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Symmetries and first integrals in the mechanics of infinite-dimensional systems was reported. The equation 1 can be an ordinary differential equation, a partial differential equation
On the Existence of Global Compactly Supported Weak Solutions of the Vlasov–Poisson System with an External Magnetic FieldWe consider the first mixed problem for the Vlasov–Poisson system with an external magnetic field
Attractor property for terminal manifold in control synthesis problem function depending on the state space vector. After substituting to the system of ordinary differential
On the algorithmic linearizability of nonlinear ordinary differential equationsSolving nonlinear ordinary differential equations is one of the fundamental and practically
On a new type of solving procedure for Euler–Poisson equations (rigid body rotation over the fixed point): the Euler–Poisson equations are reduced to a system of three nonlinear ordinary differential equations
Algorithmic verification of linearizability for ordinary differential equationsFor a nonlinear ordinary differential equation solved with respect to the highest order derivative
Application of covering mappings to constrained dynamic systems and differential inclusions and for control systems with mixed constraints, whose dynamics are given by controlled ordinary differential
Symbolic Investigation of Eigenvectors for General Solution of a System of ODEs with a Symbolic Coefficient Matrix of a system of ordinary differential equations (ODEs) with symbolically defined constant coefficients
The projective geometric theory of systems of second-order differential equations: Straightening and symmetry theoremsIn the framework of the projective geometric theory of systems of differential equations, which
On a new type of solving procedure for Laplace tidal equation ordinary differential equations of 1st order with regards to 3 components of the flow velocity (depending
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