76129
[33] Barrera-Figueroa, V., Analysis of the spectral singularities of Schrödinger operator with complex potential by means of the SPPS method, Journal of Physics: Conference Series, 698, 012029 (2016)
[34] Barrera-Figueroa, V., A power series representation for the characteristic equation of Gamow-Siegert eigenstates, Journal of Physics: Conference Series, 839, 1, 012004 (2017)
[35] Barrera-Figueroa, V.; Rabinovich, VS, Numerical calculation of the discrete spectra of one-dimensional Schrödinger operators with point interactions, Mathematical Methods in the Applied Sciences, 42, 15, 5072-5093 (2019) · Zbl 1468.34120 · doi:10.1002/mma.5444
[36] Khmelnytskaya, KV; Rosu, HC, Spectral parameter power series representation for Hill’s discriminant, Annals of Physics, 325, 11, 2512-2521 (2010) · Zbl 1213.34027 · doi:10.1016/j.aop.2010.06.009
[37] Khmelnytskaya, KV; Torchynska, TV, Reconstruction of potentials in quantum dots and other small symmetric structures, Math. Methods Appl. Sci., 33, 469-472 (2010) · Zbl 1190.34010
[38] Rabinovich, VS; Urbano-Altamirano, F., Application of the SPPS method to the one-dimensional quantum scattering, Communications in Mathematical Analysis, 17, 2, 295-310 (2014) · Zbl 1320.81088
[39] Rabinovich, VS; Urbano-Altamirano, F., Transition matrices for quantum waveguides with impurities, Mathematical Methods in the Applied Sciences, 41, 12, 4659-4675 (2018) · Zbl 1396.81210 · doi:10.1002/mma.4920
[40] Barrera-Figueroa, V.; Rabinovich, VS, Electromagnetic field generated by a modulated moving point source in a planarly layered waveguide, Russian Journal of Mathematical Physics, 23, 2, 139-163 (2016) · Zbl 1351.78027 · doi:10.1134/S1061920816020011
[41] Lopez-Toledo, JA; Oviedo-Galdeano, H., Reflection and transmission of a Gaussian beam for an inhomogeneous layered medium using SPPS method, Journal of Electromagnetic Waves and Applications, 32, 17, 2210-2227 (2018) · doi:10.1080/09205071.2018.1503097
[42] Hernandez-Juarez, J.; Serrano, DA; Lopez-Villa, A.; Medina, A., A new methodology in the study of acoustic fields in the almost stratified ocean, Journal of Physics: Conference Series, 1221, 1, 012071 (2019)
[43] Rabinovich, VS; Hernandez-Juárez, J., Method of the spectral parameter power series in problems of underwater acoustics of the stratified ocean, Mathematical Methods in the Applied Sciences, 38, 10, 1990-1999 (2015) · Zbl 1327.76128 · doi:10.1002/mma.3197
[44] Rabinovich, VS; Hernandez-Juarez, J., Effective methods of estimates of acoustic fields in the ocean generated by moving sources, Applicable Analysis, 95, 1, 124-137 (2016) · Zbl 1332.76052 · doi:10.1080/00036811.2014.998655
[45] Rabinovich, VS; Hernandez-Juárez, J., Numerical estimates of acoustic fields in the ocean generated by moving airborne sources, Applicable Analysis, 96, 11, 1961-1981 (2017) · Zbl 1369.76052 · doi:10.1080/00036811.2016.1199797
[46] Khmelnytskaya, KV; Serroukh, I., The heat transfer problem for inhomogeneous materials in photoacoustic applications and spectral parameter power series, Math. Methods Appl. Sci., 36, 14, 1878-1891 (2013) · Zbl 1276.35098 · doi:10.1002/mma.2732
[47] Narahara, K., Soliton decay in composite right- and left-handed transmission lines periodically loaded with Schottky varactors, IEICE Electronics Express, 11, 23, 1-10 (2014) · doi:10.1587/elex.11.20140881
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