Variational approach to second-order impulsive dynamic equations on time scales

DOI10.1186/1687-2770-2013-119zbMath1297.34102arXiv1302.4666OpenAlexW2098367981WikidataQ59300478 ScholiaQ59300478MaRDI QIDQ2251113

Victoria Otero-Espinar, Tania Pernas-Castaño

Publication date: 11 July 2014

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

Full work available at URL: https://arxiv.org/abs/1302.4666

zbMATH Keywords

time scalescritical point theoryvariational techniquesimpulsive dynamic equationssecond-order boundary value problem

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) Dynamic equations on time scales or measure chains (34N05)

Related Items (3)

Homoclinic orbits for a class of second order dynamic equations on time scales via variational methods ⋮ Quasilinear boundary value problem with impulses: variational approach to resonance problem ⋮ An application of variational approach to a class of damped vibration problems with impulsive effects on time scales

Cites Work

• Time scale differential, integral, and variational embeddings of Lagrangian systems
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• Variational approach to some damped Dirichlet nonlinear impulsive differential equations
• Dynamic equations on time scales and generalized ordinary differential equations
• New definitions of exponential, hyperbolic and trigonometric functions on time scales
• Variational approach to a class of second order Hamiltonian systems on time scales
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• Variational approach to impulsive differential equations
• Extremal solutions of second order impulsive dynamic equations on time scales
• Existence of multiple positive solutions for second order nonlinear dynamic BVPs by variational methods
• Multiple positive solutions of singular Dirichlet problems on time scales via variational methods
• Triple positive solutions of boundary value problems for \(p\)-Laplacian impulsive dynamic equations on time scales
• A second-order boundary value problem with impulsive effects on an unbounded domain
• Positive solutions for three-point boundary value problems with dependence on the first order derivative.
• Singular boundary value problems for first and second order impulsive differential equations
• Necessary optimality conditions for higher-order infinite horizon variational problems on time scales
• Multiple positive solutions of singular second order boundary value problems with derivative dependence
• Wirtinger's Inequalities on Time Scales

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