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Teoreticheskaya i Matematicheskaya Fizika, 2018, Volume 195, Number 1, Pages 44–53
DOI: https://doi.org/10.4213/tmf9363 (Mi tmf9363) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Solvability of a nonlinear integral equation in dynamical string theory

A. Kh. Khachatryan, Kh. A. Khachatryan

Institute of Mathematics, National Academy of Sciences of Armenia, Yerevan, Armenia
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DOI: https://doi.org/10.4213/tmf9363
Abstract: We investigate an integral equation of the convolution type with a cubic nonlinearity on the entire real line. This equation has a direct application in open-string field theory and in $p$-adic string theory and describes nonlocal interactions. We prove that there exists a one-parameter family of bounded monotonic solutions and calculate the limits of solutions constructed at infinity.
Keywords: bounded solution, nonlocal interaction, limit solution, iteration, monotonicity.
Funding agency Grant number
State Committee on Science of the Ministry of Education and Science of the Republic of Armenia SCS 16YR-1A002
This research was supported by the GKN MON RA (Project No. SCS 16YR-1A002).
Received: 03.03.2017
English version:
Theoretical and Mathematical Physics, 2018, Volume 195, Issue 1, Pages 529–537
DOI: https://doi.org/10.1134/S0040577918040049
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. Kh. Khachatryan, Kh. A. Khachatryan, “Solvability of a nonlinear integral equation in dynamical string theory”, TMF, 195:1 (2018), 44–53; Theoret. and Math. Phys., 195:1 (2018), 529–537
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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