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.
A. A. Davydov, Kh. A. Khachatryan, “Stationary states in population dynamics with migration and distributed offspring”, CMFD, 69:4 (2023), 578–587
6.
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
7.
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
9.
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
10.
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
11.
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, V. G. Dilanyan, “The solvability of an infinite system of nonlinear algebraic equations with Toeplitz matrix”, Proceedings of the YSU, Physical and Mathematical Sciences, 57:3 (2023), 69–78
15.
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
16.
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
17.
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
18.
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
19.
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
20.
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
21.
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
22.
Kh. A. Khachatryan, H. S. Petrosyan, “On a class of nonlinear integro-differential equations”, Mat. Tr., 25:1 (2022), 192–220
23.
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, A. R. Hakobyan, “On nontrivial solvability of one class of nonlinear integral equations with conservative kernel on the positive semi-axis”, Proceedings of the YSU, Physical and Mathematical Sciences, 56:1 (2022), 7–18
25.
M. H. Avetisyan, Kh. A. Khachatryan, “On the qualitative properties of a solution for one system of infinite nonlinear algebraic equations”, Vladikavkaz. Mat. Zh., 24:4 (2022), 5–18
26.
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
28.
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
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
Kh. A. Khachatryan, “Existence and uniqueness of solution of a certain boundary-value problem for a convolution integral equation with monotone non-linearity”, Izv. RAN. Ser. Mat., 84:4 (2020), 198–207; Izv. Math., 84:4 (2020), 807–815
Kh. A. Khachatryan, “Solvability of some nonlinear boundary value problems for singular integral equations of convolution type”, Tr. Mosk. Mat. Obs., 81:1 (2020), 3–40; Trans. Moscow Math. Soc., 81:1 (2020), 1–31
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
38.
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
39.
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, “The solvability of a system of nonlinear integral equations of Hammerstein type on the whole line”, Izv. Saratov Univ. Math. Mech. Inform., 19:2 (2019), 164–181
A. G. Sergeev, Kh. A. Khachatryan, “On the solvability of a class of nonlinear integral equations in the problem of a spread of an epidemic”, Tr. Mosk. Mat. Obs., 80:1 (2019), 113–131; Trans. Moscow Math. Soc., 80 (2019), 95–111
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
Kh. A. Khachatryan, “Solvability of some classes of nonlinear singular boundary value problems in the theory of $p$-adic open–closed strings”, TMF, 200:1 (2019), 106–117; Theoret. and Math. Phys., 200:1 (2016), 1015–1025
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
Kh. A. Khachatryan, S. M. Andriyan, A. A. Sisakyan, “On the solvability of a class of boundary value problems for systems of the integral equations with power nonlinearity on the whole axis”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2018, no. 2, 54–73
Kh. A. Khachatryan, “On the solubility of certain classes of non-linear integral equations
in $p$-adic string theory”, Izv. RAN. Ser. Mat., 82:2 (2018), 172–193; Izv. Math., 82:2 (2018), 407–427
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, “On the solvability of a boundary value problem in $ p$-adic string theory”, Tr. Mosk. Mat. Obs., 79:1 (2018), 117–132; Trans. Moscow Math. Soc., 2018, 101–115
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
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
S. M. Andriyan, A. K. Kroyan, Kh. A. Khachatryan, “On solvability of class of nonlinear integral equations in $p$-adic string theory”, Ufimsk. Mat. Zh., 10:4 (2018), 12–23; Ufa Math. J., 10:4 (2018), 12–23
Kh. A. Khachatryan, A. K. Kroyan, “The existence of odd solution for one boundary-value problem with power nonlinearity”, Sib. J. Pure and Appl. Math., 18:4 (2018), 88–96; J. Math. Sci., 253:3 (2021), 382–390
2017
53.
Kh. A. Khachatryan, T. H. Sardaryan, “On solvability of one class of Urysohn type nonlinear integral equation on the whole line”, Izv. Saratov Univ. Math. Mech. Inform., 17:1 (2017), 40–50
54.
Kh. A. Khachatryan, “On the solvability of one class of two-dimensional Urysohn integral equations”, Mat. Tr., 20:2 (2017), 193–205; Siberian Adv. Math., 28:3 (2018), 166–174
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
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, M. H. Avetisyan, “On solvability of an infinite nonlinear system of algebraic equations with Teoplitz–Hankel matrices”, Proceedings of the YSU, Physical and Mathematical Sciences, 51:2 (2017), 158–167
58.
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
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, 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
H. H. Azizyan, Kh. A. Khachatryan, “One-parametric family of positive solutions for a class of nonlinear discrete Hammerstein–Volterra equations”, Ufimsk. Mat. Zh., 8:1 (2016), 15–21; Ufa Math. J., 8:1 (2016), 13–19
Kh. A. Khachatryan, Ts. E. Terjyan, M. F. Broyan, “On solvability of a Hammerstein–Voltera type nonlinear system of integral equations in critical case”, Vladikavkaz. Mat. Zh., 18:4 (2016), 71–79
2015
63.
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
64.
