Abstract

Homogeneous reonomic contact transformations and path reparametrizations in functional integrals with respect to quasimeasures are considered for linear fourth-order parabolic differential equations with coefficients explicitly depending on time. An integral relation between the Green’s functions is found for fourth-order differential equations that correspond to each other. In a special case, the differential operator of the transformed equation coincides with the Bol conformally covariant operator, which is well known in exactly integrable and conformal models.

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