| Title:
|
Landesman-Lazer type problems at an eigenvalue of odd multiplicity (English) |
| Author:
|
Pinda, Ľudovít |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
30 |
| Issue:
|
2 |
| Year:
|
1994 |
| Pages:
|
73-84 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The aim of this paper is to establish some a priori bounds for solutions of Landesman-Lazer problem. We show the application for the solution structure of the nonlinear differential equation of the fourth order (English) |
| Keyword:
|
completely continuous mapping |
| Keyword:
|
linear projection |
| Keyword:
|
Fredholm operator of index zero |
| Keyword:
|
Cauchy function |
| Keyword:
|
Hilbert-Schmidt operator |
| Keyword:
|
algebraic multiplicity |
| MSC:
|
34B15 |
| MSC:
|
34B27 |
| MSC:
|
34C25 |
| MSC:
|
47H15 |
| MSC:
|
47N20 |
| idZBL:
|
Zbl 0819.34020 |
| idMR:
|
MR1292560 |
| . |
| Date available:
|
2008-06-06T21:25:44Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107497 |
| . |
| Reference:
|
[1] Greguš, M., Švec, M., Šeda, V.: Obyčajné diferenciálne rovnice.Alfa, 1985. |
| Reference:
|
[2] Hutson, V. C. L., Pym, J. S.: Applications of Functional Analysis and Operator Theory.Academie Press, London, New York, Toronto, Sydney, San Francisco, 1980. MR 0569354 |
| Reference:
|
[3] Mawhin, J., Schmitt, K.: Lamdesman–Lazer type problems a an eigenvalue of odd multiplicity.Results in Mathematics 14 (1988), 138-146. MR 0956010 |
| Reference:
|
[4] Pinda, L.: On a fourth order periodic boundary value problem.Arch. Math. (Brno) 30 (1994), no. 1, 1-8. Zbl 0808.34020, MR 1282107 |
| Reference:
|
[5] Šeda, V.: Some remarks to coincidence theory.Czechoslovak Matematical Journal 38 (1988), no. 113, 554-572. MR 0950308 |
| . |
