Zobrazeno 1 - 5
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pro vyhledávání: '"L. G. Khoma"'
Autor:
L. G. Khoma, N. G. Khoma
Publikováno v:
Ukrainian Mathematical Journal. 51:319-323
We study the boundary-value problemutt -uxx =g(x, t),u(0,t) =u (π,t) = 0,u(x, t +T) =u(x, t), 0 ≤x ≤ π,t ∈ ℝ. We findexact classical solutions of this problem in three Vejvoda-Shtedry spaces, namely, in the classes of\(\frac{\pi }{q} - , \f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cea461f6677bf25c626d8f626998e27f
https://doi.org/10.1007/bf02513487
https://doi.org/10.1007/bf02513487
Publikováno v:
Ukrainian Mathematical Journal. 49:334-341
We investigate the linear periodic problem u tt −u xx =F(x, t), u(x+2π, t)=u(x, t+T)=u(x, t), ∈ ℝ2, and establish conditions for the existence of its classical solution in spaces that are subspaces of the Vejvoda-Shtedry spaces.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1fbeea21ccce862e5b45e596b288c0ae
https://doi.org/10.1007/bf02486447
https://doi.org/10.1007/bf02486447
Autor:
L. G. Khoma, N. G. Khoma
Publikováno v:
Ukrainian Mathematical Journal. 48:453-459
We study a boundary-value periodic problem for the quasilinear equationu ff −u xx =F[u,u f u x ],u(0,t) =u (π,t),u (x, t + π/q) =u(x, t), 0 ≤x ≤π,t ∈ ℝ,q ∈ ℕ. We establish conditions under which the theorem on the uniqueness of a smo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::230ba6f6c51e836ee16bed73aecd47b3
https://doi.org/10.1007/bf02378534
https://doi.org/10.1007/bf02378534
Autor:
Yu. A. Mitropol'skii, L. G. Khoma
Publikováno v:
Ukrainian Mathematical Journal. 45:1382-1389
The paper deals with the problem of solvability of the mixed problem for a linear second-order hyperbolic partial differential equation. The minimal necessary and sufficient conditions for the existence of a unique classical solution to this problem
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::18b14c772084d6fb4a891e7356af5993
https://doi.org/10.1007/bf01058636
https://doi.org/10.1007/bf01058636
Autor:
L. G. Khoma
Publikováno v:
Ukrainian Mathematical Journal. 46:499-501
By using a nonlinear boundary-value problem for a second-order hyperbolic equation as an example, we justify a new approach to the application of the Krylov —Bogolyubov —Mitropol'skii asymptotic methods. For certain linear problems, we present co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::15a780544dcf8cc8294bd7d4ad0d0daf
https://doi.org/10.1007/bf01060425
https://doi.org/10.1007/bf01060425