A nonstandard Volterra integral equation on time scales

DOI10.1515/dema-2019-0042zbMath1444.45004OpenAlexW2996293994MaRDI QIDQ1985717

Andrejs Reinfelds, Shraddha Christian

Publication date: 7 April 2020

Published in: Demonstratio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dema-2019-0042

zbMATH Keywords

time scalesVolterra integral equationsbounded solutioncontinuous dependence

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Volterra integral equations (45D05) Dynamic equations on time scales or measure chains (34N05)

Related Items (3)

Functional Volterra Stieltjes integral equations and applications ⋮ Hyers-Ulam Stability of a Nonlinear Volterra Integral Equation on Time Scales ⋮ On \(J\)-cone metric spaces over a Banach algebra and some fixed-point theorems

Cites Work

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• Analysis on measure chains - a unified approach to continuous and discrete calculus
• Basic qualitative and quantitative results for solutions to nonlinear dynamic equations on time scales with an application to economic modelling
• Properties of some dynamic integral equations on time scales
• On Volterra integral equations on time scales
• On a nonstandard Volterra type dynamic integral equation on time scales

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