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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
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Category: math
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MSC: 34B15
MSC: 34B25
MSC: 34C15
MSC: 34C25
idZBL: Zbl 0646.34051
idMR: MR957386
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Date available: 2008-06-05T21:33:01Z
Last updated: 2012-04-28
Stable URL: http://hdl.handle.net/10338.dmlcz/106627
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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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