Ground state homoclinic solutions for damped vibration systems with periodicity

DOI10.1007/s12591-024-00696-9MaRDI QIDQ6667672

Mohsen Timoumi

Publication date: 20 January 2025

Published in: Differential Equations and Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

variational methodsconcentration compactness principleperiodic potentialsdamped vibration systemsground state homoclinic solutions

Mathematics Subject Classification ID

Hamilton's equations (70H05) Existence theories for optimal control problems involving partial differential equations (49J20) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Cites Work

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• Fast homoclinic solutions for a class of damped vibration problems
• Fast homoclinic solutions for some second order non-autonomous systems
• Existence and multiplicity of homoclinic orbits for second order Hamiltonian systems without \((AR)\) condition
• The existence of homoclinic solutions for second-order Hamiltonian systems with periodic potentials
• Subharmonic and homoclinic solutions for second order Hamiltonian systems with new superquadratic conditions
• Periodic nonlinear Schrödinger equation with application to photonic crystals
• The concentration-compactness principle in the calculus of variations. The locally compact case. II
• Existence and multiplicity of homoclinic orbits for the second order Hamiltonian systems
• Infinitely many homoclinic orbits for the second-order Hamiltonian systems with super-quadratic potentials
• Homoclinics for asymptotically quadratic and superquadratic Hamiltonian systems
• Ground state solutions for some indefinite variational problems
• Existence of homoclinic solution for the second order Hamiltonian systems.
• On ground-state homoclinic orbits of a class of superquadratic damped vibration systems
• Even homoclinic orbits for a class of damped vibration systems
• Some results on connecting orbits for a class of Hamiltonian systems
• Minimax theorems
• Generalized linking theorem with an application to a semilinear Schrödinger equation
• Ground state solutions for Hamiltonian elliptic systems with super or asymptotically quadratic nonlinearity
• Existence of even homoclinic orbits for second-order Hamiltonian systems
• Existence of homoclinic solutions for second order Hamiltonian systems with general potentials
• Non-Nehari manifold method for asymptotically periodic Schrödinger equations
• Homoclinic solutions for a class of the second order Hamiltonian systems
• Infinitely many homoclinic solutions for a second-order Hamiltonian system
• Ground State Solutions of Nehari–Pankov Type for a Superlinear Hamiltonian Elliptic System on ℝ^N
• Homoclinic Orbits for Second Order Hamiltonian Systems Possessing Superquadratic Potentials
• AN ASYMPTOTICALLY PERIODIC SCHRÖDINGER EQUATION WITH INDEFINITE LINEAR PART
• Existence and multiplicity results for homoclinic solutions to a class of Hamiltonian systems
• Fast homoclinic solutions for a class of damped vibration problems with subquadratic potentials
• Homoclinic orbits for a class of Hamiltonian systems

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