A UNIQUENESS THEOREM FOR A NONLINEAR SINGULAR INTEGRALEQUATION ARISING IN p-ADIC STRING THEORY

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A UNIQUENESS THEOREM FOR A NONLINEAR SINGULAR INTEGRALEQUATION ARISING IN p-ADIC STRING THEORY Khachatryan Khachatryan

We study a singular nonlinear integral equation on the real line that appearinp-adic string theory. A uniqueness theorem for this equation in certain classof odd functions is proved. At the end of the paper we give examples, satisfyingthe conditions of the formulated theorem.

DOI: 10.46991/PYSU:A/2019.53.1.017 Physical and Mathematical Sciences, 53(1 (248) 17-22

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Keywords

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

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