EUDML | Harmonic solutions to perturbations of periodic separated variables ODEs on manifolds.

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Displaying similar documents to “Harmonic solutions to perturbations of periodic separated variables ODEs on manifolds.”

Multiplicity of forced oscillations for scalar differential equations.

Furi, Massimo, Pera, Maria Patrizia, Spadini, Marco (2001)

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Existence of periodic solutions for semilinear parabolic equations

Norimichi Hirano, Noriko Mizoguchi (1996)

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In this paper, we are concerned with the semilinear parabolic equation ∂u/∂t - Δu = g(t,x,u) if $(t, x) \in R_{+} \times Ω$ u = 0 if $(t, x) \in R_{+} \times \partial Ω$ , where $Ω \subset R^{N}$ is a bounded domain with smooth boundary ∂Ω and $g : R_{+} \times \bar{Ω} \times R \to R$ is T-periodic with respect to the first variable. The existence and the multiplicity of T-periodic solutions for this problem are shown when g(t,x,ξ)/ξ lies between two higher eigenvalues of - Δ in Ω with the Dirichlet boundary condition as ξ → ±∞.

Liénard type $p$ -Laplacian neutral Rayleigh equation with a deviating argument.

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Existence of positive periodic solutions for neutral functional differential equations.

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