Rotation numbers for Lagrangian systems and Morse theory

Vieri Benci; Alberto Abbondandolo

Displaying similar documents to “Rotation numbers for Lagrangian systems and Morse theory”

An existence result on periodic solutions of an ordinary $p$ -Laplacian system.

Zhang, Xingyong, Zhou, Peixiang (2011)

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

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Nontrivial periodic solutions of asymptotically linear Hamiltonian systems.

Fei, Guihua (2001)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Existence of periodic solutions for second-order neutral differential equations.

Li, Yongjin (2005)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Existence of periodic solution for perturbed generalized Liénard equations.

Boussaada, Islam, Chouikha, A.Raouf (2006)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Existence of periodic solutions for semilinear parabolic equations

Norimichi Hirano, Noriko Mizoguchi (1996)

Banach Center Publications

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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 → ±∞.

Multiple periodic solutions for Hamiltonian systems with singular potential

Addolorata Salvatore (1992)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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In this Note we prove the existence of infinitely many periodic solutions of prescribed period for a Hamiltonian system with a singular potential.

Existence of $T$ -periodic solutions for a class of lagrangian systems

Elvira Mirenghi, Maria Tucci (1990)

Rendiconti del Seminario Matematico della Università di Padova

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A note on nontrivial periodic solutions of dynamical systems with subquadratic potential.

L. Sánchez (1994)

Revista Matemática de la Universidad Complutense de Madrid

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We obtain non-constant periodic solutions for a class of second-order autonomous dynamic systems whose potential is subquadratic at infinity. We give a theorem on conjugate points for convex potentials.

On periodic solutions of superquadratic Hamiltonian systems.

Fei, Guihua (2002)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Multiple periodic solutions of some forced hamiltonian systems and the generalized saddle point theorem.

Mohsen Timoumi (1992)

Collectanea Mathematica

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