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Lie algebras of the operators and three-dimensional polynomial differential systems.
Authors: Gherştega Natalia, Popa Mihail
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Abstract
The defining equations are built for the representation of continuous groups in the space of variables and coefficients of multi-dimensional polynomial differential systems of the first order. Lie theorem on integrating factor is obtained for three-dimensional polynomial differential systems and the invariant GL(3, R)-integrals are constructed for three-dimensional affine differential system.E-mail:
Fulltext
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Contents
- On orthogonality of binary operations and squares.
- On the lattice of closed classes of modules.
- Lie algebras of the operators and three-dimensional polynomial differential systems.
- On a Functional Equation with a Group Isotopy Property.
- Left exact radicals in module categories over principal ideal domains.
- An approximate solution of the Fredholm type equation of the second kind for any λ ≠ 0
- On a criterion of normality for mappings.
- Strong Stability of Linear Symplectic Actions and the Orbit Method.
