Integrals of multidimensional differential systems.
Main publications:
Gorbuzov V. N., Pranevich A. F., “Spectral method of jacobian systems integral basic in partial equations construction”, J. Differential equations and control processes, 2001, no. 3, 17–45
Gorbuzov V. N., Pranevich A. F., “Building of integrals for linear differential systems”, Vestnik of the Grodno State University, 2003, № 2(22), 50–60
Gorbuzov V. N., Pranevich A. F., “Integrals of R-linear systems of exact differentials”, Transactions of the National Academy of Sciences of Belarus (Doklady NAN of Belarus), 48:1 (2004), 49–52
Gorbuzov V. N., Pranevich A. F., “Autonomy and cylindricality of R-differentiable integrals for systems in total differentials”, J. Differential equations and control processes, 2008, № 1, 35–49
Gorbuzov V. N., Pranevich A. F., First integrals of linear differential systems, 0806.4155, 2008
A. F. Pranevich, “On Poisson’s Theorem of Building First Integrals for Ordinary Differential Systems”, Rus. J. Nonlin. Dyn., 15:1 (2019), 87–96
2016
2.
A. F. Pranevich, “Poisson theorem of building autonomous integrals for autonomous systems of total differential equations”, PFMT, 2016, no. 3(28), 52–57
2015
3.
A. F. Pranevich, P. B. Pauliuchyk, “About integrals of linear nonautonomous multidimensional differential systems which are integrated in closed form”, PFMT, 2015, no. 2(23), 65–71