A uniqueness theorem for a nonlinear singular integral equation arising in $p$-adic string theory
Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 53 (2019) no. 1, pp. 17-22
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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.
@article{UZERU_2019_53_1_a2,
author = {A. Kh. Khachatryan and Kh. A. Khachatryan},
title = {A uniqueness theorem for a nonlinear singular integral equation arising in $p$-adic string theory},
journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
pages = {17--22},
publisher = {mathdoc},
volume = {53},
number = {1},
year = {2019},
language = {en},
url = {http://geodesic.mathdoc.fr/item/UZERU_2019_53_1_a2/}
}
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A. Kh. Khachatryan; Kh. A. Khachatryan. A uniqueness theorem for a nonlinear singular integral equation arising in $p$-adic string theory. Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 53 (2019) no. 1, pp. 17-22. http://geodesic.mathdoc.fr/item/UZERU_2019_53_1_a2/