Перегляд за автором "Prykarpatsky, Y.A."

Результати 1-3 з 3

On the Lagrangian and Hamiltonian aspects of infinite-dimensional dynamical systems and their finite-dimensional reductions

Prykarpatsky, Y.A.; Samoilenko, A.M. (Нелінійні коливання, 2005)

Some aspects of the description of Lagrangian and Hamiltonian formalisms naturally arising from the invariance structure of given nonlinear dynamical systems on the infinite-dimensional functional manifold is presented. ...
Steen – Ermakov – Pinney equation and integrable nonlinear deformation of one-dimensional Dirac equation

Prykarpatsky, Y.A. (Нелінійні коливання, 2017)

The paper deals with nonlinear one-dimensional Dirac equation. We describe its invariants set by means of the deformed linear Dirac equation, using the fact that two ordinary differential equations are equivalent if their ...
The generalized De Rham-Hodge theory of Delsarte transmutation operators in multidimension case and its applications

Prykarpatsky, Y.A.; Samoilenko, A.M. (Нелінійні коливання, 2004)

A study of spectral and differential-geometric properties of Delsarte transmutation operators is given. Their differential geometrical and topological structure in multidimension is analyzed, the relationships with ...

Результати 1-3 з 3

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