Nonpositive solutions to a certain functional differential inequality
In the paper, efficient conditions are found guaranteeing that every solution to the problem u'(t) ≥ ι(u)(t), u(a) ≥ h(u) is nonpositive, where ι : C([a, b]; R) → L([a, b]; R) and h : C([a, b]; R) → R are linear bounded operators. The results obtained are very useful for the investigation of...
Збережено в:
| Дата: | 2009 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2009
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| Назва видання: | Нелінійні коливання |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/178417 |
| Теги: |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Nonpositive solutions to a certain functional differential inequality / A. Lomtatidze, Z. Opluštil, J. Šremr // Нелінійні коливання. — 2009. — Т. 12, № 4. — С. 461-494. — Бібліогр.: 18 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Резюме: | In the paper, efficient conditions are found guaranteeing that every solution to the problem
u'(t) ≥ ι(u)(t), u(a) ≥ h(u)
is nonpositive, where ι : C([a, b]; R) → L([a, b]; R) and h : C([a, b]; R) → R are linear bounded operators. The results obtained are very useful for the investigation of the question on solvability and unique
solvability of the nonlocal boundary-value problems for the first order functional differential equations in
both linear and nonlinear cases. |
|---|