A.Kh. Khachatryan, Kh.A. Khachatryan, “Ob odnom integro-differentsialnom uravnenii v zadache raspredeleniya bogatstva strany”, Ekonomika i matematicheskie metody, 45:4 (2009), 84–96
A. Kh. Khachatryan, N. B. Yengibaryan., “On a problem of multiple resonance scattering of Gamma Ray Quanta.”, J. Q. S . R. T. (USA), 46:6 ((1991),), 565–575
A. Kh. Khachatryan, K. V. Papoyan., “On one convolution type integral equation in kinetic theory of gases.”, Journal of contemporary mathematical analysis,, 32:1 (1997), 84–92
A. Kh. Khachatryan, A.N.Afyan ., “On analytical and numerical solutions to the radiative transfer problem with a reflecting surface.”, J. Computational mathematics and Mathematical Physics., 41:8 (2001), 1158–1168
A. Kh. Khachatryan, Kh. A. Khachatryan, H. S. Petrosyan, “On the constructive solvability of one class nonlinear integral equations of the Hammerstein type on the whole line”, Izv. Vyssh. Uchebn. Zaved. Mat., 2025, no. 3, 89–106; Russian Math. (Iz. VUZ), 69:3 (2025), 77–93
2024
2.
A. Kh. Khachatryan, Kh. A. Khachatryan, H. S. Petrosyan, “О конструктивной разрешимости одной начально–краевой задачи для нелинейного интегро–дифференциального уравнения второго порядка на полуоси”, Tr. Mosk. Mat. Obs., 85:1 (2024), 39–58
3.
A. Kh. Khachatryan, Kh. A. Khachatryan, H. S. Petrosyan, “Questions of existence, absence, and uniqueness of a solution to one class of nonlinear integral equations on the whole line with an operator of Hammerstein–Stieltjes type”, Trudy Inst. Mat. i Mekh. UrO RAN, 30:1 (2024), 249–269
A. Kh. Khachatryan, Kh. A. Khachatryan, H. S. Petrosyan, “On nonlinear convolution-type integral equations in the theory
of $p$-adic strings”, TMF, 216:1 (2023), 184–200; Theoret. and Math. Phys., 216:1 (2023), 1068–1081
A. Kh. Khachatryan, Kh. A. Khachatryan, A. Zh. Narimanyan, “Existence and uniqueness result for reaction-diffusion model of diffusive population dynamics”, Tr. Mosk. Mat. Obs., 83:2 (2022), 219–239; Trans. Moscow Math. Soc., 83 (2022), 183–200
6.
A. G. Sergeev, A. Kh. Khachatryan, Kh. A. Khachatryan, “Mathematical model of the spread of a pandemic like COVID-19”, Tr. Mosk. Mat. Obs., 83:1 (2022), 63–75; Trans. Moscow Math. Soc., 83 (2022), 55–65
2021
7.
A. Kh. Khachatryan, Kh. A. Khachatryan, H. S. Petrosyan, “Asymptotic behavior of a solution for one class of nonlinear integro-differential equations in the income distribution problem”, Trudy Inst. Mat. i Mekh. UrO RAN, 27:1 (2021), 188–206
A. Kh. Khachatryan, Kh. A. Khachatryan, “On solvability of one infinite system of nonlinear functional equations in the theory of epidemics”, Eurasian Math. J., 11:2 (2020), 52–64
A. Kh. Khachatryan, Kh. A. Khachatryan, “On the Solvability of Some Nonlinear Integral Equations in Problems of Epidemic Spread”, Trudy Mat. Inst. Steklova, 306 (2019), 287–303; Proc. Steklov Inst. Math., 306 (2019), 271–287
A. Kh. Khachatryan, Kh. A. Khachatryan, “A uniqueness theorem for a nonlinear singular integral equation arising in $p$-adic string theory”, Proceedings of the YSU, Physical and Mathematical Sciences, 53:1 (2019), 17–22
A. Kh. Khachatryan, Kh. A. Khachatryan, “Solvability of a nonlinear integral equation in dynamical string
theory”, TMF, 195:1 (2018), 44–53; Theoret. and Math. Phys., 195:1 (2018), 529–537
A. Kh. Khachatryan, Kh. A. Khachatryan, “A one-parameter family of positive solutions of the non-linear stationary Boltzmann equation (in the framework of a modified model)”, Uspekhi Mat. Nauk, 72:3(435) (2017), 191–192; Russian Math. Surveys, 72:3 (2017), 571–573
A. Kh. Khachatryan, V. M. Kakhktsyan, “On the solvability of the transfer equation coupled with Boltzmann equation for two-level atoms”, Sib. Èlektron. Mat. Izv., 14 (2017), 1041–1049
14.
