Existence and multiplicity of solutions for second-order Hamiltonian systems satisfying generalized periodic boundary value conditions at resonance

DOI10.1186/S13661-019-1233-XOpenAlexW2954617258WikidataQ127552931 ScholiaQ127552931MaRDI QIDQ2108338

Ming-Liang Song

Publication date: 19 December 2022

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

Full work available at URL: https://doi.org/10.1186/s13661-019-1233-x

zbMATH Keywords

critical pointindex theorysecond-order Hamiltonian systemsthe least action principlegeneralized periodic boundary value conditionssaddle point reduction theorem

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37Jxx) Qualitative theory for ordinary differential equations (34Cxx) Variational problems in infinite-dimensional spaces (58Exx)

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