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

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Submitted: 2025-01-30; Published: 2025-01-30

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Abstract

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.