The existence of periodic solution for infinite dimensional Hamiltonian systems

DOI10.1016/j.camwa.2019.06.035zbMath1450.35140arXiv1810.07932OpenAlexW2896111191WikidataQ127497651 ScholiaQ127497651MaRDI QIDQ2004495

Qi Wang, Weibing Deng, Wunming Han

Publication date: 7 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.07932

zbMATH Keywords

method of saddle point reductiontopology degree and the index

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Variational methods applied to PDEs (35A15) Degree theory for nonlinear operators (47H11) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Semilinear parabolic equations (35K58) Initial-boundary value problems for second-order parabolic systems (35K51)

Cites Work

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• Ground state solutions for a diffusion system
• Homoclinic solutions of an infinite-dimensional Hamiltonian system
• A new index theory for linear self-adjoint operator equations and its applications
• The relative Morse index theory for infinite dimensional Hamiltonian systems with applications
• Periodic solutions of an infinite-dimensional Hamiltonian system
• Periodic solutions to an unbounded Hamiltonian system
• Homoclinic orbits for an unbounded superquadratic Hamiltonian systems
• Ground states for diffusion system with periodic and asymptotically periodic nonlinearity
• On a class of infinite-dimensional Hamiltonian systems with asymptotically periodic nonlinearities
• Periodic solutions of an infinite dimensional Hamiltonian system