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Pavlenko Vyacheslav Nikolaevich

Publications in Math-Net.Ru

  1. Semi-regular solutions of integral equations with discontinuous nonlinearities

    Mat. Zametki, 116:1 (2024),  109–121
  2. The asymptotic behavior of the approximate solution of a one-dimensional singularly perturbed Goldshtik problem

    Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 15:4 (2023),  14–20
  3. Arlen Mikhaylovich Il'in. 90 years since the birth

    Chelyab. Fiz.-Mat. Zh., 7:2 (2022),  135–138
  4. One class of quasilinear elliptic type equations with discontinuous nonlinearities

    Izv. RAN. Ser. Mat., 86:6 (2022),  143–160
  5. Semiregular solutions of elliptic boundary-value problems with discontinuous nonlinearities of exponential growth

    Mat. Sb., 213:7 (2022),  121–138
  6. About a problem on conductor heating

    Chelyab. Fiz.-Mat. Zh., 6:3 (2021),  299–311
  7. Positive solutions of superlinear elliptic problems with discontinuous non-linearities

    Izv. RAN. Ser. Mat., 85:2 (2021),  95–112
  8. Existence of Semiregular Solutions of Elliptic Systems with Discontinuous Nonlinearities

    Mat. Zametki, 110:2 (2021),  239–257
  9. Variational method for elliptic systems with discontinuous nonlinearities

    Mat. Sb., 212:5 (2021),  133–152
  10. On a class of elliptic boundary-value problems with parameter and discontinuous non-linearity

    Izv. RAN. Ser. Mat., 84:3 (2020),  168–184
  11. Periodic solutions existence for a second order differential equation with a discontinuous nonlinearity

    Chelyab. Fiz.-Mat. Zh., 4:3 (2019),  323–332
  12. Sturm — Liouville problem for an equation with a discontinuous nonlinearity

    Chelyab. Fiz.-Mat. Zh., 4:2 (2019),  142–154
  13. Properties of the spectrum of an elliptic boundary value problem with a parameter and a discontinuous nonlinearity

    Mat. Sb., 210:7 (2019),  145–170
  14. Elenbaas Problem of Electric Arc Discharge

    Mat. Zametki, 103:1 (2018),  92–100
  15. Existence of Three Nontrivial Solutions of an Elliptic Boundary-Value Problem with Discontinuous Nonlinearity in the Case of Strong Resonance

    Mat. Zametki, 101:2 (2017),  247–261
  16. Existence of two nontrivial solutions for sufficiently large values of the spectral parameter in eigenvalue problems for equations with discontinuous right-hand sides

    Mat. Sb., 208:1 (2017),  165–182
  17. Estimates for a spectral parameter in elliptic boundary value problems with discontinuous nonlinearities

    Sibirsk. Mat. Zh., 58:2 (2017),  375–385
  18. Existence of solutions to a nonvariational elliptic boundary value problem with parameter and discontinuous nonlinearity

    Mat. Tr., 19:1 (2016),  91–105
  19. The existence of semiregular solutions to elliptic spectral problems with discontinuous nonlinearities

    Mat. Sb., 206:9 (2015),  121–138
  20. Periodic solutions of the vibrating string equation with Neumann and Dirichlet boundary conditions and a discontinuous nonlinearity

    Trudy Inst. Mat. i Mekh. UrO RAN, 18:2 (2012),  199–204
  21. Periodic solutions of the telegraph equation with a discontinuous nonlinearity

    Ufimsk. Mat. Zh., 4:2 (2012),  74–79
  22. Periodic solutions of parabolic equations with discontinuous nonlinearities

    Vestnik Chelyabinsk. Gos. Univ., 2011, no. 14,  94–101
  23. Periodic solutions of parabolic equations with homogeneus bondary Dirichlet conditions time depent coefficients and discontinuous nonlinearity

    Vestnik Chelyabinsk. Gos. Univ., 2011, no. 13,  20–26
  24. The resonance elliptic boundary value problem with discontinuous nonlinearity of linear growth

    Vestnik Chelyabinsk. Gos. Univ., 2010, no. 12,  43–48
  25. Parabolic type equations with discontinuous nonlinearity

    Vestnik Chelyabinsk. Gos. Univ., 2008, no. 10,  49–53
  26. Resonance elliptic variational inequalities with discontinuous nonlinearities

    Differ. Uravn., 42:1 (2006),  120–125
  27. Proper solutions of elliptic boundary-valus problems with discontinuous nonlinearities

