Khachatryan Khachatur Aghavardovich

Publications in Math-Net.Ru

1. 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
2. On the global solvability of one class of nonlinear integral equations of Hammerstein–Volterra type on the nonnegative half-line
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 31:2 (2025),  181–194
3. On an integral equation with concave nonlinearity
   
   Bulletin of Irkutsk State University. Series Mathematics, 50 (2024),  66–82
4. 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
5. Questions of existence and uniqueness of the solution of one class of an infinite system of nonlinear two-dimensional equations
   
   Izv. Saratov Univ. Math. Mech. Inform., 24:4 (2024),  498–511
6. 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
7. Constructive study of the solvability of one class of nonlinear integral equations with a symmetric kernel
   
   Mat. Tr., 27:3 (2024),  111–138
8. 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
9. On qualitative properties of the solution of a boundary value problem for a system of nonlinear integral equations
   
   TMF, 218:1 (2024),  168–186
10. On the solvability of an infinite system of algebraic equations with monotone and concave nonlinearity
    
    Vladikavkaz. Mat. Zh., 26:2 (2024),  82–94
11. Stationary states in population dynamics with migration and distributed offspring
    
    CMFD, 69:4 (2023),  578–587
12. 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
13. Existence and uniqueness theorems for one infinite system of nonlinear algebraic equations
    
    Bulletin of Irkutsk State University. Series Mathematics, 44 (2023),  44–54
14. 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
15. 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
16. 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
17. 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
18. 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
19. On nonlinear convolution-type integral equations in the theory of $p$-adic strings
    
    TMF, 216:1 (2023),  184–200
20. 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
21. 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
22. 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
23. 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
24. On summable solutions of a class of nonlinear integral equations on the whole line
    
    Izv. RAN. Ser. Mat., 86:5 (2022),  157–168
25. 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
26. Existence and uniqueness result for reaction-diffusion model of diffusive population dynamics
    
    Tr. Mosk. Mat. Obs., 83:2 (2022),  219–239
27. Mathematical model of the spread of a pandemic like COVID-19
    
    Tr. Mosk. Mat. Obs., 83:1 (2022),  63–75
28. On a class of nonlinear integro-differential equations
    
    Mat. Tr., 25:1 (2022),  192–220
29. 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
30. 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
31. On the qualitative properties of a solution for one system of infinite nonlinear algebraic equations
    
    Vladikavkaz. Mat. Zh., 24:4 (2022),  5–18
32. 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
33. 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
34. 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
35. Alternating bounded solutions of a class of nonlinear two-dimensional convolution-type integral equations
    
    Tr. Mosk. Mat. Obs., 82:2 (2021),  313–327
36. 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
37. On solvability of one infinite system of nonlinear functional equations in the theory of epidemics
    
    Eurasian Math. J., 11:2 (2020),  52–64
38. 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
39. Solvability of some nonlinear boundary value problems for singular integral equations of convolution type
    
    Tr. Mosk. Mat. Obs., 81:1 (2020),  3–40
40. Единственность решения одной системы интегральных уравнений на полуоси с выпуклой нелинейностью
    
    Mat. Tr., 23:2 (2020),  187–203
41. 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
42. On the Solvability of a Class of Nonlinear Hammerstein–Stieltjes Integral Equations on the Whole Line
    
    Trudy Mat. Inst. Steklova, 308 (2020),  253–264
43. 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
44. 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
45. 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
46. 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
47. 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
48. On the Solvability of Some Nonlinear Integral Equations in Problems of Epidemic Spread
    
    Trudy Mat. Inst. Steklova, 306 (2019),  287–303
49. 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
50. 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
51. 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
52. 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
53. 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
54. On the solvability of a boundary value problem in $ p$-adic string theory
    
    Tr. Mosk. Mat. Obs., 79:1 (2018),  117–132
55. 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
56. Solvability of a nonlinear integral equation in dynamical string theory
    
    TMF, 195:1 (2018),  44–53
57. On solvability of class of nonlinear integral equations in $p$-adic string theory
    
    Ufimsk. Mat. Zh., 10:4 (2018),  12–23
58. The existence of odd solution for one boundary-value problem with power nonlinearity
    
