| Title:
|
A remark on the existence of small solutions to a fourth order boundary value problem with large nonlinearity (English) |
| Author:
|
Pinda, Ľudovít |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
43 |
| Issue:
|
2 |
| Year:
|
1993 |
| Pages:
|
149-170 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34B15 |
| idZBL:
|
Zbl 0779.34022 |
| idMR:
|
MR1274599 |
| . |
| Date available:
|
2009-09-25T10:47:05Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136578 |
| . |
| Reference:
|
[1] DEIMLING K.: Nichtlineare Gleichungen and Abbildungsgrade.Springer-Verlag, Berlin-Heidelberg-New York, 1974. MR 0500322 |
| Reference:
|
[2] DING S. H., MAWHIN J.: A multiplicity result for periodic solutions of higher order ordinary differential equations.Differential Integral Equations 1 (1988), 31-39. Zbl 0715.34086, MR 0920487 |
| Reference:
|
[3] GREGUŠ M., ŠVEC M., ŠEDA V.: Ordinary Differential Equations.(Slovak), Alfa, Bratislava, 1985. |
| Reference:
|
[4] LALOLIX B., MAWHIN J.: Coincidence index and multiplicity.Trans. Amer. Math. Soc. 217 (1976), 143-162. MR 0423138 |
| Reference:
|
[5] LEFTON L.: Existence of small solutions to a resonant boundary value problem with large nonlineanty.J. Differential Equations 85 (1990), 171-185. MR 1052333 |
| Reference:
|
[6] REKTORYS K. ETAL.: Survey of Applied Mathematics.(Czech), SNTL - Nakladatelství technické literatury, Praha, 1963. MR 0158576 |
| Reference:
|
[7] SCHIJUR J. D.: Perturbation at resonance for a fourth order ordinary differential equation.J. Math. Anal. Appl. 65 (1978), 20-25. MR 0487639 |
| Reference:
|
[8] ŠEDA V.: Some remarks to coincidence theory.Czechoslovak Math. J. 38 (113) (1988), 554-572. Zbl 0721.47048, MR 0950308 |
| . |
