Local solutions to Darboux problem with a discontinuous right-hand side
The existence of a local solution to the Darboux problem uxy (x, y) = g (u (x, y)), u (x, 0) = u (0, y) = 0, where g is Lebesgue measurable and has at most polynomial growth, is proved. Доведено iснування локального розв’язку проблеми Дарбу uxy (x, y) = g (u (x, y)), u (x, 0) = u (0, y) = 0, де g...
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| Published in: | Condensed Matter Physics |
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| Date: | 2008 |
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| Format: | Article |
| Language: | English |
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Інститут фізики конденсованих систем НАН України
2008
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/119595 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Local solutions to Darboux problem with a discontinuous right-hand side / P. Pikuta // Condensed Matter Physics. — 2008. — Т. 11, № 4(56). — С. 755-760. — Бібліогр.: 5 назв. — англ. |
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Pikuta, P. 2017-06-07T15:27:42Z 2017-06-07T15:27:42Z 2008 Local solutions to Darboux problem with a discontinuous right-hand side / P. Pikuta // Condensed Matter Physics. — 2008. — Т. 11, № 4(56). — С. 755-760. — Бібліогр.: 5 назв. — англ. 1607-324X PACS: 02.30.Jr DOI:10.5488/CMP.11.4.755 https://nasplib.isofts.kiev.ua/handle/123456789/119595 The existence of a local solution to the Darboux problem uxy (x, y) = g (u (x, y)), u (x, 0) = u (0, y) = 0, where g is Lebesgue measurable and has at most polynomial growth, is proved. Доведено iснування локального розв’язку проблеми Дарбу uxy (x, y) = g (u (x, y)), u (x, 0) = u (0, y) = 0, де g є вимiрна за Лебегом функцiя, що росте не швидше, нiж полiном. en Інститут фізики конденсованих систем НАН України Condensed Matter Physics Local solutions to Darboux problem with a discontinuous right-hand side Локальнi розв’язки проблеми Дарбу з правою частиною, що має розриви Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Local solutions to Darboux problem with a discontinuous right-hand side |
| spellingShingle |
Local solutions to Darboux problem with a discontinuous right-hand side Pikuta, P. |
| title_short |
Local solutions to Darboux problem with a discontinuous right-hand side |
| title_full |
Local solutions to Darboux problem with a discontinuous right-hand side |
| title_fullStr |
Local solutions to Darboux problem with a discontinuous right-hand side |
| title_full_unstemmed |
Local solutions to Darboux problem with a discontinuous right-hand side |
| title_sort |
local solutions to darboux problem with a discontinuous right-hand side |
| author |
Pikuta, P. |
| author_facet |
Pikuta, P. |
| publishDate |
2008 |
| language |
English |
| container_title |
Condensed Matter Physics |
| publisher |
Інститут фізики конденсованих систем НАН України |
| format |
Article |
| title_alt |
Локальнi розв’язки проблеми Дарбу з правою частиною, що має розриви |
| description |
The existence of a local solution to the Darboux problem uxy (x, y) = g (u (x, y)), u (x, 0) = u (0, y) = 0,
where g is Lebesgue measurable and has at most polynomial growth, is proved.
Доведено iснування локального розв’язку проблеми Дарбу uxy (x, y) = g (u (x, y)), u (x, 0) =
u (0, y) = 0, де g є вимiрна за Лебегом функцiя, що росте не швидше, нiж полiном.
|
| issn |
1607-324X |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/119595 |
| citation_txt |
Local solutions to Darboux problem with a discontinuous right-hand side / P. Pikuta // Condensed Matter Physics. — 2008. — Т. 11, № 4(56). — С. 755-760. — Бібліогр.: 5 назв. — англ. |
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AT pikutap localsolutionstodarbouxproblemwithadiscontinuousrighthandside AT pikutap lokalʹnirozvâzkiproblemidarbuzpravoûčastinoûŝomaêrozrivi |
| first_indexed |
2025-12-07T13:26:10Z |
| last_indexed |
2025-12-07T13:26:10Z |
| _version_ |
1850856147045580800 |