Approximate controllability of semi-linear stochastic integro-differential equations with infinite delay
IMA Journal of Mathematical Control and Information, ISSN: 1471-6887, Vol: 37, Issue: 4, Page: 1133-1167
2020
- 8Citations
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Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
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Metrics Details
- Citations8
- Citation Indexes8
- CrossRef1
Article Description
In this work, by constructing fundamental solutions and using the theory of resolvent operators and fractional powers of operators, we study the approximate controllability of a class of semi-linear stochastic integro-differential equations with infinite delay in L space (2 < p < ∞). Sufficient conditions for approximate controllability of the discussed equations are obtained under the assumption that the associated deterministic linear system is approximately controllable. An example is provided to illustrate the obtained results.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=85100627292&origin=inward; http://dx.doi.org/10.1093/imamci/dnz040; https://academic.oup.com/imamci/article/37/4/1133/5739888; http://academic.oup.com/imamci/article-pdf/37/4/1133/34912219/dnz040.pdf; https://dx.doi.org/10.1093/imamci/dnz040
Oxford University Press (OUP)
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