34 citations · 96 across the 19 of their papers we have counts for
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Factorization in categories of systems of linear partial differential equations
S. P. Tsarev
We start with elementary algebraic theory of factorization of linear ordinary differential equations developed in the period 1880-1930. After exposing these classical results we sk…
On factorization and solution of multidimensional linear partial differential equations
S. P. Tsarev
We describe a method of obtaining closed-form complete solutions of certain second-order linear partial differential equations with more than two independent variables. This method…
Generalized Laplace transformations and integration of hyperbolic systems of linear partial differential equations
Sergey P. Tsarev
We give a new procedure for generalized factorization and construction of the complete solution of strictly hyperbolic linear partial differential equations or strictly hyperbolic…
On rational definite summation
Sergey P. Tsarev
We present a partial proof of van Hoeij-Abramov conjecture about the algorithmic possibility of computation of finite sums of rational functions. The theoretical results proved in…