| Title:
|
Landesman Lazer type results for first order periodic problems (English) |
| Author:
|
O'Regan, Donal |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
38 |
| Issue:
|
2 |
| Year:
|
1997 |
| Pages:
|
297-308 |
| . |
| Category:
|
math |
| . |
| Summary:
|
Existence of nonnegative solutions are established for the periodic problem $y'=f(t,y)$ a.e\. on $[0,T]$, $y(0)=y(T)$. Here the nonlinearity $f$ satisfies a Landesman Lazer type condition. (English) |
| Keyword:
|
periodic |
| Keyword:
|
existence |
| Keyword:
|
Landesman Lazer |
| MSC:
|
34A05 |
| MSC:
|
34A12 |
| MSC:
|
34B15 |
| MSC:
|
47H15 |
| MSC:
|
47N20 |
| idZBL:
|
Zbl 0893.34012 |
| idMR:
|
MR1455497 |
| . |
| Date available:
|
2009-01-08T18:31:00Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118928 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
[3] Granas A., Guenther R.B., Lee J.W.: Some general existence principles in the Carathéodory theory of nonlinear differential systems.J. Math. Pures et Appl. 70 (1991), 153-196. Zbl 0687.34009, MR 1103033 |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
[7] Nkashama M.N., Santanilla J.: Existence of multiple solutions for some nonlinear boundary value problems.J. Diff. Eqns. 84 (1990), 148-164. Zbl 0693.34011, MR 1042663 |
| Reference:
|
[8] O'Regan D.: Theory of Singular Boundary Value Problems.World Scientific Press, Singapore, 1994. Zbl 0807.34028, MR 1286741 |
| Reference:
|
[9] Yosida K.: Functional Analysis.Springer Verlag, Berlin, 1980. Zbl 0830.46001, MR 0617913 |
| . |
