42 citations
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math.AP2013★ 2 cited
Intertwining Laplace Transformations of Linear Partial Differential Equations
Elena I. Ganzha
We propose a generalization of Laplace transformations to the case of linear partial differential operators (LPDOs) of arbitrary order in R^n. Practically all previously proposed d…
math.AP2006
Exact solutions of hyperbolic systems of kinetic equations. Application to Verhulst model with random perturbation
E. I. Ganzha, V. M. Loginov, S. P. Tsarev
For hyperbolic first-order systems of linear partial differential equations (master equations), appearing in description of kinetic processes in physics, biology and chemistry we p…