A nonstandard Volterra integral equation on time scales
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 ty...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2019-12-01
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| Series: | Demonstratio Mathematica |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/dema-2019-0042 |
| _version_ | 1818576251431944192 |
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| author | Reinfelds Andrejs Christian Shraddha |
| author_facet | Reinfelds Andrejs Christian Shraddha |
| author_sort | Reinfelds Andrejs |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-16T06:11:03Z |
| format | Article |
| id | doaj.art-41bce7c96ae44ec49ff10e8d2dd3c2d4 |
| institution | Directory Open Access Journal |
| issn | 2391-4661 |
| language | English |
| last_indexed | 2024-12-16T06:11:03Z |
| publishDate | 2019-12-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Demonstratio Mathematica |
| spelling | doaj.art-41bce7c96ae44ec49ff10e8d2dd3c2d42022-12-21T22:41:24ZengDe GruyterDemonstratio Mathematica2391-46612019-12-0152150351010.1515/dema-2019-0042dema-2019-0042A nonstandard Volterra integral equation on time scalesReinfelds Andrejs0Christian Shraddha1Institute 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, LatviaDepartment of Mathematics, University of Latvia, 3 Jelgavas iela, LV-1004, Rīga, LatviaThis 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.https://doi.org/10.1515/dema-2019-0042volterra integral equationstime scalesbounded solutioncontinuous dependence45d0545g1034n05 |
| spellingShingle | Reinfelds Andrejs Christian Shraddha A nonstandard Volterra integral equation on time scales Demonstratio Mathematica volterra integral equations time scales bounded solution continuous dependence 45d05 45g10 34n05 |
| title | A nonstandard Volterra integral equation on time scales |
| title_full | A nonstandard Volterra integral equation on time scales |
| title_fullStr | A nonstandard Volterra integral equation on time scales |
| title_full_unstemmed | A nonstandard Volterra integral equation on time scales |
| title_short | A nonstandard Volterra integral equation on time scales |
| title_sort | nonstandard volterra integral equation on time scales |
| topic | volterra integral equations time scales bounded solution continuous dependence 45d05 45g10 34n05 |
| url | https://doi.org/10.1515/dema-2019-0042 |
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