Continuous dependence for impulsive functional dynamic equations involving variable time scales

DOI10.1016/j.amc.2013.05.058zbMath1329.34144OpenAlexW2144990858MaRDI QIDQ905310

Marcia Federson, Jaqueline Godoy Mesquita, Martin J. Bohner

Publication date: 19 January 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2013.05.058

zbMATH Keywords

dynamic equationtime scalecontinuous dependencemeasure functional differential equation

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Functional equations for real functions (39B22) Dynamic equations on time scales or measure chains (34N05)

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Cites Work

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• Dynamic equations on time scales and generalized ordinary differential equations
• Measure functional differential equations and functional dynamic equations on time scales
• Henstock-Kurzweil delta and nabla integrals
• Introduction to functional differential equations
• Generalized linear differential equations in a Banach space: continuous dependence on a parameter
• A note on continuous dependence of solutions of dynamic equations on time scales
• Convergence of time scales under the Fell topology
• Basic results for functional differential and dynamic equations involving impulses
• A Riemann-Type Integral of Lebesgue Power