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Teoreticheskaya i Matematicheskaya Fizika, 1979, Volume 41, Number 3, Pages 368–377
(Mi tmf3069)
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Analysis of the Dyson equation for stochastic integral equations
G. I. Babkin, V. I. Klyatskin
Abstract:
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.
Received: 27.09.1978
Citation:
G. I. Babkin, V. I. Klyatskin, “Analysis of the Dyson equation for stochastic integral equations”, TMF, 41:3 (1979), 368–377; Theoret. and Math. Phys., 41:3 (1979), 1080–1086
Linking options:
https://www.mathnet.ru/eng/tmf3069 https://www.mathnet.ru/eng/tmf/v41/i3/p368
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Abstract page: | 425 | Full-text PDF : | 165 | References: | 73 | First page: | 1 |
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