| Title:
|
On some three-point problems for third-order differential equations (English) |
| Author:
|
Rachůnková, Irena |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
117 |
| Issue:
|
1 |
| Year:
|
1992 |
| Pages:
|
98-110 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
This paper is concerned with existence and uniqueness of solutions of the three-point problem $u'''=f(t,u,u',u''), u(c)=0,u'(a)=u'(b). u''(a)=u''(b), a\leq c\leq b$. The problem is at resonance, in the sense that the associated linear problem has non-trivial solutions. We use the method of lower and upper solutions. (English) |
| Keyword:
|
existence |
| Keyword:
|
uniqueness |
| Keyword:
|
three-point mixed problem |
| Keyword:
|
method of lower and upper solutions |
| Keyword:
|
lower and upper solutions |
| Keyword:
|
resonance |
| Keyword:
|
Carathéodory conditions |
| MSC:
|
34B10 |
| MSC:
|
34B15 |
| idZBL:
|
Zbl 0759.34020 |
| idMR:
|
MR1154059 |
| DOI:
|
10.21136/MB.1992.126232 |
| . |
| Date available:
|
2009-09-24T20:50:35Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/126232 |
| . |
| 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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| . |
