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.

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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

Issue

Section

Mathematics