    Algebra i Analiz, 17:3 (2005),  124–138
  28. Strongly resonance elliptic variational inequalities with discontinuous nonlinearities

    Izv. Vyssh. Uchebn. Zaved. Mat., 2005, no. 7,  49–56
  29. Approximation of boundary value problems of elliptic type with a spectral parameter and a discontinuous nonlinearity

    Izv. Vyssh. Uchebn. Zaved. Mat., 2005, no. 4,  49–55
  30. Approximation of the resonance boundary-value problems of elliptic type with a discontinuous nonlinearity

    Sibirsk. Mat. Zh., 46:1 (2005),  139–148
  31. Регуляризация для уравнений с разрывными некоэрцитивными операторами

    Vestnik Chelyabinsk. Gos. Univ., 2003, no. 9,  111–123
  32. Аппроксимация краевых задач эллиптического типа с разрывной нелинейностью

    Vestnik Chelyabinsk. Gos. Univ., 2003, no. 7,  89–98
  33. Method of Upper and Lower Solutions for Parabolic-Type Equations with Discontinuous Nonlinearities

    Differ. Uravn., 38:4 (2002),  499–504
  34. Управление эллиптическими резонансными системами с разрывными нелинейностями

    Vestnik Chelyabinsk. Gos. Univ., 2002, no. 6,  147–154
  35. Задача Дирихле для уравнения Лапласа с разрывной нелинейностью без условия Ландесмана–Лазера

    Vestnik Chelyabinsk. Gos. Univ., 2002, no. 6,  120–126
  36. О существовании полуоси положительных собственных значений для уравнений с разрывными операторами

    Vestnik Chelyabinsk. Gos. Univ., 2002, no. 6,  114–119
  37. Теоремы существования для уравнений с некоэрцитивными разрывными операторами

    Vestnik Chelyabinsk. Gos. Univ., 2002, no. 6,  104–113
  38. Resonance boundary value problems for elliptic-type equations with discontinuous nonlinearities

    Izv. Vyssh. Uchebn. Zaved. Mat., 2001, no. 5,  43–58
  39. Existence of a ray of eigenvalues for equations with discontinuous operators

    Sibirsk. Mat. Zh., 42:4 (2001),  911–919
  40. Управление распределенными системами эллиптического типа с разрывными нелинейностями

    Vestnik Chelyabinsk. Gos. Univ., 1999, no. 5,  56–67
  41. The method of upper and lower solutions for elliptic-type equations with discontinuous nonlinearities

    Izv. Vyssh. Uchebn. Zaved. Mat., 1998, no. 11,  69–76
  42. Control of distributed systems of elliptic type with discontinuous nonlinearities

    Differ. Uravn., 31:9 (1995),  1586–1587
  43. Вариационный метод для уравнений с разрывными операторами

    Vestnik Chelyabinsk. Gos. Univ., 1994, no. 2,  87–95
  44. The method of monotone operators in problems of the control of distributed systems of elliptic type with discontinuous nonlinearities

    Izv. Vyssh. Uchebn. Zaved. Mat., 1993, no. 8,  49–54
  45. On the existence of semiregular solutions of the first boundary value problem for an equation of parabolic type with a discontinuous nonmonotone nonlinearity

    Differ. Uravn., 27:3 (1991),  520–526
  46. The method of monotone operators for equations with discontinuous nonlinearities

    Izv. Vyssh. Uchebn. Zaved. Mat., 1991, no. 6,  38–45
  47. Эллиптические вариационные неравенства с разрывными полумонотонными операторами

    Vestnik Chelyabinsk. Gos. Univ., 1991, no. 1,  29–36
  48. Existence theorems for elliptic variational inequalities with quasipotential operators

    Differ. Uravn., 24:8 (1988),  1397–1402
  49. On the solvability of some nonlinear equations with discontinuous operators

    Dokl. Akad. Nauk SSSR, 204:6 (1972),  1320–1323

  50. Владимир Евгеньевич Федоров. К пятидесятилетию со дня рождения

    Chelyab. Fiz.-Mat. Zh., 7:1 (2022),  5–10
  51. Arlen Mikhaylovich Il’in. Towards 85th birthday

    Chelyab. Fiz.-Mat. Zh., 2:1 (2017),  5–9
  52. Valentin Fedorovich Kuropatenko (1933–2017)

    Vestnik YuUrGU. Ser. Mat. Model. Progr., 10:4 (2017),  151–152

© Steklov Math. Inst. of RAS, 2024