Multichain-type solutions for Hamiltonian systems.

Rabinowitz, Paul H.; Coti Zelati, Vittorio

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Variational and penalization methods for studying connecting orbits of Hamiltonian systems.

Chen, Chao-Nien, Tzeng, Shyuh-yaur (2000)

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

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Periodic solutions of second-order nonautonomous dynamical systems.

Schechter, Martin (2006)

Boundary Value Problems [electronic only]

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Scattered homoclinics to a class of time-recurrent Hamiltonian systems

Gregory S. Spradlin (2007)

ESAIM: Control, Optimisation and Calculus of Variations

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A second-order Hamiltonian system with time recurrence is studied. The recurrence condition is weaker than almost periodicity. The existence is proven of an infinite family of solutions homoclinic to zero whose support is spread out over the real line.

Infinitely many periodic solutions for nonautonomous sublinear second-order Hamiltonian systems.

Zhang, Peng, Tang, Chun-Lei (2010)

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Three periodic solutions to an eigenvalue problem for a class of second-order Hamiltonian systems.

Cordaro, Giuseppe (2003)

Abstract and Applied Analysis

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Periodic solutions for some nonautonomous $p (t)$ -Laplacian Hamiltonian systems

Liang Zhang, X. H. Tang (2013)

Applications of Mathematics

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In this paper, we deal with the existence of periodic solutions of the $p (t)$ -Laplacian Hamiltonian system $\{\begin{matrix} \frac{d}{d t} (| \dot{u} (t) |^{p (t) - 2} \dot{u} (t)) = \nabla F (t, u (t)) a.e. t \in [0, T], \\ u (0) - u (T) = \dot{u} (0) - \dot{u} (T) = 0 . \end{matrix}$ Some new existence theorems are obtained by using the least action principle and minimax methods in critical point theory, and our results generalize and improve some existence theorems.

Multibump solutions for an almost periodically forced singular Hamiltonian system.

Rabinowitz, Paul H. (1995)

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

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Existence and multiplicity results for homoclinic orbits of Hamiltonian systems.

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

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Non-collision solutions for a class of planar singular Lagrangian systems.

Boughariou, Morched (2000)

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