A nonstandard Volterra integral equation on time scales
Abstract: This paper introduces the more general result on existence, uniqueness and boundedness for solutions of nonstandard Volterra type integral equation on an arbitrary time scales. We use Lipschitz type function and the Banach’s fixed point theorem at functional space endowed with a suitable Bielecki type norm. Furthermore, it allows to get new sufficient conditions for boundedness and continuous dependence of solutions.
- Standort
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Deutsche Nationalbibliothek Frankfurt am Main
- Umfang
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Online-Ressource
- Sprache
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Englisch
- Erschienen in
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A nonstandard Volterra integral equation on time scales ; volume:52 ; number:1 ; year:2019 ; pages:503-510 ; extent:8
Demonstratio mathematica ; 52, Heft 1 (2019), 503-510 (gesamt 8)
- Urheber
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Reinfelds, Andrejs
Christian, Shraddha
- DOI
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10.1515/dema-2019-0042
- URN
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urn:nbn:de:101:1-2411181515459.911230072847
- Rechteinformation
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Letzte Aktualisierung
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15.08.2025, 07:22 MESZ
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Beteiligte
- Reinfelds, Andrejs
- Christian, Shraddha
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