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Izvestiya: Mathematics, 2018, Volume 82, Issue 2, Pages 407–427
DOI: https://doi.org/10.1070/IM8580 (Mi im8580) 		 
This article is cited in 38 scientific papers (total in 38 papers)

On the solubility of certain classes of non-linear integral equations in $p$-adic string theory

Kh. A. Khachatryan

Institute of Mathematics, National Academy of Sciences of Armenia, Yerevan
English version PDF (341 kB) Citations (38)
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DOI: https://doi.org/10.1070/IM8580
Abstract: We study classes of non-linear integral equations that have immediate application to $p$-adic mathematical physics and to cosmology. We prove existence and uniqueness theorems for non-trivial solutions in the space of bounded functions.
Keywords: $p$-adic string, non-linear equation, iterations, monotonicity of a solution, limit of a solution.
Funding agency Grant number
State Committee on Science of the Ministry of Education and Science of the Republic of Armenia SCS 16YR-1A002
The work was financially supported by the State Committee of Science of the Ministry of Education and Science of Armenia in the framework of Scientific Project no. SCS 16YR-1A002.
Received: 26.07.2016
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2018, Volume 82, Issue 2, Pages 172–193
DOI: https://doi.org/10.4213/im8580
Bibliographic databases:
Document Type: Article
UDC: 517.968.4+512.625.5
MSC: Primary 45G10; Secondary 65R20
Language: English
Original paper language: Russian
Citation: Kh. A. Khachatryan, “On the solubility of certain classes of non-linear integral equations in $p$-adic string theory”, Izv. RAN. Ser. Mat., 82:2 (2018), 172–193; Izv. Math., 82:2 (2018), 407–427
Citation in format AMSBIB
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    • This publication is cited in the following 38 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:2124
    Russian version PDF:105
    English version PDF:31
    References:171
    First page:77
     
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