Geodesic
Iterative method for solving nonlinear integral equations describing rolling solutions in string theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 146 (2006) no. 3, pp. 402-409

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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.
Keywords: string theory, nonlinear integral equation, iterative method. 
@article{TMF_2006_146_3_a3,
     author = {L. V. Zhukovskaya},
     title = {Iterative method for solving nonlinear integral equations describing rolling solutions in string theory},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {402--409},
     publisher = {mathdoc},
     volume = {146},
     number = {3},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2006_146_3_a3/}
}
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L. V. Zhukovskaya. Iterative method for solving nonlinear integral equations describing rolling solutions in string theory. Teoretičeskaâ i matematičeskaâ fizika, Tome 146 (2006) no. 3, pp. 402-409. http://geodesic.mathdoc.fr/item/TMF_2006_146_3_a3/