| Title:
|
Positive solutions for systems of generalized three-point nonlinear boundary value problems (English) |
| Author:
|
Henderson, J. |
| Author:
|
Ntouyas, S. K. |
| Author:
|
Purnaras, I. K. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
49 |
| Issue:
|
1 |
| Year:
|
2008 |
| Pages:
|
79-91 |
| . |
| Category:
|
math |
| . |
| Summary:
|
Values of $\lambda$ are determined for which there exist positive solutions of the system of three-point boundary value problems, $u''+\lambda a(t) f(v) = 0$, $v''+\lambda b(t) g(u) = 0$, for $0 < t < 1$, and satisfying, $u(0) = \beta u(\eta)$, $u(1)=\alpha u(\eta)$, $v(0) = \beta v(\eta)$, $v(1) = \alpha v(\eta)$. A Guo-Krasnosel'skii fixed point theorem is applied. (English) |
| Keyword:
|
generalized three-point boundary value problem |
| Keyword:
|
system of differential equations |
| Keyword:
|
eigenvalue problem |
| MSC:
|
34A34 |
| MSC:
|
34B10 |
| MSC:
|
34B18 |
| idZBL:
|
Zbl 1212.34058 |
| idMR:
|
MR2433626 |
| . |
| Date available:
|
2009-05-05T17:06:38Z |
| Last updated:
|
2013-09-22 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119703 |
| . |
| Related article:
|
http://dml.cz/handle/10338.dmlcz/119741 |
| . |
| Reference:
|
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| Reference:
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