    Sib. J. Pure and Appl. Math., 18:4 (2018),  88–96
59. 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
60. On the solvability of one class of two-dimensional Urysohn integral equations
    
    Mat. Tr., 20:2 (2017),  193–205
61. 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
62. 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
63. 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
64. 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
65. 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
66. Solvability of a nonlinear model Boltzmann equation in the problem of a plane shock wave
    
    TMF, 189:2 (2016),  239–255
67. One-parametric family of positive solutions for a class of nonlinear discrete Hammerstein–Volterra equations
    
    Ufimsk. Mat. Zh., 8:1 (2016),  15–21
68. On solvability of a Hammerstein–Voltera type nonlinear system of integral equations in critical case
    
    Vladikavkaz. Mat. Zh., 18:4 (2016),  71–79
69. Solvability of a nonlinear integral equation arising in kinetic theory
    
    Bul. Acad. Ştiinţe Repub. Mold. Mat., 2015, no. 2,  36–41
70. 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
71. 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
72. On the solvability of one class of nonlinear integral equations in $L_1(0,+\infty)$
    
    Mat. Tr., 18:1 (2015),  190–200
73. On One Nonlinear Boundary-Value Problem in Kinetic Theory of Gases
    
    Zh. Mat. Fiz. Anal. Geom., 10:3 (2014),  320–327
74. 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
75. Qualitative difference between solutions of stationary model Boltzmann equations in the linear and nonlinear cases
    
    TMF, 180:2 (2014),  272–288
76. 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
77. 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
78. On solution of a system of Hammerstein–Nemitskii type nonlinear integral equations on whole axis
    
    Tr. Inst. Mat., 21:2 (2013),  154–161
79. 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
80. On some nonlinear integral and integro-differential equations with noncompact operators on positive half-line
    
    Ufimsk. Mat. Zh., 5:2 (2013),  31–42
81. 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
82. 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
83. 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
84. On a class of integral equations of Urysohn type with strong non-linearity
    
    Izv. RAN. Ser. Mat., 76:1 (2012),  173–200
85. Nontrivial solvability of a class of nonlinear integro-differential equations of second order
    
    Mat. Tr., 15:2 (2012),  172–193
86. Qualitative difference between solutions for a model of the Boltzmann equation in the linear and nonlinear cases
    
    TMF, 172:3 (2012),  497–504
87. On nontrivial solvability of a nonlinear Hammerstein–Volterra type integral equation
    
    Vladikavkaz. Mat. Zh., 14:2 (2012),  57–66
88. On solvability of a nonlinear problem in theory of income distribution
    
    Eurasian Math. J., 2:2 (2011),  75–88
89. Solvability of some classes of nonlinear integro-differential equations with noncompact operator
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 1,  91–100
90. 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
91. On solvability of one class of Hammerstein nonlinear integral equations
    
    Bul. Acad. Ştiinţe Repub. Mold. Mat., 2010, no. 2,  67–83
92. 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
93. A nonlinear integral equation of Hammerstein type with a noncompact operator
    
    Mat. Sb., 201:4 (2010),  125–136
94. On solvability of some classes of Urysohn nonlinear integral equations with noncompact operators
    
    Ufimsk. Mat. Zh., 2:2 (2010),  102–117
95. On one Urysohn type nonlinear integral equation with noncompact operator
    
    Proceedings of the YSU, Physical and Mathematical Sciences, 2010, no. 3,  23–28
96. 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
97. Sufficient conditions for the solvability of the Uryson integral equation on a half-axis
    
    Dokl. Akad. Nauk, 425:4 (2009),  462–465
98. Solvability of a Class of Integro-Differential Equations of First Order with Variable Coefficients
    
    Mat. Zametki, 83:6 (2008),  933–940
99. The etimation of one Volterian type integral equation
    
    Proceedings of the YSU, Physical and Mathematical Sciences, 2003, no. 1,  21–26
100. Application of the albedo shifting method to an integral equation
     
     Zh. Vychisl. Mat. Mat. Fiz., 42:6 (2002),  905–912