Evolutionary method of construction of solutions of polynomials and related generalized dynamics
-
Robert M. Yamaleev
iamaleev@servidor.unam.mx
Downloads
DOI:
https://doi.org/10.4067/S0719-06462011000100003Abstract
Invariant theory as a study of properties of polynomials under translational transformations is developed. Class of polynomials with congruent set of eigenvalues is introduced. Evolution equations for eigenvalues and coefficients remaining the polynomial within proper class of polynomials are formulated. The connection with equations for hyper-elliptic Weierstrass and hyper-elliptic Jacobian functions is found. Algorithm of calculation of eigenvalues of the polynomials based on the evolution process is elaborated. Elements of the generalized dynamics with n-order characteristic polynomials are built.
Keywords
Similar Articles
- Svetlin G. Georgiev, Khaled Zennir, New approach to prove the existence of classical solutions for a class of nonlinear parabolic equations , CUBO, A Mathematical Journal: Vol. 20 No. 2 (2018)
- Khalida Aissani, Mouffak Benchohra, Nadia Benkhettou, On Fractional Integro-differential Equations with State-Dependent Delay and Non-Instantaneous Impulses , CUBO, A Mathematical Journal: Vol. 21 No. 1 (2019)
- Valeriu Popa, Weakly Picard pairs of multifunctions , CUBO, A Mathematical Journal: Vol. 12 No. 1 (2010): CUBO, A Mathematical Journal
- Manuel Pinto, Nonlinear Impulsive Differential Systems , CUBO, A Mathematical Journal: Vol. 2 No. 1 (2000): CUBO, Matemática Educacional
- Amal Ghandouri, Hatem Mejjaoli, Slim Omri, On generalized Hardy spaces associated with singular partial differential operators , CUBO, A Mathematical Journal: Vol. 25 No. 2 (2023)
- J. Henderson, S.K. