A nonstandard Volterra integral equation on time scales

Andrejs Reinfelds; Shraddha Christian

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A nonstandard Volterra integral equation on time scales

机译：A nonstandard Volterra integral equation on time scales

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摘要

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.

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来源
《Demonstratio Mathematica》 |2019年第1期|503-510|共8页
作者
Andrejs Reinfelds; Shraddha Christian;
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作者单位

Institute of Mathematics and Computer Science, University of Latvia;

Department of Mathematics, University of Latvia;

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原文格式 PDF
正文语种英语
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关键词
Volterra integral equations; time scales; bounded solution; continuous dependence;

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A nonstandard Volterra integral equation on time scales

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