A nonstandard Volterra integral equation on time scales-Reference-Cited by-同舟云学术

A nonstandard Volterra integral equation on time scales

Published:2019-01-01 Issue:1 Volume:52 Page:503-510
ISSN:2391-4661
Container-title:Demonstratio Mathematica
language:en
Short-container-title:

Author:

Reinfelds Andrejs¹,Christian Shraddha²

Affiliation:

1. Institute of Mathematics and Computer Science , University of Latvia , 29 Raiņa bulvāris, Rīga , LV-1459 ; Department of Mathematics , University of Latvia , 3 Jelgavas iela, LV- 1004 , Rīga , Latvia

2. Department of Mathematics , University of Latvia , 3 Jelgavas iela, LV- 1004 , Rīga , Latvia

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/dema-2019-0042/pdf

Reference11 articles.

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