| Title:
|
On four-point boundary value problem without growth conditions (English) |
| Author:
|
Rachůnková, Irena |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
49 |
| Issue:
|
2 |
| Year:
|
1999 |
| Pages:
|
241-248 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We prove the existence of solutions of four-point boundary value problems under the assumption that $f$ fulfils various combinations of sign conditions and no growth restrictions are imposed on $f$. In contrast to earlier works all our results are proved for the Carathéodory case. (English) |
| MSC:
|
34B10 |
| MSC:
|
34B15 |
| idZBL:
|
Zbl 0955.34008 |
| idMR:
|
MR1692485 |
| . |
| Date available:
|
2009-09-24T10:22:02Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127484 |
| . |
| Reference:
|
[ke] P. Kelevedjiev: Existence of solutions for two-point boundary value problems.Nonlin. Anal. TMA 22 (1994), 217–224. Zbl 0797.34019, MR 1258957, 10.1016/0362-546X(94)90035-3 |
| Reference:
|
[r2] I. Rachůnková: A four-point problem for differential equations of the second order.Arch. Math. (Brno) 25 (1989), 175–184. MR 1188062 |
| Reference:
|
[r3] I. Rachůnková: Existence and uniqueness of solutions of four-point boundary value problems for 2nd order differential equations.Czechoslovak Math. Journal 39 (114) (1989), 692–700. MR 1018005 |
| Reference:
|
[r4] I. Rachůnková: On a certain four-point problem.Radovi Matem. 8, 1 (1992). MR 1477886 |
| Reference:
|
[r1] I. Rachůnková: An existence theorem of the Leray-Schauder type for four-point boundary value problems.Acta UP Olomucensis, Fac. rer. nat. 100, Math. 30 (1991), 49–59. MR 1166425 |
| Reference:
|
[rs1] I. Rachůnková and S. Staněk: Topological degree methods in functional boundary value problems.Nonlin. Anal. TMA 27 (1996), 153–166. 10.1016/0362-546X(95)00031-P |
| Reference:
|
[rs2] I. Rachůnková and S. Staněk: Topological degree methods in functional boundary value problems at resonance.Nonlin. Anal. TMA 27 (1996), 271–285. 10.1016/0362-546X(95)00060-9 |
| . |
