Two solutions to superlinear Hamiltonian systems with impulsive effects

DOI10.1016/J.AML.2019.106162zbMath1443.37049OpenAlexW2990774512WikidataQ126641957 ScholiaQ126641957MaRDI QIDQ2187112

Wenguang Yu, Jian Liu

Publication date: 2 June 2020

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2019.106162

zbMATH Keywords

variational methodsHamiltonian systemsimpulsive effectstwo non-zero solutions

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Boundary value problems with impulses for ordinary differential equations (34B37) Action-minimizing orbits and measures for finite-dimensional Hamiltonian and Lagrangian systems; variational principles; degree-theoretic methods (37J51)

Related Items (6)

Two solutions to Kirchhoff-type fourth-order implusive elastic beam equations ⋮ Multiple solutions for a Kirchhoff-type second-order impulsive differential equation on the half-line ⋮ Existence of triple solutions for elliptic equations driven by \(p\)-Laplacian-like operators with Hardy potential under Dirichlet-Neumann boundary conditions ⋮ Triple solutions for elliptic Dirichlet problems with a parameter ⋮ Infinitely many rotating periodic solutions for local superquadratic damped Hamiltonian systems with sublinear impulsive effects ⋮ Periodic solutions to second-order nonlinear differential equations in Banach spaces

Cites Work

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• Multiple solutions to damped Hamiltonian systems with impulsive effects
• Triple solutions for a damped impulsive differential equation
• Variational approach to second--order damped Hamiltonian systems with impulsive effects
• Relations between the mountain pass theorem and local minima

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