Continuous dependence of solutions of abstract generalized linear differential equations with potential converging uniformly with a weight

DOI10.1186/1687-2770-2014-71zbMath1303.45001OpenAlexW2121024021WikidataQ59322709 ScholiaQ59322709MaRDI QIDQ472262

Milan Tvrdý, Giselle Antunes Monteiro

Publication date: 19 November 2014

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

Full work available at URL: https://doi.org/10.1186/1687-2770-2014-71

zbMATH Keywords

linear integral equationscontinuous dependenceKurzweil-Stieltjes integralabstract generalized differential equationtime scale dynamics

Mathematics Subject Classification ID

Abstract integral equations, integral equations in abstract spaces (45N05) Linear integral equations (45A05)

Related Items (1)

Closure properties for integral problems driven by regulated functions via convergence results

Cites Work

• Dynamic equations on time scales and generalized ordinary differential equations
• Boundary-value problems for systems of ordinary differential equations
• On a boundary value problem for scalar linear functional differential equations
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• Concrete Functional Calculus
• Continuous dependence of solutions of differential equations on a parameter
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• Linear Stieltjes integral equations in Banach spaces
• On the Equivalence of Certain Notions of Bounded Variation
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