A. Kh. Khachatryan, A. A. Khachatryan, “Some solvability problems for the Boltzmann equation in the framework of the Shakhov model”, TMF, 191:3 (2017), 441–455; Theoret. and Math. Phys., 181:3 (2017), 856–869
A. Kh. Khachatryan, Kh. A. Khachatryan, “Some problems concerning the solvability of the nonlinear stationary Boltzmann equation in the framework of the BGK model”, Tr. Mosk. Mat. Obs., 77:1 (2016), 103–130; Trans. Moscow Math. Soc., 77 (2016), 87–106
A. Kh. Khachatryan, “On the determination of optimal nodes and weight factors for the solution of completely incoherent scattering problem”, Sib. Èlektron. Mat. Izv., 13 (2016), 592–598
17.
A. Kh. Khachatryan, Kh. A. Khachatryan, “Solvability of a nonlinear model Boltzmann equation in the problem of a plane shock wave”, TMF, 189:2 (2016), 239–255; Theoret. and Math. Phys., 189:2 (2016), 1609–1623
A. Kh. Khachatryan, Kh. A. Khachatryan, “Solvability of a nonlinear integral equation arising in kinetic theory”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2015, no. 2, 36–41
19.
Aghavard Kh. Khachatryan, Khachatur A. Khachatryan, Tigran H. Sardaryan, “On solvability of one class of nonlinear integral-differential equation with Hammerstein non-compact operator arising in a theory of income distribution”, J. Sib. Fed. Univ. Math. Phys., 8:4 (2015), 416–425
A. Kh. Khachatryan, Kh. A. Khachatryan, T. H. Sardaryan, “On One Nonlinear Boundary-Value Problem in Kinetic Theory of Gases”, Zh. Mat. Fiz. Anal. Geom., 10:3 (2014), 320–327
21.
A. Kh. Khachatryan, Kh. A. Khachatryan, “Qualitative difference between solutions of stationary model Boltzmann equations in the linear and nonlinear cases”, TMF, 180:2 (2014), 272–288; Theoret. and Math. Phys., 180:2 (2014), 990–1004
N. B. Engibaryan, A. Kh. Khachatryan, “Solvability of an integrodifferential equation arising in the nonlocal interaction of waves”, Zh. Vychisl. Mat. Mat. Fiz., 54:5 (2014), 834–844; Comput. Math. Math. Phys., 54:5 (2014), 834–844
V. M. Kakhktsyan, A. Kh. Khachatryan, “Analytical-numerical solution of a nonlinear integrodifferential equation in econometrics”, Zh. Vychisl. Mat. Mat. Fiz., 53:7 (2013), 1108–1112; Comput. Math. Math. Phys., 53:7 (2013), 933–936
A. Kh. Khachatryan, Kh. A. Khachatryan, “Qualitative difference between solutions for a model of the Boltzmann equation in the linear and nonlinear cases”, TMF, 172:3 (2012), 497–504; Theoret. and Math. Phys., 172:3 (2012), 1315–1320
A. Kh. Khachatryan, Kh. A. Khachatryan, “On solvability of one class of Hammerstein nonlinear integral equations”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2010, no. 2, 67–83
A. Kh. Khachatryan, Kh. A. Khachatryan, “A nonlinear integral equation of Hammerstein type with a noncompact operator”, Mat. Sb., 201:4 (2010), 125–136; Sb. Math., 201:4 (2010), 595–606
A. Kh. Khachatryan, Kh. A. Khachatryan, “On the solvability of a nonlinear integro-differential equation arising in the income distribution problem”, Zh. Vychisl. Mat. Mat. Fiz., 50:10 (2010), 1793–1802; Comput. Math. Math. Phys., 50:10 (2010), 1702–1711
Ts. È. Terdzhyan, A. Kh. Khachatryan, “About one system of integral equations in kinetic theory”, Zh. Vychisl. Mat. Mat. Fiz., 49:4 (2009), 715–721; Comput. Math. Math. Phys., 49:4 (2009), 691–697
N. B. Engibaryan, A. Kh. Khachatryan, “Integro-differential equation of non-local wave interaction”, Mat. Sb., 198:6 (2007), 89–106; Sb. Math., 198:6 (2007), 839–855
S. M. Andriyan, A. Kh. Khachatryan, “On one problem in physical kinetics”, Zh. Vychisl. Mat. Mat. Fiz., 45:11 (2005), 2061–2069; Comput. Math. Math. Phys., 45:11 (2005), 1982–1989
A. Kh. Khachatryan, S. M. Andriyan, “On a rarefied gas velocity shock in the linearized BGK model of Boltzmann equation”, Mat. Model., 16:2 (2004), 31–42
A. N. Afyan, A. Kh. Khachatryan, “On analytical and numerical solutions to the radiative transfer problem with a reflecting surface”, Zh. Vychisl. Mat. Mat. Fiz., 41:8 (2001), 1217–1228; Comput. Math. Math. Phys., 41:8 (2001), 1158–1168
N. B. Engibaryan, A. Kh. Khachatryan, “Exact linearization of the sliding problem for a dilute gas in the Bhatnagar–Gross–Krook model”, TMF, 125:2 (2000), 339–342; Theoret. and Math. Phys., 125:2 (2000), 1589–1592
