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http://hdl.handle.net/10773/31020| Title: | New convolutions associated with the Mellin transform and their applications in integral equations |
| Author: | Castro, L. P. Silva, A. S. Tuan, N. M. |
| Keywords: | Convolution Mellin transform Convolution operator Factorization Integral equations of the convolution type |
| Issue Date: | 2020 |
| Publisher: | Element |
| Abstract: | In this paper, we introduce two new convolutions associated with the Mellin transform which exhibit factorization properties upon the use of certain weight functions. This is applied to the solvability analysis of classes of integral equations. In particular, we present sufficient conditions for the solvability of an integral equation and a system of integral equations of convolution type. |
| Peer review: | yes |
| URI: | http://hdl.handle.net/10773/31020 |
| DOI: | 10.7153/jca-2020-16-08 |
| ISSN: | 1848-5979 |
| Publisher Version: | http://jca.ele-math.com/16-08/New-convolutions-associated-with-the-Mellin-transform-and-their-applications-in-integral-equations |
| Appears in Collections: | CIDMA - Artigos DMat - Artigos FAAG - Artigos |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 2021PostPrintCST.pdf | 319.12 kB | Adobe PDF | View/Open |
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