A resonance problem for nonlinear Duffing equation

Pavel Drábek

Commentationes Mathematicae Universitatis Carolinae (1988)

  • Volume: 029, Issue: 2, page 205-215
  • ISSN: 0010-2628

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Drábek, Pavel. "A resonance problem for nonlinear Duffing equation." Commentationes Mathematicae Universitatis Carolinae 029.2 (1988): 205-215. <http://eudml.org/doc/17625>.

@article{Drábek1988,
author = {Drábek, Pavel},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Leray-Schauder degree; semilinear periodic problem; forced Duffing equation; resonance},
language = {eng},
number = {2},
pages = {205-215},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {A resonance problem for nonlinear Duffing equation},
url = {http://eudml.org/doc/17625},
volume = {029},
year = {1988},
}

TY - JOUR
AU - Drábek, Pavel
TI - A resonance problem for nonlinear Duffing equation
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1988
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 029
IS - 2
SP - 205
EP - 215
LA - eng
KW - Leray-Schauder degree; semilinear periodic problem; forced Duffing equation; resonance
UR - http://eudml.org/doc/17625
ER -

References

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  1. AHMAD S., A resonance problem in which the nonlinearity may grow linearly, Proc. Amer. Math. Soc. 93 (1984), 381-384. (1984) MR0759657
  2. AHMAD S., Nonselfadjoint resonance problems with unbounded perturbations, Nonlinear Analysis T.M.A. 10 (1986), 147-156. (1986) Zbl0599.35069MR0825213
  3. DRÁBEK P., On the resonance problem with nonlinearity which has arbitrary linear growth, J. Math. Analysis and Appl. 127 (1987), 435-442. (1987) MR0915069
  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. (1986) MR0849954
  5. DUNFORD N., SCHWARTZ J. T., Linear operators. Part I, Interscience Publ., New York, 1958. (1958) MR0117523
  6. FUČÍK S., Solvability of Nonlinear Equations and Boundary Value Problems, D. Reidel, Dordrecht, 1980. (1980) MR0620638
  7. INVERNIZZI S., A note on nonuniform nonresonance for jumping nonlinearities, Comment. Math. Univ. Carolinae 27 (1986), 285-291. (1986) Zbl0603.34016MR0857548
  8. LANDESMAN E. M., LAZER A. C., Nonlinear perturbations of linear elliptic boundary value problems at resonance, J. Math. Mech. 19 (1970), 609-623. (1970) Zbl0193.39203MR0267269
  9. WARD J. R., Jr., Asymptotic conditions for periodic solutions of ordinary differential equations, Proc. Amer. Math. Soc. 81 (1981), 415-420. (1981) Zbl0461.34029MR0597653

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