Abstract:
Using the methods of the theory of stochastic processes, the formula was obtained to transform path intagrals related with the third order differential equations in the path reparametrization (new time substitution). The integral relation between Green's functions of the third order differential equations has been derived.
Citation:
S. N. Storchak, “Path reparametrization in path integrals for third-order differential equations”, TMF, 94:3 (1993), 375–385; Theoret. and Math. Phys., 94:3 (1993), 265–271
This publication is cited in the following 2 articles:
S. N. Storchak, “Reonomic homogenious contact transformations and path reparametrization in path integrals over quasi-measures”, Theoret. and Math. Phys., 111:2 (1997), 576–582
S. N. Storchak, “Nonstationary generalized Duru–Kleinert transformation of path integrals for systems of differential equations in the one-dimensional space”, Theoret. and Math. Phys., 109:1 (1996), 1260–1268