Existence and multiplicity of weak quasi-periodic solutions for second order Hamiltonian system

DOI10.1186/S13662-015-0670-9zbMath1422.37043OpenAlexW1879359109WikidataQ59436511 ScholiaQ59436511MaRDI QIDQ1622775

Xing-Yong Zhang

Publication date: 19 November 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-015-0670-9

zbMATH Keywords

variational methodsecond-order Hamiltonian systemsuperquadratic growthweak quasi-periodic solution

Mathematics Subject Classification ID

Hamilton's equations (70H05) Growth and boundedness of solutions to ordinary differential equations (34C11) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

Cites Work

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• Variational approach to quasi-periodic solution of nonautonomous second-order Hamiltonian systems
• Subharmonic solutions for a class of non-quadratic second order Hamiltonian systems
• Calculus of variations in means and convex Lagrangians. III
• Existence and multiplicity of periodic solutions for a class of second-order Hamiltonian systems
• On periodic solutions of non-autonomous second order Hamiltonian systems
• A note on IFN-spaces
• Homoclinic orbits for a singular second order Hamiltonian system
• Periodic and subharmonic solutions of a class of subquadratic second-order Hamiltonian systems
• Periodic solutions of a class of second order non-autonomous Hamiltonian systems
• Calculus of variations in mean and convex Lagrangians
• Critical point theory and Hamiltonian systems
• Almost periodic differential equations
• Some results on connecting orbits for a class of Hamiltonian systems
• Periodic and subharmonic solutions of second-order Hamiltonian systems
• Saddle point characterization and multiplicity of periodic solutions of non-autonomous second-order systems
• Periodic solutions of non-autonomous second order systems
• Homoclinic solutions for a class of the second order Hamiltonian systems
• Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
• Almost periodic solutions of forced second order hamiltonian systems
• Forced quasiperiodic and almost periodic oscillations of nonlinear duffing equations
• Periodic solutions of hamiltonian systems
• Forced systems with almost periodic and quasiperiodic forcing term
• Forced quasiperiodic and almost periodic solution for nonlinear systems
• Calculus of variations in mean and convex Lagrangians, II
• Existence and multiplicity results for homoclinic solutions to a class of Hamiltonian systems
• Minimax Systems and Critical Point Theory
• Solutions of a second-order Hamiltonian system with periodic boundary conditions
• Homoclinic orbits for a class of Hamiltonian systems
• Homoclinic solutions for a class of second-order Hamiltonian systems
• Homoclinic solutions for a class of second-order Hamiltonian systems
• Homoclinic orbits for a class of Hamiltonian systems
• Solutions of a second-order Hamiltonian system with periodic boundary conditions
• Spaces of quasi-periodic functions and oscillations in differential equations

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