| Title:
             | 
A resonance problem for nonlinear Duffing equation (English) | 
| Author:
             | 
Drábek, Pavel | 
| Language:
             | 
English | 
| Journal:
             | 
Commentationes Mathematicae Universitatis Carolinae | 
| ISSN:
             | 
0010-2628 (print) | 
| ISSN:
             | 
1213-7243 (online) | 
| Volume:
             | 
29 | 
| Issue:
             | 
2 | 
| Year:
             | 
1988 | 
| Pages:
             | 
205-215 | 
| . | 
| Category:
             | 
math | 
| . | 
| MSC:
             | 
34B15 | 
| MSC:
             | 
34B25 | 
| MSC:
             | 
34C15 | 
| MSC:
             | 
34C25 | 
| idZBL:
             | 
Zbl 0646.34051 | 
| idMR:
             | 
MR957386 | 
| . | 
| Date available:
             | 
2008-06-05T21:33:01Z | 
| Last updated:
             | 
2012-04-28 | 
| Stable URL:
             | 
http://hdl.handle.net/10338.dmlcz/106627 | 
| . | 
| Reference:
             | 
[1] AHMAD S.: A resonance problem in which the nonlinearity may grow linearly.Proc. Amer. Math. Soc. 93 (1984), 381-384. MR 0759657 | 
| Reference:
             | 
[2] AHMAD S.: Nonselfadjoint resonance problems with unbounded perturbations.Nonlinear Analysis T.M.A. 10 (1986), 147-156. Zbl 0599.35069, MR 0825213 | 
| Reference:
             | 
[3] DRÁBEK P.: On the resonance problem with nonlinearity which has arbitrary linear growth.J. Math. Analysis and Appl. 127 (1987), 435-442. MR 0915069 | 
| Reference:
             | 
[4] DRÁBEK P., INVERNIZZI S.: On the periodic BVP for the forced Duffing equation with jumping nonlinearity.Nonlinear Analysis T.M.A. 10 (1986), 643-650. MR 0849954 | 
| Reference:
             | 
[5] DUNFORD N., SCHWARTZ J. T.: Linear operators. Part I.Interscience Publ., New York, 1958. MR 0117523 | 
| Reference:
             | 
[6] FUČÍK S.: Solvability of Nonlinear Equations and Boundary Value Problems.D. Reidel, Dordrecht, 1980. MR 0620638 | 
| Reference:
             | 
[7] INVERNIZZI S.: A note on nonuniform nonresonance for jumping nonlinearities.Comment. Math. Univ. Carolinae 27 (1986), 285-291. Zbl 0603.34016, MR 0857548 | 
| Reference:
             | 
[8] LANDESMAN E. M., LAZER A. C.: Nonlinear perturbations of linear elliptic boundary value problems at resonance.J.  Math. Mech. 19 (1970), 609-623. Zbl 0193.39203, MR 0267269 | 
| Reference:
             | 
[9] WARD J. R., Jr.: Asymptotic conditions for periodic solutions of ordinary differential equations.Proc. Amer. Math. Soc. 81 (1981), 415-420. Zbl 0461.34029, MR 0597653 | 
| . |