Geodesic
A resonance problem for nonlinear Duffing equation
Commentationes Mathematicae Universitatis Carolinae, Tome 29 (1988) no. 2, pp. 205-215 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Classification : 34B15, 34B25, 34C15, 34C25 
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Drábek, Pavel. A resonance problem for nonlinear Duffing equation. Commentationes Mathematicae Universitatis Carolinae, Tome 29 (1988) no. 2, pp. 205-215. http://geodesic.mathdoc.fr/item/CMUC_1988_29_2_a0/

[1] AHMAD S.: A resonance problem in which the nonlinearity may grow linearly. Proc. Amer. Math. Soc. 93 (1984), 381-384. | MR

[2] AHMAD S.: Nonselfadjoint resonance problems with unbounded perturbations. Nonlinear Analysis T.M.A. 10 (1986), 147-156. | MR | Zbl

[3] DRÁBEK P.: On the resonance problem with nonlinearity which has arbitrary linear growth. J. Math. Analysis and Appl. 127 (1987), 435-442. | MR

[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

[5] DUNFORD N., SCHWARTZ J. T.: Linear operators. Part I. Interscience Publ., New York, 1958. | MR

[6] FUČÍK S.: Solvability of Nonlinear Equations and Boundary Value Problems. D. Reidel, Dordrecht, 1980. | MR

[7] INVERNIZZI S.: A note on nonuniform nonresonance for jumping nonlinearities. Comment. Math. Univ. Carolinae 27 (1986), 285-291. | MR | Zbl

[8] LANDESMAN E. M., LAZER A. C.: Nonlinear perturbations of linear elliptic boundary value problems at resonance. J. Math. Mech. 19 (1970), 609-623. | MR | Zbl

[9] WARD J. R., Jr.: Asymptotic conditions for periodic solutions of ordinary differential equations. Proc. Amer. Math. Soc. 81 (1981), 415-420. | MR | Zbl