Existence of solutions for a class of damped vibration problems on time scales

DOI10.1155/2010/727486zbMath1216.34102OpenAlexW2002667813WikidataQ59253431 ScholiaQ59253431MaRDI QIDQ623597

Jianwen Zhou, Li Yong Kun

Publication date: 8 February 2011

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/229163

zbMATH Keywords

critical point theoryvariational methodtime scaledamped vibration problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Dynamic equations on time scales or measure chains (34N05)

Related Items (5)

Variational approach to a class of \(p\)-Laplacian systems on time scales ⋮ Solutions for a class of Hamiltonian systems on time scales with non-local boundary conditions ⋮ An application of variational approach to delay Hamiltonian systems on time scales with impulses ⋮ Variational approach to a class of second order Hamiltonian systems on time scales ⋮ Fractional Sobolev's spaces on time scales via conformable fractional calculus and their application to a fractional differential equation on time scales

Cites Work

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• Existence of positive periodic solutions for functional differential equations with impulse effects on time scales
• Existence of positive solutions for singular boundary value problem on time scales
• \(L^{2}\) spaces and boundary value problems on time-scales
• Multiple positive solutions of singular Dirichlet problems on time scales via variational methods
• Existence of weak solutions of two-point boundary value problems for second-order dynamic equations on time scales
• Sobolev's spaces on time scales and its applications to a class of second order Hamiltonian systems on time scales
• Critical point theory and Hamiltonian systems
• Basic calculus on time scales and some of its applications
• Sturm-Liouville eigenvalue problems on time scales
• Integration on time scales.
• Existence theory for positive solutions to one-dimensional \(p\)-Laplacian boundary value problems on time scales
• Existence and approximation of extremal solutions to first-order infinite systems of functional dynamic equations
• Basic properties of Sobolev's spaces on time scales
• Periodic solutions for a neutral nonlinear dynamical equation on a time scale
• Eigenfunction expansions in \(L^{2}\) spaces for boundary value problems on time-scales

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