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Petrosyan Haykanush Samvelovna

Publications in Math-Net.Ru

  1. Solvability of one class of nonlinear multidimensional Urysohn type integral equations

    Mat. Zametki, 119:1 (2026),  95–103
  2. On the constructive solvability of a class of nonlinear multidimensional integral equations in the theory of $p$-adic strings

    TMF, 226:2 (2026),  346–362
  3. 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
  4. 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
  5. On an integral equation with concave nonlinearity

    Bulletin of Irkutsk State University. Series Mathematics, 50 (2024),  66–82
  6. 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
  7. 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
  8. 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
  9. Constructive study of the solvability of one class of nonlinear integral equations with a symmetric kernel

    Mat. Tr., 27:3 (2024),  111–138
  10. 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
  11. On qualitative properties of the solution of a boundary value problem for a system of nonlinear integral equations

    TMF, 218:1 (2024),  168–186
  12. On the solvability of an infinite system of algebraic equations with monotone and concave nonlinearity

    Vladikavkaz. Mat. Zh., 26:2 (2024),  82–94
  13. 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
  14. Existence and uniqueness theorems for one infinite system of nonlinear algebraic equations

    Bulletin of Irkutsk State University. Series Mathematics, 44 (2023),  44–54
  15. 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
  16. 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
  17. A one-parameter family of unbounded positive solutions for a class of nonlinear three-dimensional integral equations with an operator of the Hammerstein–Nemytsky type

    Tr. Mosk. Mat. Obs., 84:1 (2023),  37–53
  18. 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
  19. 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
  20. On nonlinear convolution-type integral equations in the theory of $p$-adic strings

    TMF, 216:1 (2023),  184–200
  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. On a class of nonlinear integro-differential equations

    Mat. Tr., 25:1 (2022),  192–220
  27. 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
  28. 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
  29. 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
  30. 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
  31. Alternating bounded solutions of a class of nonlinear two-dimensional convolution-type integral equations

    Tr. Mosk. Mat. Obs., 82:2 (2021),  313–327
  32. 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
  33. Единственность решения одной системы интегральных уравнений на полуоси с выпуклой нелинейностью

    Mat. Tr., 23:2 (2020),  187–203
  34. 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
  35. On the Solvability of a Class of Nonlinear Hammerstein–Stieltjes Integral Equations on the Whole Line

    Trudy Mat. Inst. Steklova, 308 (2020),  253–264
  36. 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
  37. 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
  38. 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
  39. 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
  40. 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
  41. 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
  42. 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
  43. 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
  44. 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

© Steklov Math. Inst. of RAS, 2026