The matrix renewal equation on the whole line with submultiplicative inhomogeneous term Full article
| Journal |
Journal of Mathematical Sciences (United States)
ISSN: 1072-3374 , E-ISSN: 1573-8795 |
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| Output data | Year: 2022, Volume: 266, Number: 6, Pages: 967–980 Pages count : 14 DOI: 10.1007/s10958-022-06245-5 | ||
| Tags | Matrix renewal equation · Nonlattice matrix measure · Submultiplicative function · Asymptotic behavior | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0004 |
Abstract:
We consider the matrix renewal equation on the whole line, whose kernel is a nonlattice matrix measure. The inhomogeneous term behaves like a submultiplicative function up to a constant vector. Asymptotic properties of the solution are established depending on the asymptotics of the submultiplicative function.
Cite:
Sgibnev M.S.
The matrix renewal equation on the whole line with submultiplicative inhomogeneous term
Journal of Mathematical Sciences (United States). 2022. V.266. N6. P.967–980. DOI: 10.1007/s10958-022-06245-5 Scopus РИНЦ OpenAlex
The matrix renewal equation on the whole line with submultiplicative inhomogeneous term
Journal of Mathematical Sciences (United States). 2022. V.266. N6. P.967–980. DOI: 10.1007/s10958-022-06245-5 Scopus РИНЦ OpenAlex
Dates:
| Published print: | Oct 20, 2022 |
| Accepted: | Dec 9, 2022 |
| Published online: | Feb 16, 2023 |
Identifiers:
| Scopus: | 2-s2.0-85148093250 |
| Elibrary: | 59123249 |
| OpenAlex: | W4320880013 |
Citing:
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