Existence of nontrivial weak homoclinic orbits for second-order impulsive differential equations

DOI10.1186/1687-2770-2012-138zbMath1283.34024OpenAlexW2120870641WikidataQ59290697 ScholiaQ59290697MaRDI QIDQ384528

Hongbo Duan, Hui Fang

Publication date: 28 November 2013

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2012-138

Mathematics Subject Classification ID

Applications of variational problems in infinite-dimensional spaces to the sciences (58E50) Boundary value problems with impulses for ordinary differential equations (34B37) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (3)

Variational approach to impulsive problems: a survey of recent results ⋮ Existence and multiplicity of fast homoclinic solutions for a class of damped vibration problems with impulsive effects ⋮ Existence of homoclinic solutions for a class of second order \(p\)-Laplacian systems with impulsive effects

Cites Work

• Subharmonic solutions with prescribed minimal period for some second-order impulsive differential equations
• An application of variational method to second-order impulsive differential equation on the half-line
• Periodic and homoclinic solutions generated by impulses for asymptotically linear and sublinear Hamiltonian system
• On the lowest eigenvalue of the Laplacian for the intersection of two domains
• Variational approach to impulsive differential equations
• The existence and multiplicity of solutions for an impulsive differential equation with two parameters via a variational method
• Solitary waves with prescribed speed on infinite lattices
• Chaos in singular impulsive O.D.E.
• Existence of infinitely many homoclinic orbits in Hamiltonian systems
• Homoclinic solutions for a class of second-order Hamiltonian systems
• Homoclinic solutions for a class of second-order Hamiltonian systems
• Homoclinic solutions for nonautonomous second-order Hamiltonian systems with a coercive potential

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