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.
Збережено в:
| Дата: | 2008 |
|---|---|
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут фізики конденсованих систем НАН України
2008
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| Назва видання: | Condensed Matter Physics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/119595 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1195952017-06-08T03:05:06Z Local solutions to Darboux problem with a discontinuous right-hand side Pikuta, P. 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. 2008 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/119595 en Condensed Matter Physics Інститут фізики конденсованих систем НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Pikuta, P. |
| spellingShingle |
Pikuta, P. Local solutions to Darboux problem with a discontinuous right-hand side Condensed Matter Physics |
| author_facet |
Pikuta, P. |
| author_sort |
Pikuta, P. |
| title |
Local solutions to Darboux problem with a discontinuous right-hand side |
| 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 |
| publisher |
Інститут фізики конденсованих систем НАН України |
| publishDate |
2008 |
| url |
http://dspace.nbuv.gov.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. |
| series |
Condensed Matter Physics |
| work_keys_str_mv |
AT pikutap localsolutionstodarbouxproblemwithadiscontinuousrighthandside |
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2023-10-18T20:34:57Z |
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2023-10-18T20:34:57Z |
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1796150577118314496 |