Periodic Solutions of Generalized Lagrangian Systems with Small Perturbations

• Joanna Janczewska ^[1]
  1. [1] Gdańsk University of Technology

     Gdańsk University of Technology

     Gdańsk, Polonia

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 23, Nº 4, 2024
• Idioma: inglés
• DOI: 10.1007/s12346-024-01033-9
• Enlaces
  • Texto completo
• Resumen

  • In this paper we study the generalized Lagrangian system with a small perturbation.

    We assume the main term in the system to have a maximum, but do not suppose any condition for perturbation term. Then we prove the existence of a periodic solution via Ekeland’s principle. Moreover, we prove a convergence theorem for periodic solutions of perturbed systems.

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