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 |
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