2 citations · 4 across the 4 of their papers we have counts for
4 papers
R-holomorphic solutions and R-differentiable integrals of multidimensional differential systems
V. N. Gorbuzov, A. F. Pranevich
We consider multidimensional differential systems (total differential systems and partial differential systems) with R-differentiable coefficients. We investigate the problem of th…
Cylindricality and autonomy of integrals and last multipliers of multidimensional differentional systems
V. N. Gorbuzov
The conditions of cylindricality and autonomy of first integrals, last multipliers and integral manifolds for linear homogeneous systems of partial differential equations and total…
Integral equivalence of multidimensional differential systems
V. N. Gorbuzov
The bases of the theory of integrals for multidimensional differential systems are stated. The integral equivalence of total differential systems, linear homogeneous systems of par…
First integrals of linear differential systems
V. N. Gorbuzov, A. F. Pranevich
We investigate the problem of the existence of first integrals for multidimensional and ordinary linear differential systems with constant coefficients. The spectral method of the…