Analysis of the Dyson equation for stochastic integral equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 41 (1979) no. 3, pp. 368-377

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On the basis of a previously developed functional method, the mass and vertex functions are obtained in the case of the one-dimensional integral equation for the telegraph, generalized telegraph, and Gaussian processes. The obtained expressions are used to estimate the conditions of applicability of the frequently encountered Kraichnan and Bourret approximations.
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     author = {G. I. Babkin and V. I. Klyatskin},
     title = {Analysis of the {Dyson} equation for stochastic integral equations},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     number = {3},
     year = {1979},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1979_41_3_a6/}
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G. I. Babkin; V. I. Klyatskin. Analysis of the Dyson equation for stochastic integral equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 41 (1979) no. 3, pp. 368-377. http://geodesic.mathdoc.fr/item/TMF_1979_41_3_a6/