integral equations, partial integral equations, numerical methods of solving equations with partial integrals
Subject:
partial integral operators and equations
Main publications:
Kalitvin A.S., Kalitvin V.A., “Lineinye operatory i uravneniya s chastnymi integralami”, Sovremennaya matematika. Fundamentalnye napravleniya, 65:3 (2019), 390-433
Kalitvin A.S., Kalitvin V.A., “Linear Operators and Equations with Partial Integrals”, Journal of Mathematical Sciences, 65:3 (2022), 390-433
Kalitvin, V.A., Lapshina, M.G., “Radon–Kipriyanov Transform of Laplace Series by Weight Spherical Functions”, Lobachevskii J Math, 44 (2023), 3323–3330
Kalitvin V.A., “On Algorithm for the Numerical Solution of Linear Volterra Equations with Partial Integrals and Its Implementation”, 2022 4th International Conference on Control Systems, Mathematical Modeling, Automation and Energy Efficiency (SUMMA), 2022, 164-166
Kalitvin V.A., “Fredholm Property of Linear Equations with Partial Integrals in the Space of Integrable Functions”, Journal Of Mathematical Sciences, 249:6 (2020), 967-973
L. N. Lyakhov, V. A. Kalitvin, M. G. Lapshina, “On the transformation dual to the Radon–Kipriyanov transformation”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 232 (2024), 70–77
2019
2.
A. S. Kalitvin, V. A. Kalitvin, “Linear operators and equations with partial integrals”, CMFD, 65:3 (2019), 390–433
A. S. Kalitvin, V. A. Kalitvin, N. I. Trusova, “On the systems of Romanovskij type linear integral equations with partial integrals”, Taurida Journal of Computer Science Theory and Mathematics, 2018, no. 3, 71–81
2017
4.
A. S. Kalitvin, V. A. Kalitvin, “On the operators with partial integrals in the function spaces of two variables”, Taurida Journal of Computer Science Theory and Mathematics, 2017, no. 3, 17–27
2016
5.
A. S. Kalitvin, V. A. Kalitvin, “On linear operators with improper partial integrals”, Applied Mathematics & Physics, 43:13 (2016), 24–29
6.
A. S. Kalitvin, V. A. Kalitvin, N. I. Trusova, “Systems of romanovskij integral equations with partial integrals”, Applied Mathematics & Physics, 42:6 (2016), 45–49
7.
A. S. Kalitvin, V. A. Kalitvin, “About one class of mathematical models with partial integrals and with a multiparameter”, Applied Mathematics & Physics, 42:6 (2016), 40–44
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