01.01.09 (Discrete mathematics and mathematical cybernetics)
Birth date:
26.10.1953
E-mail:
Keywords:
spectral theory of differential and integral operators; optimization theory.
Main publications:
Kornev V. V., Khromov A. P. O ravnoskhodimosti razlozhenii po sobstvennym funktsiyam integralnykh operatorov s yadrami, dopuskayuschimi razryvy proizvodnykh na diagonalyakh // Matem. sb., 2001, t. 192, # 10, s. 33–50.
Kornev V. V., Khromov A. P. O ravnoskhodimosti razlozhenii po sobstvennym funktsiyam integralnykh operatorov s yadrami, dopuskayuschimi razryvy proizvodnykh na diagonalyakh // Dokl. RAN, 2001, t. 379, # 6, s. 741–744.
Kornev V. V. Korrektnost lineino-vypukloi zadachi optimalnogo upravleniya s zakreplennym pravym kontsom // Teoriya funktsii i priblizhenii: Trudy 3-i Saratovskoi zimnei shkoly, 1988, ch. 2, s. 105–107.
Kornev V. V. Printsip maksimuma dlya gladko-vypuklykh zadach so smeshannymi ogranicheniyami // Teoriya funktsii i priblizhenii: Trudy 5-i Saratovskoi zimnei shkoly, 1996, ch. 2.
V. V. Kornev, A. P. Khromov, “Classical solution of the mixed problem for a homogeneous wave equation with fixed endpoints”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 172 (2019), 119–133
A. P. Khromov, V. V. Kornev, “Classical and generalized solutions of a mixed problem for a nonhomogeneous wave equation”, Zh. Vychisl. Mat. Mat. Fiz., 59:2 (2019), 286–300; Comput. Math. Math. Phys., 59:2 (2019), 275–289
V. V. Kornev, A. P. Khromov, “A mixed problem for an inhomogeneous wave equation with a summable potential”, Zh. Vychisl. Mat. Mat. Fiz., 57:10 (2017), 1692–1707; Comput. Math. Math. Phys., 57:10 (2017), 1666–1681
V. V. Kornev, A. P. Khromov, “Resolvent approach to Fourier method in a mixed problem for non-homogeneous wave equation”, Izv. Saratov Univ. Math. Mech. Inform., 16:4 (2016), 403–413
V. V. Kornev, A. P. Khromov, “A resolvent approach in the Fourier method for the wave equation: The non-selfadjoint case”, Zh. Vychisl. Mat. Mat. Fiz., 55:7 (2015), 1156–1167; Comput. Math. Math. Phys., 55:7 (2015), 1138–1149
V. V. Kornev, A. P. Khromov, “Resolvent approach to the Fourier method in a mixed problem for the wave equation”, Zh. Vychisl. Mat. Mat. Fiz., 55:4 (2015), 621–630; Comput. Math. Math. Phys., 55:4 (2015), 618–627
V. V. Kornev, A. P. Khromov, “Dirac system with undifferentiable potential and antiperiodic boundary conditions”, Izv. Saratov Univ. Math. Mech. Inform., 13:3 (2013), 28–35
V. V. Kornev, “On Convergence of Expansions in Eigen Functions of Integral Operators with Discontinuous Kernel”, Izv. Saratov Univ. Math. Mech. Inform., 13:1(2) (2013), 59–62
2012
10.
M. Sh. Burlutskaya, V. V. Kornev, A. P. Khromov, “Dirac system with non-differentiable potential and periodic boundary conditions”, Zh. Vychisl. Mat. Mat. Fiz., 52:9 (2012), 1621–1632
V. V. Kornev, A. P. Khromov, “Operator integration with an involution having a power singularity”, Izv. Saratov Univ. Math. Mech. Inform., 8:4 (2008), 18–33
V. V. Kornev, “Absolute and Uniform Convergence of Eigenfunction Expansions of Integral Operators with Kernels Admitting Derivative Discontinuities on the Diagonals”, Mat. Zametki, 81:5 (2007), 713–723; Math. Notes, 81:5 (2007), 638–648
2005
13.
V. V. Kornev, A. P. Khromov, “On the absolute convergence of expansions in eigenfunctions of differential and integral operators”, Dokl. Akad. Nauk, 400:3 (2005), 304–308
14.
V. V. Kornev, A. P. Khromov, “Absolute convergence of expansions in eigen- and adjoint functions of
an integral operator with a variable limit of integration”, Izv. RAN. Ser. Mat., 69:4 (2005), 59–74; Izv. Math., 69:4 (2005), 703–717
V. V. Kornev, A. P. Khromov, “Equiconvergence of expansions in eigenfunctions of integral operators with kernels that can have discontinuities on the diagonals”, Mat. Sb., 192:10 (2001), 33–50; Sb. Math., 192:10 (2001), 1451–1469
S. I. Dudov, V. V. Kornev, V. S. Rykhlov, S. P. Sidorov, V. A. Khalova, “Avgust P. Khromov. Galina V. Khromova. To the 90th birthday anniversary”, Izv. Saratov Univ. Math. Mech. Inform., 25:4 (2025), 600–606
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