Function Bounds for Solutions of Volterra Integro Dynamic Equations on Time Scales
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Date
2010
Authors
Adivar M.
Journal Title
Journal ISSN
Volume Title
Publisher
University of Szeged
Open Access Color
GOLD
Green Open Access
No
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Publicly Funded
No
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Average
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Top 10%
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Average
Abstract
Introducing shift operators on time scales we construct the integro-dynamic equation corresponding to the convolution type Volterra differential and difference equations in particular cases T = R and T = Z. Extending the scope of time scale variant of Gronwall's inequality we determine function bounds for the solutions of the integro dynamic equation.
Description
Keywords
Function bounds, Gronwall's inequality, Time scales, Volterra integro dynamic equations, QA Mathematics / matematika, QA1-939, Mathematics, Volterra integral equations, time scales, function bounds, convolution, Volterra differential and difference equations, Discrete version of topics in analysis, Volterra integro dynamic equations, Gronwall's inequality
Fields of Science
0101 mathematics, 01 natural sciences
Citation
WoS Q
Q2
Scopus Q
Q3
OpenCitations Citation Count
14
Source
Electronic Journal of Qualitative Theory of Differential Equations
Volume
Issue
Start Page
1
End Page
22
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Citations
CrossRef : 6
Scopus : 33
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Mendeley Readers : 1
SCOPUS™ Citations
33
checked on Mar 16, 2026
Web of Science™ Citations
20
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2
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