Kh. A. Khachatryan, “Positive solubility of some classes of non-linear integral equations
of Hammerstein type on the semi-axis and on the whole line”, Izv. RAN. Ser. Mat., 79:2 (2015), 205–224; Izv. Math., 79:2 (2015), 411–430
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
K. A. Khachatryan, T. E. Terdzhyan, “On the solvability of one class of nonlinear integral equations in $L_1(0,+\infty)$”, Mat. Tr., 18:1 (2015), 190–200; Siberian Adv. Math., 25:4 (2015), 268–275
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
68.
Kh. A. Khachatryan, “On positive solutions of one class of nonlinear integral equations of Hammerstein–Nemytskiĭ type on the whole axis”, Tr. Mosk. Mat. Obs., 75:1 (2014), 1–14; Trans. Moscow Math. Soc., 75 (2014), 1–12
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
Kh. A. Khachatryan, T. H. Sardaryan, “On solvability of a class of nonlinear integral equations with Hammerstein type noncompact operator in the space $L_1(R^+)$”, Proceedings of the YSU, Physical and Mathematical Sciences, 2014, no. 3, 16–23
2013
71.
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
Kh. A. Khachatryan, “On solution of a system of Hammerstein–Nemitskii type nonlinear integral equations on whole axis”, Tr. Inst. Mat., 21:2 (2013), 154–161
Kh. A. Khachatryan, “On the solvability of an initial-boundary value problem for a nonlinear integro-differential equation with a noncompact operator of Hammerstein type”, Trudy Inst. Mat. i Mekh. UrO RAN, 19:3 (2013), 308–315
M. F. Broyan, Kh. A. Khachatryan, “On some nonlinear integral and integro-differential equations with noncompact operators on positive half-line”, Ufimsk. Mat. Zh., 5:2 (2013), 31–42; Ufa Math. J., 5:2 (2013), 31–42
Kh. A. Khachatryan, T. H. Sardaryan, “Solution of one Volterra type nonlinear integral equation on positive semi-axis”, Proceedings of the YSU, Physical and Mathematical Sciences, 2013, no. 3, 12–17
76.
Kh. A. Khachatryan, “On some classes of nonlinear integral equations with noncompact operators”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(30) (2013), 181–188
2012
77.
Kh. A. Khachatryan, “On solvability one Hammerstein–Nemitski type nonlinear integral differential equation with noncompact operator in $W_1^1(\mathbb R^+)$”, Algebra i Analiz, 24:1 (2012), 223–247; St. Petersburg Math. J., 24:1 (2013), 167–183
Kh. A. Khachatryan, “On a class of integral equations of Urysohn type with strong non-linearity”, Izv. RAN. Ser. Mat., 76:1 (2012), 173–200; Izv. Math., 76:1 (2012), 163–189
Kh. A. Khachatryan, “Nontrivial solvability of a class of nonlinear integro-differential equations of second order”, Mat. Tr., 15:2 (2012), 172–193; Siberian Adv. Math., 23:4 (2013), 234–249
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
Kh. A. Khachatryan, S. A. Grigoryan, “On nontrivial solvability of a nonlinear Hammerstein–Volterra type integral equation”, Vladikavkaz. Mat. Zh., 14:2 (2012), 57–66
Kh. A. Khachatryan, E. A. Khachatryan, “Solvability of some classes of nonlinear integro-differential equations with noncompact operator”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 1, 91–100; Russian Math. (Iz. VUZ), 55:1 (2011), 79–87
Kh. A. Khachatryan, “On solvability of one class high-order nonlinear integro-differential equations with Hammerstein type noncompact integral operator”, Ufimsk. Mat. Zh., 3:1 (2011), 103–112; Ufa Math. J., 3:1 (2011), 101–110
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
Kh. A. Khachatryan, “Solubility of a class of second-order integro-differential equations with monotone non-linearity on a semi-axis”, Izv. RAN. Ser. Mat., 74:5 (2010), 191–204; Izv. Math., 74:5 (2010), 1069–1082
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
Kh. A. Khachatryan, “On solvability of some classes of Urysohn nonlinear integral equations with noncompact operators”, Ufimsk. Mat. Zh., 2:2 (2010), 102–117
Kh. A. Khachatryan, “On one Urysohn type nonlinear integral equation with noncompact operator”, Proceedings of the YSU, Physical and Mathematical Sciences, 2010, no. 3, 23–28
90.
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
Kh. A. Khachatryan, “Sufficient conditions for the solvability of the Uryson integral equation on a half-axis”, Dokl. Akad. Nauk, 425:4 (2009), 462–465
Kh. A. Khachatryan, “Solvability of a Class of Integro-Differential Equations of First Order with Variable Coefficients”, Mat. Zametki, 83:6 (2008), 933–940; Math. Notes, 83:6 (2008), 851–857
Kh. A. Khachatryan, “The etimation of one Volterian type integral equation”, Proceedings of the YSU, Physical and Mathematical Sciences, 2003, no. 1, 21–26
2002
94.
Kh. A. Khachatryan, “Application of the albedo shifting method to an integral equation”, Zh. Vychisl. Mat. Mat. Fiz., 42:6 (2002), 905–912; Comput. Math. Math. Phys., 42:6 (2002), 870–877
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