The third mixed problem for the Sonin equation in a half space
We consider follwing mixed boundary-value problem: $$\begin{array}{*{20}c} {u'_t (t,R) + xu'_y (t,R) + yu'_z (t,R) = u''_{x^2 } (t,R) + f(t,R)} \\ {in \Pi _T = \{ (t,R),0< t \leqslant T,R = (x,y,z),R \in E_3 ,0< x\} ,} \\ {u(0,R) =...
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| Datum: | 1993 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
1993
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5907 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512125582049280 |
|---|---|
| author | Malyts’ka, H. P. Малицкая, А. П. Малицкая, А. П. |
| author_facet | Malyts’ka, H. P. Малицкая, А. П. Малицкая, А. П. |
| author_sort | Malyts’ka, H. P. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:20:26Z |
| description | We consider follwing mixed boundary-value problem:
$$\begin{array}{*{20}c} {u'_t (t,R) + xu'_y (t,R) + yu'_z (t,R) = u''_{x^2 } (t,R) + f(t,R)} \\ {in \Pi _T = \{ (t,R),0< t \leqslant T,R = (x,y,z),R \in E_3 ,0< x\} ,} \\ {u(0,R) = u_0 (R),u'_x (t,0,y,z) + \beta (t)u(t,0,y,z) = g(t,y,z).} \\ \end{array}$$
A solution of this problem is obtained in the form of a potential. |
| first_indexed | 2026-03-24T03:23:49Z |
| format | Article |
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| id | umjimathkievua-article-5907 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:23:49Z |
| publishDate | 1993 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/a4/155b114d7774c44005b953c602d2a4a4.pdf |
| spelling | umjimathkievua-article-59072020-03-19T09:20:26Z The third mixed problem for the Sonin equation in a half space Третья смешанная задача в полупространстве для уравнения Сонина Malyts’ka, H. P. Малицкая, А. П. Малицкая, А. П. We consider follwing mixed boundary-value problem: $$\begin{array}{*{20}c} {u'_t (t,R) + xu'_y (t,R) + yu'_z (t,R) = u''_{x^2 } (t,R) + f(t,R)} \\ {in \Pi _T = \{ (t,R),0< t \leqslant T,R = (x,y,z),R \in E_3 ,0< x\} ,} \\ {u(0,R) = u_0 (R),u'_x (t,0,y,z) + \beta (t)u(t,0,y,z) = g(t,y,z).} \\ \end{array}$$ A solution of this problem is obtained in the form of a potential. В статті розглянуто змішану граничну задачу: u'(t,R) + х $$\begin{array}{*{20}c} {u'_t (t,R) + xu'_y (t,R) + yu'_z (t,R) = u''_{x^2 } (t,R) + f(t,R)} \\ {in \Pi _T = \{ (t,R),0< t \leqslant T,R = (x,y,z),R \in E_3 ,0< x\} ,} \\ {u(0,R) = u_0 (R),u'_x (t,0,y,z) + \beta (t)u(t,0,y,z) = g(t,y,z).} \\ \end{array}$$ Розв’язок одержано у вигляді потенціалів. Institute of Mathematics, NAS of Ukraine 1993-08-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5907 Ukrains’kyi Matematychnyi Zhurnal; Vol. 45 No. 8 (1993); 1109–1114 Український математичний журнал; Том 45 № 8 (1993); 1109–1114 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5907/8497 https://umj.imath.kiev.ua/index.php/umj/article/view/5907/8498 Copyright (c) 1993 Malyts’ka H. P. |
| spellingShingle | Malyts’ka, H. P. Малицкая, А. П. Малицкая, А. П. The third mixed problem for the Sonin equation in a half space |
| title | The third mixed problem for the Sonin equation in a half space |
| title_alt | Третья смешанная задача в полупространстве для уравнения Сонина |
| title_full | The third mixed problem for the Sonin equation in a half space |
| title_fullStr | The third mixed problem for the Sonin equation in a half space |
| title_full_unstemmed | The third mixed problem for the Sonin equation in a half space |
| title_short | The third mixed problem for the Sonin equation in a half space |
| title_sort | third mixed problem for the sonin equation in a half space |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5907 |
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