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Symmetries and first integrals in the mechanics of infinite-dimensional systems of these equations. The first integrals of the equations of motion for infinite-dimensional systems acquire numerous

The derivation of integration-fragmentation equations in the Becker-Döring case-Döring case. From the continuum integration-fragmentation equation we derived a new equation which we call

On integral invariants of the Birkhoff's equations forinfinite-dimensional systemsOn integral invariants of the Birkhoff's equations forinfinite-dimensional systems

On the connection between first integrals, integral invariants and potentiality of evolutionary equations and absolute integral invariants of some evolutionary equations similarly to the case of dynamics of finite

On an example of a system of differential equations that are integrated in Abelian functions depends algebraically on the constants of integration, then integrating this equation does not lead out

Modelling of dynamics of mechanical systems with regard for constraint stabilization of inertial system's properties, can be specified by the constraint equations. Nikolay Zhukovskiy studied two

Convergence of approximate solutions to two-dimensional singular integral equation with Cauchy kernel in the integral metrics solvability of the resulting system of linear algebraic equations in the integral metric is proven.

On Some Examples of Systems of Transcendent EquationsThis article discusses examples of transcendent systems of equations of a general form. The residue

Solvability of one nonlinear boundary-value problem for a system of differential equations of the theory of shallow Timoshenko-type shells of the initial system of equations to one nonlinear operator equation is used to study the problem

On a new type of solving procedure for Euler–Poisson equations (rigid body rotation over the fixed point). Meanwhile, the Euler–Poisson system of equations has been successfully explored for the existence

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