A UNIQUENESS THEOREM FOR A NONLINEAR SINGULAR INTEGRAL EQUATION ARISING IN $ p $-ADIC STRING THEORY

A.Kh. Khachatryan; Kh.A. Khachatryan

doi:10.46991/PYSU:A/2019.53.1.017

A UNIQUENESS THEOREM FOR A NONLINEAR SINGULAR INTEGRAL EQUATION ARISING IN $ p $-ADIC STRING THEORY

Authors

A.Kh. Khachatryan Institute of Mathematics, National Academy of Sciences, Armenia
Kh.A. Khachatryan Institute of Mathematics, National Academy of Sciences, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2019.53.1.017

Keywords:

nonlinearity, singularity, bounded solution, $ p $-adic string theory

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.

Downloads

Published

2019-04-15

How to Cite

Khachatryan, A., & Khachatryan, K. (2019). A UNIQUENESS THEOREM FOR A NONLINEAR SINGULAR INTEGRAL EQUATION ARISING IN $ p $-ADIC STRING THEORY. Proceedings of the YSU A: Physical and Mathematical Sciences, 53(1 (248), 17–22. https://doi.org/10.46991/PYSU:A/2019.53.1.017