01.01.02 (Differential equations, dynamical systems, and optimal control)
E-mail:
Main publications:
A. Kh. Khachatryan, Kh. A. Khachatryan, H. S. Petrosyan, “On Positive Bounded Solutions of One Class of Nonlinear Integral Equations with the Hammerstein–Nemytskii Operator”, Differential Equations, 57:6 (2021), 768–779
Kh.A. Khachatryan, H.S. Petrosyan., “On Solvability of a Class of Multidimensional Integral Equations in the Mathematical Theory of Geographic Distribution of an Epidemic”, Journal of Contemporary Mathematical Analysis, 56:3 (2021), 143–157
Kh. A. Khachatryan,H. S. Petrosyan, “Solvability of a Nonlinear Problem in Open-Closed p-Adic String Theory”, Differential Equations, 56 (2020), 1371–1378
Kh. A. Khachatryan,H. S. Petrosyan, “On a Class of Integral Equations with Convex Nonlinearity on Semiaxis”, Journal of Contemporary Mathematical Analysis, 55 (2020), 42–53
Kh.A. Khachatryan, A.S. Petrosyan, “O razreshimosti odnogo klassa nelineinykh integralnykh uravnenii na poluosi s nekompaktnym operatorom tipa Gammershteina-Stiltesa”, Ukrainskii Matematicheskii Zhurnal, 67:1 (2015), 106–127
Kh. A. Khachatryan, H. S. Petrosyan, “An iterative method for solving one class of non-linear integral equations
with Nemytskii operator on the positive semi-axis”, Izv. RAN. Ser. Mat., 88:4 (2024), 168–203; Izv. Math., 88:4 (2024), 760–793
2.
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
3.
Kh. A. Khachatryan, H. S. Petrosyan, “On qualitative properties of the solution of a boundary value
problem for a system of nonlinear integral equations”, TMF, 218:1 (2024), 168–186; Theoret. and Math. Phys., 218:1 (2024), 145–162
4.
H. S. Petrosyan, Kh. A. Khachatryan, “On the solvability of an infinite system of algebraic equations with monotone and concave nonlinearity”, Vladikavkaz. Mat. Zh., 26:2 (2024), 82–94
2023
5.
Kh. A. Khachatryan, H. S. Petrosyan, A. R. Hakobyan, “On some systems of nonlinear integral equations on the whole axis with monotonous Hammerstein–Volterra type operators”, Eurasian Math. J., 14:3 (2023), 35–53
6.
Khachatur A. Khachatryan, Haykanush S. Petrosyan, “Existence and uniqueness theorems for one infinite system of nonlinear algebraic equations”, Bulletin of Irkutsk State University. Series Mathematics, 44 (2023), 44–54
Kh. A. Khachatryan, H. S. Petrosyan, “On non-trivial solvability of one system of non-linear integral equations on the real axis”, Izv. RAN. Ser. Mat., 87:5 (2023), 215–231; Izv. Math., 87:5 (2023), 1062–1077
8.
Kh. A. Khachatryan, H. S. Petrosyan, “On a class of nonlinear integral equations of the Hammerstein–Volterra type on a semiaxis”, Izv. Vyssh. Uchebn. Zaved. Mat., 2023, no. 1, 75–86; Russian Math. (Iz. VUZ), 67:1 (2023), 64–73
9.
Kh. A. Khachatryan, H. S. Petrosyan, “Однопараметрическое семейство неограниченных положительных решений для одного класса нелинейных трехмерных интегральных уравнений с оператором типа Гаммерштейна–Немыцкого”, Tr. Mosk. Mat. Obs., 84:1 (2023), 37–53
10.
H. S. Petrosyan, Kh. A. Khachatryan, “Uniqueness of the Solution of a Class of Integral Equations with Sum-Difference. Kernel and with Convex Nonlinearity
on the Positive Half-Line”, Mat. Zametki, 113:4 (2023), 529–543; Math. Notes, 113:4 (2023), 512–524
Kh. A. Khachatryan, H. S. Petrosyan, M. H. Avetisyan, “Existence and uniqueness theorems for one system of integral equations with two nonlinearities”, Trudy Inst. Mat. i Mekh. UrO RAN, 29:1 (2023), 202–218
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
Kh. A. Khachatryan, H. S. Petrosyan, “On the solvability of a class of nonlinear two-dimensional integral equations Hammerstein–Nemytskii type on the plane”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 27:3 (2023), 446–461
2022
14.
Kh. A. Khachatryan, H. S. Petrosyan, S. M. Andriyan, “On the solubility of a class of two-dimensional integral equations on a quarter plane with monotone nonlinearity”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2022, no. 2, 19–38
15.
Kh. A. Khachatryan, H. S. Petrosyan, “Asymptotic behavior of the solution for one class of nonlinear integral equations of Hammerstein type on the whole axis”, CMFD, 68:2 (2022), 376–391
16.
