| Title:
|
Sufficient conditions for the solvability of some third order functional boundary value problems on the half-line (English) |
| Author:
|
Carrasco, Hugo |
| Author:
|
Minhós, Feliz |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
58 |
| Issue:
|
4 |
| Year:
|
2017 |
| Pages:
|
443-459 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
This paper is concerned with the existence of bounded or unbounded solutions to third-order boundary value problem on the half-line with functional boundary conditions. The arguments are based on the Green functions, a Nagumo condition, Schauder fixed point theorem and lower and upper solutions method. An application to a Falkner-Skan equation with functional boundary conditions is given to illustrate our results. (English) |
| Keyword:
|
functional boundary conditions |
| Keyword:
|
unbounded solutions |
| Keyword:
|
half-line |
| Keyword:
|
upper and lower solutions |
| Keyword:
|
Nagumo condition |
| Keyword:
|
Green's function |
| Keyword:
|
fixed point theory |
| Keyword:
|
Falkner-Skan equation |
| MSC:
|
34B10 |
| MSC:
|
34B15 |
| MSC:
|
34B27 |
| MSC:
|
34B40 |
| MSC:
|
34B60 |
| MSC:
|
45G10 |
| idZBL:
|
Zbl 06837078 |
| idMR:
|
MR3737117 |
| DOI:
|
10.14712/1213-7243.2015.220 |
| . |
| Date available:
|
2017-12-12T06:45:45Z |
| Last updated:
|
2020-01-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/146989 |
| . |
| Reference:
|
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| . |
