01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date:
24.03.1949
E-mail:
UDC:
517, 517.9, 517.968, 517.968.2
Main publications:
L. G. Arabadzhyan, G. L. Arabajyan, “Nontrivial solvability of the homogeneous Wiener–Hopf multiple integral equation in the conservative case and the Peierls equation”, Theoret. and Math. Phys., 204:1 (2020), 957–965
L.G.Arabadzhyan, “Integralnoe uravnenie Vinera-Khopfa s nesimmetricheskim yadrom v zakriticheskom sluchae”, Izvestiya NAN Armenii, Matematika, 54:5 (2019g), 11-26
L. G. Arabadzhyan, “Homogeneous Wiener–Hopf Double Integral Equation with Symmetric Kernel in the Conservative Case”, Math. Notes, 106:1 (2019), 3–10
L. G. Arabadzhyan, “The Wiener–Hopf Integral Equation in the Supercritical Case”, Math. Notes, 76:1 (2004), 10–17
L. G. Arabadzhyan, “On a conservative integral equation with two kernels”, Math. Notes, 62:3 (1997), 271–277
N. B. Engibaryan, L. G. Arabadzhyan, “Some factorization problems for integral operators of convolution type”, Differ. Equ., 26:8 (1990), 1069–1078
L. G. Arabadzhyan, N. B. Engibaryan, “Factorization of Wiener-Hopf multiple integral operators”, Dokl. Akad. Nauk SSSR, 291:1 (1986), 11–14
L. G. Arabadzhyan, N. B. Engibaryan, “Convolution equations and nonlinear functional equations”, J. Soviet Math., 36:6 (1987), 745–791
N. B. Engibaryan, L. G. Arabadzhyan, “Systems of Wiener–Hopf integral equations, and nonlinear factorization equations”, Math. USSR-Sb., 52:1 (1985), 181–208
L.G.Arabadzhyan, “O konservativnom uravnenii Vinera-Khopfa”, Izvestiya Akademii nauk Armyanskoi SSR, 16:1 (1981), 65-80
L. G. Arabadzhyan, “The Wiener-Hopf homogeneous two-dimention equation with a symmetric kernel in the conservative case.”, Mat. Zametki (to appear)
2024
2.
L. G. Arabadzhyan, Tr. Mosk. Mat. Obs., 85, no. 2, MCCME, M., 2024, 283–292
2022
3.
L.G.Arabajyan, “On Volterra and Wiener-Hopf integral operators and on corresponding
equation of the first kind”, Journal of Contemporary mathematical analysis, 2022, no. 5, 268-278 (to appear)
2021
4.
L. G. Arabadzhyan, “On the Volterra Factorization of the Wiener–Hopf Integral Operator”, Math. Notes, 110:2 (2021), 161–166
2020
5.
L. G. Arabadzhyan, G. L. Arabajyan, “Nontrivial solvability of the homogeneous Wiener–Hopf multiple integral equation in the conservative case and the Peierls equation”, Theoret. and Math. Phys., 204:1 (2020), 957–965
2019
6.
L. G. Arabadzhyan, “Homogeneous Wiener–Hopf Double Integral Equation with Symmetric Kernel in the Conservative Case”, Math. Notes, 106:1 (2019), 3–10
7.
L.G.Arabadzhyan, “Integralnoe uravnenie Vinera-Khopfa s nesimmetricheskim yadrom v zakriticheskom sluchae”, Izvestiya NAN Armenii, Matematika, 54:5 (2019g), 11-26
1
2018
8.
L.G.Arabadzyan and S.A.Khachatryan, “On a homogeneous integral equation with two kernels”, Journal of contemprorary mathematical analysis, 53:1 (2018), 42-47
2011
9.
L. G. Arabadzhyan, “An Infinite Algebraic System in the Irregular Case”, Math. Notes, 89:1 (2011), 1–10
2007
10.
L. G. Arabadzhyan, A. S. Khachatryan, “A class of integral equations of convolution type”, Sb. Math., 198:7 (2007), 949–966
2004
11.
L. G. Arabadzhyan, “The Wiener–Hopf Integral Equation in the Supercritical Case”, Math. Notes, 76:1 (2004), 10–17
2002
12.
L. G. Arabadzhyan, “Factorization of Conservative Integral Convolution Type Operators with Slowly Decaying Kernels”, Differ. Equ., 38:3 (2002), 430–433
1999
13.
L.G.Arabajyan, “Solvability of a Volterra type integral eqution on the half-line”, Izvestiya Natsionalnoi Akademii Nauk Armenii,Matematika, 34:2 (1999), 75-79
1997
14.
L. G. Arabadzhyan, “On a conservative integral equation with two kernels”, Math. Notes, 62:3 (1997), 271–277
15.
L.G.Arabajian, “On existence of nontrivial solutions of certain integral equations of Hammerstein type”, Izvestiya Natsionalnoi Akademii Nauk Armenii,Matematika, 32:1 (1997), 1-8
1990
16.
N. B. Engibaryan, L. G. Arabadzhyan, “Some factorization problems for integral operators of convolution type”, Differ. Equ., 26:8 (1990), 1069–1078
17.
L.G.Arabadzhyan, N.B.Engibaryan, “Integralnye uravneniya Vinera-Khopfa so vpolne monotonnymi yadrami”, Izvestiya Akademii nauk Armyanskoi SSR, 25:2 (1990), 135-155
18.
L.G.Arabadzhyan. A.G.Arabadzhyan, “Ob asimptotike resheniya odnorodnogo konservativnogo uravneniya Vinera-Khopfa”, Izvestiya Akademii nauk Armenii, 25:4 (1990), 374-384
1989
19.
L. G. Arabadzhyan, “Factorization of Wiener–Hopf conservative integral operators”, Math. Notes, 46:1 (1989), 501–506
20.
L.G.Arabadzhyan, “O suschestvovanii netrivialnykh reshenii nekotorykh lineinykh i nelineinykh uravnenii tipa svertki”, Ukrainskii matematicheskii zhurnal, 41:12 (1989), 1587-1595
1987
21.
L. G. Arabadzhyan, “An integral equation of transport theory in an inhomogeneous medium”, Differ. Uravn., 23:9 (1987), 1618–1622
1986
22.
L. G. Arabadzhyan, N. B. Engibaryan, “Factorization of Wiener-Hopf multiple integral operators”, Dokl. Akad. Nauk SSSR, 291:1 (1986), 11–14
1984
23.
L. G. Arabadzhyan, “Systems of renewal integral equations”, Differ. Uravn., 20:6 (1984), 1050–1055
1987
24.
L. G. Arabadzhyan, N. B. Engibaryan, “Convolution equations and nonlinear functional equations”, J. Soviet Math., 36:6 (1987), 745–791
1985
25.
N. B. Engibaryan, L. G. Arabadzhyan, “Systems of Wiener–Hopf integral equations, and nonlinear factorization equations”, Math. USSR-Sb., 52:1 (1985), 181–208
1981
26.
L.G.Arabadzhyan, “O konservativnom uravnenii Vinera-Khopfa”, Izvestiya Akademii nauk Armyanskoi SSR, 16:1 (1981), 65-80
2024
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