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, N. B. Engibaryan, “Convolution equations and nonlinear functional equations”, J. Soviet Math., 36:6 (1987), 745–791
2.
L. G. Arabadzhyan, A. S. Khachatryan, “A class of integral equations of convolution type”, Sb. Math., 198:7 (2007), 949–966
3.
L. G. Arabadzhyan, “An integral equation of transport theory in an inhomogeneous medium”, Differ. Uravn., 23:9 (1987), 1618–1622
4.
N. B. Engibaryan, L. G. Arabadzhyan, “Some factorization problems for integral operators of convolution type”, Differ. Equ., 26:8 (1990), 1069–1078
5.
N. B. Engibaryan, L. G. Arabadzhyan, “Systems of Wiener–Hopf integral equations, and nonlinear factorization equations”, Math. USSR-Sb., 52:1 (1985), 181–208
6.
L. G. Arabadzhyan, “On a conservative integral equation with two kernels”, Math. Notes, 62:3 (1997), 271–277
7.
L. G. Arabadzhyan, “Homogeneous Wiener–Hopf Double Integral Equation with Symmetric Kernel in the Conservative Case”, Math. Notes, 106:1 (2019), 3–10
8.
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
9.
L. G. Arabadzhyan, “An Infinite Algebraic System in the Irregular Case”, Math. Notes, 89:1 (2011), 1–10
10.
L. G. Arabadzhyan, “The Wiener–Hopf Integral Equation in the Supercritical Case”, Math. Notes, 76:1 (2004), 10–17
11.
L. G. Arabadzhyan, N. B. Engibaryan, “Factorization of Wiener-Hopf multiple integral operators”, Dokl. Akad. Nauk SSSR, 291:1 (1986), 11–14
12.
L. G. Arabadzhyan, “Factorization of Wiener–Hopf conservative integral operators”, Math. Notes, 46:1 (1989), 501–506
13.
L. G. Arabadzhyan, “On the Volterra Factorization of the Wiener–Hopf Integral Operator”, Math. Notes, 110:2 (2021), 161–166
14.
L.G.Arabadzhyan, “Integralnoe uravnenie Vinera-Khopfa s nesimmetricheskim yadrom v zakriticheskom sluchae”, Izvestiya NAN Armenii, Matematika, 54:5 (2019g), 11-26
1
15.
L. G. Arabadzhyan, “Factorization of Conservative Integral Convolution Type Operators with Slowly Decaying Kernels”, Differ. Equ., 38:3 (2002), 430–433
16.
L. G. Arabadzhyan, “Systems of renewal integral equations”, Differ. Uravn., 20:6 (1984), 1050–1055
17.
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)
18.
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
19.
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
20.
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
21.
L.G.Arabadzhyan, N.B.Engibaryan, “Integralnye uravneniya Vinera-Khopfa so vpolne monotonnymi yadrami”, Izvestiya Akademii nauk Armyanskoi SSR, 25:2 (1990), 135-155
22.
L.G.Arabadzhyan. A.G.Arabadzhyan, “Ob asimptotike resheniya odnorodnogo konservativnogo uravneniya Vinera-Khopfa”, Izvestiya Akademii nauk Armenii, 25:4 (1990), 374-384
23.
L.G.Arabadzhyan, “O suschestvovanii netrivialnykh reshenii nekotorykh lineinykh i nelineinykh uravnenii tipa svertki”, Ukrainskii matematicheskii zhurnal, 41:12 (1989), 1587-1595
24.
L.G.Arabadzhyan, “O konservativnom uravnenii Vinera-Khopfa”, Izvestiya Akademii nauk Armyanskoi SSR, 16:1 (1981), 65-80
25.
L. G. Arabadzhyan, “The Wiener-Hopf homogeneous two-dimention equation with a symmetric kernel in the conservative case.”, Mat. Zametki (to appear)
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