On Sturm - Liouville and Thomas - Fermi Singular Boundary-Value Problems
In this paper we investigate the existence of a positive solution of a second order singular Sturm – Liouville boundary-value problem, by constructing upper and lower solutions and combined them with properties of the consequent mapping. Applications to well known Emden – Fowler and Thomas – Ferm...
Збережено в:
| Дата: | 2001 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2001
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| Назва видання: | Нелінійні коливання |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/174692 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On Sturm - Liouville and Thomas - Fermi Singular Boundary-Value Problems / S.K. Ntouyas, P.K. Palamides // Нелінійні коливання. — 2001. — Т. 4, № 3. — С. 326-344. — Бібліогр.: 10 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Резюме: | In this paper we investigate the existence of a positive solution of a second order singular Sturm –
Liouville boundary-value problem, by constructing upper and lower solutions and combined
them with properties of the consequent mapping. Applications to well known Emden – Fowler
and Thomas – Fermi boundary-value problems are also presented. Further we generalize some
of O’Regan’s results, allowing constants in the boundary conditions to be negative. |
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