The existence of solutions for dynamic inclusions on time scales via duality

DOI10.1016/j.aml.2012.01.026zbMath1254.34129arXiv1201.4495OpenAlexW1973630189WikidataQ57650961 ScholiaQ57650961MaRDI QIDQ712570

Ewa Girejko, Delfim F. M. Torres

Publication date: 17 October 2012

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

Full work available at URL: https://arxiv.org/abs/1201.4495

zbMATH Keywords

existence of solutionsviabilitytime scale calculuscontrol systems on time scalesdynamic equations and inclusions

Mathematics Subject Classification ID

Ordinary differential inclusions (34A60) Control problems involving ordinary differential equations (34H05) Fractional ordinary differential equations (34A08) Dynamic equations on time scales or measure chains (34N05)

Related Items (7)

Duality problems with second-order polyhedral discrete and differential inclusions ⋮ Multiplicity results for systems of first order dynamic inclusions on time scales ⋮ On consensus in the Cucker-Smale type model on isolated time scales ⋮ Existence of three positive solutions to some \(p\)-Laplacian boundary value problems ⋮ Existence results for systems of first-order nabla dynamic inclusions on time scales ⋮ Solutions of systems with the Caputo-Fabrizio fractional delta derivative on time scales ⋮ Krause's model of opinion dynamics on isolated time scales

Cites Work

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• Calculus of variations on time scales with nabla derivatives
• Ważewski's method for systems of dynamic equations on time scales
• Noether's symmetry theorem for nabla problems of the calculus of variations
• The Hahn quantum variational calculus
• Euler-Lagrange equations for composition functionals in calculus of variations on time scales
• Generalizing the variational theory on time scales to include the delta indefinite integral
• A general backwards calculus of variations via duality
• Analysis on measure chains - a unified approach to continuous and discrete calculus
• Diamond-\(\alpha \) Jensen's inequality on time scales
• Avoidance control on time scales
• Dynamic equations on time scales: A survey
• First order dynamic inclusions on time scales
• Existence of solutions for second-order dynamic inclusions
• An application of time scales to economics
• Noether's theorem on time scales
• Inequalities on Time Scales: A Survey
• Isoperimetric Problems on Time Scales with Nabla Derivatives
• Backward linear control systems on time scales
• Second Order Dynamic Inclusions
• Strong minimizers of the calculus of variations on time scales and the Weierstrass condition
• A Generic Classification of Time-Optimal Planar Stabilizing Feedbacks
• Some linear and nonlinear integral inequalities on time scales in two independent variables
• Set-valued analysis

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