Kh. A. Khachatryan, H. S. Petrosyan, “On summable solutions of a class of nonlinear integral equations on the whole line”, Izv. RAN. Ser. Mat., 86:5 (2022), 157–168; Izv. Math., 86:5 (2022), 980–991
17.
Kh. A. Khachatryan, H. S. Petrosyan, “On the solvability of a class of nonlinear Hammerstein integral equations on the semiaxis”, Izv. Saratov Univ. Math. Mech. Inform., 22:2 (2022), 169–179
18.
Kh. A. Khachatryan, H. S. Petrosyan, “On a class of nonlinear integro-differential equations”, Mat. Tr., 25:1 (2022), 192–220
19.
Kh. A. Khachatryan, H. S. Petrosyan, “On the solvability of a system of nonlinear integral equations with a monotone Hammerstein type operator”, Trudy Inst. Mat. i Mekh. UrO RAN, 28:2 (2022), 201–214
Kh. A. Khachatryan, H. S. Petrosyan, “Questions of the existence and uniqueness of the solution of one class of nonlinear integral equations on the whole line”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 26:3 (2022), 446–479
Kh. A. Khachatryan, H. S. Petrosyan, “On the solvability of a class of nonlinear Urysohn integral equations on the positive half-line”, Bulletin of Irkutsk State University. Series Mathematics, 36 (2021), 57–68
22.
Kh. A. Khachatryan, H. S. Petrosyan, “Solvability of a certain system of singular integral equations with convex nonlinearity on the positive half-line”, Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 1, 31–51; Russian Math. (Iz. VUZ), 65:1 (2021), 27–46
Kh. A. Khachatryan, H. S. Petrosyan, “Alternating bounded solutions of a class of nonlinear two-dimensional convolution-type integral equations”, Tr. Mosk. Mat. Obs., 82:2 (2021), 313–327; Trans. Moscow Math. Soc., 82 (2021), 259–271
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
H. S. Petrosyan, Ts. È. Terdzhyan, Kh. A. Khachatryan, “Единственность решения одной системы интегральных уравнений на полуоси с выпуклой нелинейностью”, Mat. Tr., 23:2 (2020), 187–203
Kh. A. Khachatryan, H. S. Petrosyan, “On the construction of an integrable solution to one class of nonlinear integral equations of Hammerstein-Nemytskii type on the whole axis”, Trudy Inst. Mat. i Mekh. UrO RAN, 26:2 (2020), 278–287
Kh. A. Khachatryan, H. S. Petrosyan, “On the Solvability of a Class of Nonlinear Hammerstein–Stieltjes Integral Equations on the Whole Line”, Trudy Mat. Inst. Steklova, 308 (2020), 253–264; Proc. Steklov Inst. Math., 308 (2020), 238–249
Kh. A. Khachatryan, H. S. Petrosyan, “On positive solutions of a boundary value problem for a nonlinear integro-differential equation on a semi-infinite interval”, Vladikavkaz. Mat. Zh., 22:2 (2020), 70–82
29.
Kh. A. Khachatryan, H. S. Petrosyan, “On alternating and bounded solutions of one class of integral equations on the entire axis with monotonic nonlinearity”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 24:4 (2020), 644–662
30.
Kh. A. Khachatryan, H. S. Petrosyan, “On the qualitative properties of the solution of a nonlinear boundary value problem in the dynamic theory of $p$-adic strings”, Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 16:4 (2020), 423–436
Kh. A. Khachatryan, H. S. Petrosyan, “One initial boundary-value problem for integro-differential equation of the second order with power nonlinearity”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 6, 48–62; Russian Math. (Iz. VUZ), 62:6 (2018), 43–55
Kh. A. Khachatryan, H. S. Petrosyan, M. H. Avetisyan, “Solvability issues for a class of convolution type nonlinear integral equations in $\mathbb {R}^n$”, Trudy Inst. Mat. i Mekh. UrO RAN, 24:3 (2018), 247–262
Kh. A. Khachatryan, H. S. Petrosyan, A. A. Sisakyan, “On the nontrivial solvability of one class of nonlinear integral equations of the Urysohn type”, Trudy Inst. Mat. i Mekh. UrO RAN, 23:2 (2017), 266–273
Kh. A. Khachatryan, H. S. Petrosyan, “One parameter families of positive solutions of some classes of convolution type nonlinear integral equations”, Sib. J. Pure and Appl. Math., 17:1 (2017), 91–108; J. Math. Sci., 231:2 (2018), 153–167
H. S. Petrosyan, “On solution of a class of Hammerstein type nonlinear integral equations on the positive half-line in the critical case”, Proceedings of the YSU, Physical and Mathematical Sciences, 2014, no. 3, 31–39
2013
36.
Khachatur A. Khachatryan, Tsolak E. Terdjyan, Haykanush S. Petrosyan, “On the solvability of one class of boundary-value problems for non-linear integro-differential equation in kinetic theory of plazma”, J. Sib. Fed. Univ. Math. Phys., 6:4 (2013), 451–461
Contact us: