Fil' B. N.
Category of topological jet manifolds and certain applications in the theory of nonlinear infinite-dimensional dynamical systems
Ukr. Mat. Zh. - 1992. - 44, № 9. - pp. 1242–1256
A new category of topological jet manifolds is proposed for the purpose of investigating exact finite-dimensional approximations of nonlinear dynamical systems on infinite-dimensional functional manifolds. Differential geometry structures on these manifolds and their applications to the theory of integrability in quadratures of nonlinear dynamical Lax-type systems are studied.
Some aspects of a gradient holonomic algorithm in the theory of integrability of nonlinear dynamic systems and computer algebra problems
Ukr. Mat. Zh. - 1991. - 43, № 1. - pp. 78-81
Quantum lie algebra of currents ? The universal algebraic structure of symmetries of completely integrable dynamical systems
Ukr. Mat. Zh. - 1988. - 40, № 6. - pp. 764–768