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Iterative method for solving nonlinear integral equations describing rolling solutions in string theory

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Abstract

We consider a nonlinear integral equation with infinitely many derivatives that appears when a system of interacting open and closed strings is investigated if the nonlocality in the closed string sector is neglected. We investigate the properties of this equation, construct an iterative method for solving it, and prove that the method converges.

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  1. Steklov Mathematical Institute, RAS, Moscow, Russia

    L. V. Joukovskaya

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  1. L. V. Joukovskaya
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 146, No. 3, pp. 402–409, March, 2006.

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Joukovskaya, L.V. Iterative method for solving nonlinear integral equations describing rolling solutions in string theory. Theor Math Phys 146, 335–342 (2006). https://doi.org/10.1007/s11232-006-0043-3

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  • DOI: https://doi.org/10.1007/s11232-006-0043-3

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