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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2019, Volume 53, Issue 1, Pages 17–22 (Mi uzeru539)  
This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

A uniqueness theorem for a nonlinear singular integral equation arising in $p$-adic string theory

A. Kh. Khachatryan, Kh. A. Khachatryan

Institute of Mathematics, National Academy of Sciences of Armenia, Yerevan
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Abstract: We study a singular nonlinear integral equation on the real line that appear in $p$-adic string theory. A uniqueness theorem for this equation in certain class of odd functions is proved. At the end of the paper we give examples, satisfying the conditions of the formulated theorem.
Keywords: Nonlinearity, singularity, bounded solution, $p$-adic string theory.
Funding agency Grant number
State Committee on Science of the Ministry of Education and Science of the Republic of Armenia SCS 18T-1A004
The research was carried out with the financial support GKN MON RA, in the framework of the research project SCS 18T-1A004.
Received: 25.01.2019
Revised: 20.02.2019
Accepted: 02.04.2019
Document Type: Article
MSC: Primary 45G05; Secondary 65R20
Language: English
Citation: A. Kh. Khachatryan, Kh. A. Khachatryan, “A uniqueness theorem for a nonlinear singular integral equation arising in $p$-adic string theory”, Proceedings of the YSU, Physical and Mathematical Sciences, 53:1 (2019), 17–22
Citation in format AMSBIB
\Bibitem{KhaKha19}
\by A.~Kh.~Khachatryan, Kh.~A.~Khachatryan
\paper A uniqueness theorem for a nonlinear singular integral equation arising in $p$-adic string theory
\jour Proceedings of the YSU, Physical and Mathematical Sciences
\yr 2019
\vol 53
\issue 1
\pages 17--22
\mathnet{http://mi.mathnet.ru/uzeru539}
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    		Proceedings of the Yerevan State University, series Physical and Mathematical Sciences
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