Search results for: lagrangian mechanics

• Mechanik

  Journals

  ISSN: 0025-6552

• Mechanics and Mechanical Engineering

  Journals

  ISSN: 1428-1511 , eISSN: 2354-0192

• CONTINUUM MECHANICS AND THERMODYNAMICS

  Journals

  ISSN: 0935-1175 , eISSN: 1432-0959

• Subharmonic solutions for a class of Lagrangian systems

  Publication

  • A. Bahrouni
  • M. Izydorek
  • J. Janczewska

  - Discrete and Continuous Dynamical Systems-Series S - Year 2019

  We prove that second order Hamiltonian systems with a potential of class C1, periodic in time and superquadratic at infinity with respect to the space variable have subharmonic solutions. Our intention is to generalise a result on subharmonics for Hamiltonian systems with a potential satisfying the global Ambrosetti-Rabinowitz condition from [P. H. Rabinowitz, Proc. Roy. Soc. Edinburgh Sect. A, 114 (1990), 33-38]. Indeed, we weaken...

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• Homoclinics for singular strong force Lagrangian systems

  Publication

  • M. Izydorek
  • J. Janczewska
  • J. Mawhin

  - Advances in Nonlinear Analysis - Year 2020

  We study the existence of homoclinic solutions for a class of generalized Lagrangian systems in the plane, with a C1-smooth potential with a single well of infinite depth at a point ξ and a unique strict global maximum 0 at the origin.Under a strong force condition around the singular point ξ, via minimization of an action integral, we will prove the existence of at least two geometrically distinct homoclinic solutions.

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• Applied Mechanics and Materials

  Journals

  ISSN: 1662-7482

• Archives of Hydro-Engineering and Environmental Mechanics

  Journals

  ISSN: 1231-3726 , eISSN: 2300-8687

• Periodic Solutions of Generalized Lagrangian Systems with Small Perturbations

  Publication

  • J. Janczewska

  - Qualitative Theory of Dynamical Systems - Year 2024

  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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• On the existence of homoclinic type solutions of inhomogenous Lagrangian systems

  Publication

  • J. Ciesielski
  • J. Janczewska
  • N. Waterstraat

  - Differential and Integral Equations - Year 2017

  We study the existence of homoclinic type solutions for a class of inhomogenous Lagrangian systems with a potential satisfying the Ambrosetti-Rabinowitz superquadratic growth condition and a square integrable forcing term. A homoclinic type solution is obtained as a limit of periodic solutions of an approximative sequence of second order differential equations.

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• ENGINEERING FRACTURE MECHANICS

  Journals

  ISSN: 0013-7944 , eISSN: 1873-7315