Existence of periodic solutions of sublinear Hamiltonian systems

DOI10.1007/s10114-016-4162-yzbMath1344.34049OpenAlexW2330396029MaRDI QIDQ287979

Wei Ding, Chao Wang, Qian, Dingbian, Zhi Guo Wang

Publication date: 23 May 2016

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-016-4162-y

zbMATH Keywords

periodic solutionscritical pointsimpactsbouncing solutionsnonsmooth saddle point theorem

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50)

Related Items (4)

Periodic bouncing solutions for Hill's type sub-linear oscillators with obstacles ⋮ Multiplicity of periodic bouncing solutions for sublinear damped variation systems via nonsmooth variational methods ⋮ Subharmonic bouncing solutions for a class of sublinear impact oscillators with indefinite weight ⋮ Generalized nonsmooth saddle point theorem and its applications on second order Hamiltonian systems

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• Periodic solutions for nonautonomous second order systems with sublinear nonlinearity
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• Periodic Motions of Linear Impact Oscillators via the Successor Map
• Periodic solutions of second order differential equations with an obstacle

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