On an antiperiodic type boundary-value problem for first order nonlinear functional differential equations of non-Volterra's type
Nonimprovable, in a certain sense, sufficient conditions are established for the solvability and unique solvability of the boundary-value problem u'(t) = F(u)(t), u(a) + λu(b) = h(u), where F : C([a, b]; R) → L([a, b]; R) is a continuous operator satisfying the Caratheodory conditions, ` h :...
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| Дата: | 2003 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2003
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| Назва видання: | Нелінійні коливання |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/176950 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On an antiperiodic type boundary-value problem for first order nonlinear functional differential equations of non-Volterra's type / R. Hakl, A. Lomtatidze, J. Šremr // Нелінійні коливання. — 2003. — Т. 6, № 4. — С. 550-573. — Бібліогр.: 27 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1769502021-02-10T01:26:28Z On an antiperiodic type boundary-value problem for first order nonlinear functional differential equations of non-Volterra's type Hakl, R. Lomtatidze, A. Šremr, J. Nonimprovable, in a certain sense, sufficient conditions are established for the solvability and unique solvability of the boundary-value problem u'(t) = F(u)(t), u(a) + λu(b) = h(u), where F : C([a, b]; R) → L([a, b]; R) is a continuous operator satisfying the Caratheodory conditions, ` h : C([a, b]; R) → R is a continuous functional, and λ ∈ R₊. Отримано неполiпшуванi у певному сенсi достатнi умови для iснування розв’язкiв або єдиного розв’язку граничної задачi u'(t) = F(u)(t), u(a) + λu(b) = h(u), де F : C([a, b]; R) → L([a, b]; R) — неперервний оператор, що задовольняє умови Каратеодорi, h : C([a, b]; R) → R — неперервний функцiонал i λ ∈ R₊. 2003 Article On an antiperiodic type boundary-value problem for first order nonlinear functional differential equations of non-Volterra's type / R. Hakl, A. Lomtatidze, J. Šremr // Нелінійні коливання. — 2003. — Т. 6, № 4. — С. 550-573. — Бібліогр.: 27 назв. — англ. 1562-3076 http://dspace.nbuv.gov.ua/handle/123456789/176950 517.948 en Нелінійні коливання Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
Nonimprovable, in a certain sense, sufficient conditions are established for the solvability and unique
solvability of the boundary-value problem u'(t) = F(u)(t), u(a) + λu(b) = h(u),
where F : C([a, b]; R) → L([a, b]; R) is a continuous operator satisfying the Caratheodory conditions, `
h : C([a, b]; R) → R is a continuous functional, and λ ∈ R₊. |
| format |
Article |
| author |
Hakl, R. Lomtatidze, A. Šremr, J. |
| spellingShingle |
Hakl, R. Lomtatidze, A. Šremr, J. On an antiperiodic type boundary-value problem for first order nonlinear functional differential equations of non-Volterra's type Нелінійні коливання |
| author_facet |
Hakl, R. Lomtatidze, A. Šremr, J. |
| author_sort |
Hakl, R. |
| title |
On an antiperiodic type boundary-value problem for first order nonlinear functional differential equations of non-Volterra's type |
| title_short |
On an antiperiodic type boundary-value problem for first order nonlinear functional differential equations of non-Volterra's type |
| title_full |
On an antiperiodic type boundary-value problem for first order nonlinear functional differential equations of non-Volterra's type |
| title_fullStr |
On an antiperiodic type boundary-value problem for first order nonlinear functional differential equations of non-Volterra's type |
| title_full_unstemmed |
On an antiperiodic type boundary-value problem for first order nonlinear functional differential equations of non-Volterra's type |
| title_sort |
on an antiperiodic type boundary-value problem for first order nonlinear functional differential equations of non-volterra's type |
| publisher |
Інститут математики НАН України |
| publishDate |
2003 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/176950 |
| citation_txt |
On an antiperiodic type boundary-value problem for first order nonlinear functional differential equations of non-Volterra's type / R. Hakl, A. Lomtatidze, J. Šremr // Нелінійні коливання. — 2003. — Т. 6, № 4. — С. 550-573. — Бібліогр.: 27 назв. — англ. |
| series |
Нелінійні коливання |
| work_keys_str_mv |
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2023-10-18T22:42:25Z |
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2023-10-18T22:42:25Z |
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1796156220510306304 |