Existence and multiplicity of fast homoclinic solutions for a class of nonlinear second-order nonautonomous systems in a weighted Sobolev space

DOI10.1155/2015/495040zbMath1325.34061OpenAlexW1606425962WikidataQ59112842 ScholiaQ59112842MaRDI QIDQ490930

Qiongfen Zhang, Yu'an Li

Publication date: 21 August 2015

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/495040

Mathematics Subject Classification ID

Applications of variational problems in infinite-dimensional spaces to the sciences (58E50) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Nonautonomous smooth dynamical systems (37C60)

Related Items (5)

Existence of fast homoclinic solutions for a class of second-order damped vibration systems ⋮ Existence and concentration of nontrivial solutions for an elastic beam equation with local nonlinearity ⋮ Fast homoclinic orbits for a class of damped vibration systems ⋮ Unnamed Item ⋮ Infinitely many fast homoclinic solutions of damped vibration systems with superquadratic conditions or combined nonlinearities

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fast homoclinic solutions for a class of damped vibration problems
• Existence of fast homoclinic orbits for a class of second-order non-autonomous problems
• Positive solutions for quasilinear Schrödinger equations with critical growth and potential vanishing at infinity
• Fast homoclinic solutions for some second order non-autonomous systems
• Periodic and heteroclinic orbits for a periodic Hamiltonian system
• On a class of damped vibration problems with super-quadratic potentials
• On homoclinic and heteroclinic orbits of Hamiltonian systems
• Existence and multiplicity of fast homoclinic solutions for a class of damped vibration problems with impulsive effects
• Fast and heteroclinic solutions for a second order ODE related to Fisher-Kolmogorov's equation
• On a class of forced vibration problems with obstacles
• On variational methods for a class of damped vibration problems
• Homoclinic solutions for a class of the second order Hamiltonian systems
• Existence of homoclinic solutions for a class of asymptotically quadratic non-autonomous Hamiltonian systems
• A Trudinger-Moser inequality in a weighted Sobolev space and applications
• Existence of homoclinic solutions for a class of second-order non-autonomous Hamiltonian systems
• Existence and multiplicity results for homoclinic solutions to a class of Hamiltonian systems
• Existence of infinitely many homoclinic orbits in Hamiltonian systems

This page was built for publication: Existence and multiplicity of fast homoclinic solutions for a class of nonlinear second-order nonautonomous systems in a weighted Sobolev space