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Korzyuk Viktor Ivanovich

Publications in Math-Net.Ru

  1. Classical solution of a mixed problem with the Zaremba boundary condition and conjugation conditions for a semilinear wave equation

    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 242 (2025),  46–60
  2. Curvilinear parallelogram identity and mean-value property for a semilinear hyperbolic equation of the second order

    Eurasian Math. J., 15:2 (2024),  61–74
  3. Classical solution of a mixed problem with the Dirichlet and Neumann conditions for a nonlinear biwave equation

    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 235 (2024),  40–56
  4. Classical solution of the third mixed problem for the telegraph equation with nonlinear potential

    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 232 (2024),  37–49
  5. Classical solution of the Cauchy problem for a semilinear hyperbolic equation in the case of two independent variables

    Izv. Vyssh. Uchebn. Zaved. Mat., 2024, no. 3,  50–63
  6. On the absence, non-uniqueness, and blow-up of classical solutions of mixed problems for the telegraph equation with a nonlinear potential

    PFMT, 2024, no. 2(59),  73–78
  7. Initial-boundary value problem with Dirichlet and Wentzell conditions for a mildly quasilinear biwave equation

    Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 166:3 (2024),  377–394
  8. Solutions of problems with discontinuous conditions for the wave equation

    Journal of the Belarusian State University. Mathematics and Informatics, 3 (2023),  6–18
  9. Classical and mild solution of the first mixed problem for the telegraph equation with a nonlinear potential

    Bulletin of Irkutsk State University. Series Mathematics, 43 (2023),  48–63
  10. A mathematical investigation of one problem of the longitudinal impact on an elastic rod with an elastic attachment at the end

    Tr. Inst. Mat., 31:1 (2023),  81–87
  11. Picard problem on the plane for a quasilinear hyperbolic equation of the second order

    Tr. Inst. Mat., 31:1 (2023),  70–80
  12. Classical solution of one problem of a perfectly inelastic impact on a long elastic semi-infinite bar with a linear elastic element at the end

    Journal of the Belarusian State University. Mathematics and Informatics, 2 (2022),  34–46
  13. Problems for the one-dimensional wave equation with conditionson characteristics and non-characteristic lines

    Tr. Inst. Mat., 29:1-2 (2021),  106–112
  14. Solution of the wave equation in a quarter plane

    Tr. Inst. Mat., 28:1-2 (2020),  40–56
  15. Classical solutions of mixed problems for a one-dimensional wave equation in the class of smooth high-order functions

    Tr. Inst. Mat., 28:1-2 (2020),  32–39
  16. Statement of border tasks on the plane dependent on the coefficients for the type of the wave equation. III

    Tr. Inst. Mat., 27:1-2 (2019),  44–52
  17. Statement of border tasks on the plane dependent on the coefficients for the type of the wave equation. II

    Tr. Inst. Mat., 27:1-2 (2019),  37–43
  18. Statement of border tasks on the plane dependent on the coefficients for the type of the wave equation. I

    Tr. Inst. Mat., 27:1-2 (2019),  29–36
  19. Classical solution for the mixed problem for Klein-Gordon-Fock equation with unlocal conditions

    Tr. Inst. Mat., 26:1 (2018),  54–70
  20. The method of the characteristic parallelogram of the solution of the second mixed problem for the one-dimensional wave equation

    Tr. Inst. Mat., 26:1 (2018),  43–53
  21. On the classical solution of the second mixed problem for a one-dimensional wave equation

    Tr. Inst. Mat., 26:1 (2018),  35–42
  22. A nonlocal problem with integral conditions for one-dimensional biwave equation

    Tr. Inst. Mat., 25:2 (2017),  91–105
  23. Cauchy problem for some fourth-order nonstrictly hyperbolic equations

    Nanosystems: Physics, Chemistry, Mathematics, 7:5 (2016),  869–879
  24. Conservation law for the Cauchy–Navier equation of elastodynamics wave via Fourier transform

    Tr. Inst. Mat., 24:1 (2016),  100–106
  25. Generalized solutions of boundary value problems for the Helmholtz equation

    Tr. Inst. Mat., 24:1 (2016),  38–46
  26. Methods of forest fires computer modelling

    Tr. Inst. Mat., 21:1 (2013),  3–14
  27. Classical solution of the boundary-value problem for hyperbolic equation in half-region

    Tr. Inst. Mat., 20:2 (2012),  64–74
  28. Two-point boundary problem for string oscillation equation with given velocity in arbitrary point of time. II

    Tr. Inst. Mat., 19:1 (2011),  62–70
  29. Boundary-value problems for fourth-order equations of hyperbolic and composite types

    CMFD, 36 (2010),  87–111
  30. Solution of the mixed problem for the biwave equation by the method of characteristics

    Tr. Inst. Mat., 18:2 (2010),  36–54
  31. Two-point boundary problem for string oscillation equationwith given velocity in arbitrary point of time. I

    Tr. Inst. Mat., 18:2 (2010),  22–35
  32. Solution of the first mixed problem for the wave equation by the method of characteristics

    Tr. Inst. Mat., 17:2 (2009),  23–34
  33. Boundary Problems for a Elliptical Second Order Equations

    Tr. Inst. Mat., 15:2 (2007),  38–47
  34. On solvability of some problems of the theory shielding of fields by set of unclosed shields

    Tr. Inst. Mat., 14:1 (2006),  71–81
  35. A Boundary Value Problem for a Hyperbolic Equation with a Third-Order Wave Operator

    Differ. Uravn., 40:2 (2004),  208–215
  36. A boundary value problem for a third-order Mangeron equation

    Differ. Uravn., 33:12 (1997),  1683–1690
  37. On the solvability of a conjugation problem that describes the diffusion of admixtures in silicon

    Differ. Uravn., 30:8 (1994),  1396–1404
  38. On a weak solution of a Dirichlet-type problem for a third-order linear differential equation

    Differ. Uravn., 28:6 (1992),  1056–1066
  39. The first mixed problem for a second-order linear hyperbolic equation with homogeneous conditions in the case of a nontube domain

    Differ. Uravn., 28:5 (1992),  847–856
  40. The Cauchy problem for third-order hyperbolic operator-differential equations

    Differ. Uravn., 27:8 (1991),  1448–1450
  41. An energy inequality for a boundary value problem for a third-order hyperbolic equation with a wave operator

    Differ. Uravn., 27:6 (1991),  1014–1022
  42. A problem of Dirichlet type for a third-order linear differential equation

    Differ. Uravn., 23:5 (1987),  867–872
  43. A conjugation problem for non-stationary abstract linear differential equations

    Differ. Uravn., 7:9 (1971),  1629–1638
  44. The problem of the conjugacy of certain nonstationary differential equations of order $2m$

    Differ. Uravn., 7:4 (1971),  750–753
  45. A mixed problem for certain nonstationary equations with discontinuous coefficients

    Differ. Uravn., 6:2 (1970),  343–357
  46. A conjugacy problem for equations of hyperbolic and parabolic types

    Differ. Uravn., 4:10 (1968),  1854–1866

  47. Ivan Vasil'evich Gaishun (A tribute in honor of his sixtieth birthday)

    Differ. Uravn., 42:10 (2006),  1299–1306

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