On the relationship between functional integrals and differential equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 11 (1972) no. 2, pp. 182-189
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The Green's function of a pseudo-differential equation of parabolic type is represented as a functional integral . The dependence of the integral on the method of finite-dimensional interpolation of the paths $p(\tau)$ and $q(\tau)$ is investigated.
@article{TMF_1972_11_2_a4,
author = {A. L. Alimov},
title = {On the relationship between functional integrals and differential equations},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {182--189},
year = {1972},
volume = {11},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1972_11_2_a4/}
}
A. L. Alimov. On the relationship between functional integrals and differential equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 11 (1972) no. 2, pp. 182-189. http://geodesic.mathdoc.fr/item/TMF_1972_11_2_a4/
[1] R. Feynmann, Phys. Rev., 84 (1951), 108 | DOI
[2] E. Kerner, W. Sutcliffe, J. Math. Phys., 11 (1970), 391 | DOI
[3] L. Cohen, J. Math. Phys., 11 (1970), 3296 | DOI | Zbl
[4] F. A. Berezin, TMF, 6 (1971), 194 | MR | Zbl
[5] V. S. Buslaev, Problemy matematicheskoi fiziki, no. 2, LGU, 1967
[6] A. L. Alimov, V. S. Buslaev, Vestn. LGU, 1971 (to appear)
[7] M. A. Evgrafov, DAN SSSR, 191 (1970), 979 | MR | Zbl
[8] E. V. Maikov, S. V. Fomin, DAN SSSR, 149 (1963), 525 | MR | Zbl
[9] Zh. Lions, E. Madzhenes, Neodnorodnye granichnye zadachi i ikh primenenie, «Mir», 1971 | MR | Zbl