Document Zbl 0646.34051

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A resonance problem for nonlinear Duffing equation. (English) Zbl 0646.34051

Commentat. Math. Univ. Carol. 29, No. 2, 205-215 (1988).

The purpose of this paper is to study a semilinear periodic problem for the forced Duffing equation at resonance. Nonlinear perturbation is allowed to grow linearly. Also some nonuniform nonresonance conditions concerning the nonlinear perturbation are discussed.

Cited in 2 Documents

MSC:

34C25	Periodic solutions to ordinary differential equations
34B15	Nonlinear boundary value problems for ordinary differential equations
34C15	Nonlinear oscillations and coupled oscillators for ordinary differential equations

Keywords:

Leray-Schauder degree; semilinear periodic problem; forced Duffing equation; resonance

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