| Title:
|
On a singular multi-point third-order boundary value problem on the half-line (English) |
| Author:
|
Benbaziz, Zakia |
| Author:
|
Djebali, Smail |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
145 |
| Issue:
|
3 |
| Year:
|
2020 |
| Pages:
|
305-324 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We establish not only sufficient but also necessary conditions for existence of solutions to a singular multi-point third-order boundary value problem posed on the half-line. Our existence results are based on the Krasnosel'skii fixed point theorem on cone compression and expansion. Nonexistence results are proved under suitable a priori estimates. The nonlinearity $f=f(t,x,y)$ which satisfies upper and lower-homogeneity conditions in the space variables $x, y$ may be also singular at time $t=0$. Two examples of applications are included to illustrate the existence theorems. (English) |
| Keyword:
|
singular nonlinear boundary value problem |
| Keyword:
|
positive solution |
| Keyword:
|
Krasnosel'skii fixed point theorem |
| Keyword:
|
multi-point |
| Keyword:
|
half-line |
| MSC:
|
34B10 |
| MSC:
|
34B16 |
| MSC:
|
34B18 |
| MSC:
|
34B40 |
| idZBL:
|
07250712 |
| idMR:
|
MR4221836 |
| DOI:
|
10.21136/MB.2019.0084-18 |
| . |
| Date available:
|
2020-09-14T15:02:28Z |
| Last updated:
|
2021-04-19 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148351 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
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| . |
