Existence of positive homoclinic solutions for damped differential equations

DOI10.1007/s11117-017-0471-3zbMath1379.34038OpenAlexW2581469043MaRDI QIDQ1683273

Adel Daouas, Monia Boujlida

Publication date: 6 December 2017

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-017-0471-3

zbMATH Keywords

mountain pass theoremPalais-Smale conditionhomoclinic solutiondamped differential equation

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 (1)

On fast homoclinic solutions for second-order damped difference equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fast homoclinic solutions for a class of damped vibration problems
• Infinitely many homoclinic solutions for damped vibration problems with subquadratic potentials
• On symmetric positive homoclinic solutions of semilinear \(p\)-Laplacian differential equations
• Existence of homoclinic solutions for a class of second-order Hamiltonian systems with subquadratic growth
• 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
• Infinitely many homoclinic solutions for some second order Hamiltonian systems
• Homoclinic orbits for a class of Hamiltonian systems with superquadratic or asymptotically quadratic 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 solution for the second order Hamiltonian systems.
• Some results on connecting orbits for a class of Hamiltonian systems
• Fast and heteroclinic solutions for a second order ODE related to Fisher-Kolmogorov's equation
• Minimax theorems
• Positive homoclinic solutions for a class of second order differential equations
• Biomathematical model of aneurysm of the circle of Willis. I: The Duffing equation and some approximate solutions
• Biomathematical model of aneurysm of the circle of Willis: a qualitative analysis of the differential equation of Austin
• Homoclinic solutions for a class of the second order Hamiltonian systems
• Bounded and homoclinic-like solutions of a second-order singular differential equation
• Homoclinic Orbits for Second Order Hamiltonian Systems Possessing Superquadratic Potentials
• Homoclinic orbits for a special class of non autonomous Hamiltonian systems
• 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
• Homoclinic orbits for a class of Hamiltonian systems

This page was built for publication: Existence of positive homoclinic solutions for damped differential equations