Multiple homoclinic solutions for nonsmooth second-order differential systems

DOI10.4171/zaa/1735zbMath1548.34051MaRDI QIDQ6546011

Mohsen Timoumi

Publication date: 29 May 2024

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

zbMATH Keywords

variational methodshomoclinic solutionsClark theoremnonsmooth differential systems

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Cites Work

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• New conditions on homoclinic solutions for a subquadratic second order Hamiltonian system
• Fast homoclinic solutions for a class of damped vibration problems
• Existence and multiplicity of fast homoclinic solutions for a class of nonlinear second-order nonautonomous systems in a weighted Sobolev space
• Homoclinic orbits for the second-order Hamiltonian systems
• Existence and multiplicity of homoclinic solutions for a class of damped vibration problems
• Fast homoclinic solutions for some second order non-autonomous systems
• Infinitely many homoclinic solutions for second-order Hamiltonian systems with odd nonlinearities
• Infinitely many homoclinic orbits for Hamiltonian systems with indefinite sign subquadratic potentials
• Homoclinic solutions for a second-order Hamiltonian system with a positive semi-definite matrix
• Homoclinic orbits for second order Hamiltonian systems with asymptotically linear terms at infinity
• Homoclinic solutions for a class of second order Hamiltonian systems with locally defined potentials
• Infinitely many homoclinic orbits for the second order Hamiltonian systems with general potentials
• Infinitely many homoclinic solutions for second order Hamiltonian systems
• Existence of homoclinic solutions for a class of 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
• Infinitely many homoclinic solutions for a class of second-order Hamiltonian systems
• Multiple homoclinic solutions for a class of nonhomogeneous Hamiltonian systems
• Infinitely many fast homoclinic solutions for a class of superquadratic damped vibration systems
• Multiplicity and concentration of homoclinic solutions for some second order Hamiltonian systems
• Superquadratic or asymptotically quadratic Hamiltonian systems: ground state homoclinic orbits
• Existence of homoclinic solutions for second order Hamiltonian systems with general potentials
• Homoclinic solutions for a class of the second order Hamiltonian systems
• Homoclinic solutions for some second order non-autonomous Hamiltonian systems without the globally superquadratic condition
• Infinitely many homoclinic solutions for a second-order Hamiltonian system
• A Variant of Clark's Theorem and Its Applications for Nonsmooth Functionals without the Palais--Smale Condition
• 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
• Infinitely many homoclinic solutions for perturbed second-order Hamiltonian systems with subquadratic potentials
• Homoclinic solutions for a class of second-order Hamiltonian systems
• Existence of homoclinic orbits for second order Hamiltonian systems without (AR) condition
• Homoclinic solutions for a class of second-order Hamiltonian systems
• Homoclinic solutions for a class of second-order Hamiltonian systems

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