Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Rational bases of GL(2, R)-comitants and of GL(2, R)-invariants for the planar system of differential equations with nonlinearities of the fourth degree
Authors: Ciubotaru Stanislav
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Abstract
This paper is devoted to the construction of minimal rational bases of $GL(2,\mathbb{R})$-comitants and minimal rational bases of $GL(2, \mathbb{R})$-invariants for the bidimensional system of differential equations with nonlinearities of the fourth degree. For this system, three minimal rational bases of $GL(2, \mathbb{R})$-comitants and two minimal rational bases of $GL(2, \mathbb{R})$-invariants were constructed. It was established that any minimal rational basis of $GL(2,\mathbb{R})$-comitants contains 13 comitants and each minimal rational basis of $GL(2, \mathbb{R})$-invariants contains 11 invariants.Institute of Mathematics and Computer Science
Academy of Sciences of Moldova
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Academy of Sciences of Moldova
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Fulltext
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Contents
- On certain subclasses of analytic functions associated with generalized struve functions
- Rational bases of GL(2, R)-comitants and of GL(2, R)-invariants for the planar system of differential equations with nonlinearities of the fourth degree
- Certain classes of p-valent analytic functions with negative coefficients and (lambda,p)-starlike with respect to certain points
- Third Hankel determinant for the inverse of reciprocal of bounded turning functions
- Generating Cubic Equations as a Method for Public Encryption
- Determining the Distribution of the Duration of Stationary Games for Zero-Order Markov Processes with Final Sequence of States
- Cubic differential systems with two affine real non-parallel invariant straight lines of maximal multiplicity
- A Parametric Scheme for Online Uniform-Machine Scheduling to Minimize the Makespan
- On the absence of finite approximation relative to model completeness in propositional provability logic
- Alexei Cașu (Kashu). On his 75th Anniversary.
