Periodic solutions of a class of nonautonomous second-order Hamiltonian systems with nonsmooth potentials

DOI10.1186/s13661-015-0292-xzbMath1319.34069OpenAlexW2098846589WikidataQ59435842 ScholiaQ59435842MaRDI QIDQ2263723

Yan Ning, Tianqing An

Publication date: 19 March 2015

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-015-0292-x

zbMATH Keywords

periodic solutionssaddle point theoremdiscontinuous nonlinearitiessecond-order Hamiltonian systemslocally Lipschitz continuous

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Discontinuous ordinary differential equations (34A36) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50)

Related Items (5)

Multiple periodic solutions for second order Josephson-type differential systems ⋮ Multiplicity of periodic bouncing solutions for sublinear damped variation systems via nonsmooth variational methods ⋮ Generalized nonsmooth saddle point theorem and its applications on second order Hamiltonian systems ⋮ A periodic boundary value problem with switchings under nonlinear perturbations ⋮ Multiplicity of periodic bouncing solutions for generalized impact Hamiltonian systems

Cites Work

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• Existence of Solutions and of Multiple Solutions for Nonlinear Nonsmooth Periodic Systems
• SOME REMARKS ON CRITICAL POINT THEORY FOR LOCALLY LIPSCHITZ FUNCTIONS Work performed under the auspices of G.N.A.M.P.A. of I.N.D.A.M. and partially supported by M.I.U.R. of Italy, 2001.
• Periodic solutions for second order systems with not uniformly coercive potential
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