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This article is cited in 39 scientific papers (total in 39 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
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.
Received: 26.07.2016
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
Linking options:
https://www.mathnet.ru/eng/im8580https://doi.org/10.1070/IM8580 https://www.mathnet.ru/eng/im/v82/i2/p172
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Abstract page: | 2157 | Russian version PDF: | 109 | English version PDF: | 37 | References: | 178 | First page: | 77 |
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