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Khachatryan Aghavard Khachaturovich

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. 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. 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
  4. On nonlinear convolution-type integral equations in the theory of $p$-adic strings

    TMF, 216:1 (2023),  184–200
  5. Existence and uniqueness result for reaction-diffusion model of diffusive population dynamics

    Tr. Mosk. Mat. Obs., 83:2 (2022),  219–239
  6. Mathematical model of the spread of a pandemic like COVID-19

    Tr. Mosk. Mat. Obs., 83:1 (2022),  63–75
  7. 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
  8. On solvability of one infinite system of nonlinear functional equations in the theory of epidemics

    Eurasian Math. J., 11:2 (2020),  52–64
  9. On the Solvability of Some Nonlinear Integral Equations in Problems of Epidemic Spread

    Trudy Mat. Inst. Steklova, 306 (2019),  287–303
  10. 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
  11. Solvability of a nonlinear integral equation in dynamical string theory

    TMF, 195:1 (2018),  44–53
  12. 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
  13. On the solvability of the transfer equation coupled with Boltzmann equation for two-level atoms

    Sib. Èlektron. Mat. Izv., 14 (2017),  1041–1049
  14. Some solvability problems for the Boltzmann equation in the framework of the Shakhov model

    TMF, 191:3 (2017),  441–455
  15. 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
  16. 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. Solvability of a nonlinear model Boltzmann equation in the problem of a plane shock wave

    TMF, 189:2 (2016),  239–255
  18. Solvability of a nonlinear integral equation arising in kinetic theory

    Bul. Acad. Ştiinţe Repub. Mold. Mat., 2015, no. 2,  36–41
  19. 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
  20. On One Nonlinear Boundary-Value Problem in Kinetic Theory of Gases

    Zh. Mat. Fiz. Anal. Geom., 10:3 (2014),  320–327
  21. Qualitative difference between solutions of stationary model Boltzmann equations in the linear and nonlinear cases

    TMF, 180:2 (2014),  272–288
  22. Solvability of an integrodifferential equation arising in the nonlocal interaction of waves

    Zh. Vychisl. Mat. Mat. Fiz., 54:5 (2014),  834–844
  23. Analytical-numerical solution of a nonlinear integrodifferential equation in econometrics

    Zh. Vychisl. Mat. Mat. Fiz., 53:7 (2013),  1108–1112
  24. Qualitative difference between solutions for a model of the Boltzmann equation in the linear and nonlinear cases

    TMF, 172:3 (2012),  497–504
  25. On solvability of a nonlinear problem in theory of income distribution

    Eurasian Math. J., 2:2 (2011),  75–88
  26. On solvability of one class of Hammerstein nonlinear integral equations

    Bul. Acad. Ştiinţe Repub. Mold. Mat., 2010, no. 2,  67–83
  27. A nonlinear integral equation of Hammerstein type with a noncompact operator

    Mat. Sb., 201:4 (2010),  125–136
  28. 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
  29. About one system of integral equations in kinetic theory

    Zh. Vychisl. Mat. Mat. Fiz., 49:4 (2009),  715–721
  30. Integro-differential equation of non-local wave interaction

    Mat. Sb., 198:6 (2007),  89–106
  31. On one problem in physical kinetics

    Zh. Vychisl. Mat. Mat. Fiz., 45:11 (2005),  2061–2069
  32. On a rarefied gas velocity shock in the linearized BGK model of Boltzmann equation

    Mat. Model., 16:2 (2004),  31–42
  33. On nonlinear theory dynamics of dilute gas

    Mat. Model., 16:1 (2004),  67–74
  34. On analytical and numerical solutions to the radiative transfer problem with a reflecting surface

    Zh. Vychisl. Mat. Mat. Fiz., 41:8 (2001),  1217–1228
  35. Exact linearization of the sliding problem for a dilute gas in the Bhatnagar–Gross–Krook model

    TMF, 125:2 (2000),  339–342
  36. Some convolution-type integral equations in kinetic theory

    Zh. Vychisl. Mat. Mat. Fiz., 38:3 (1998),  466–482


© Steklov Math. Inst. of RAS, 2025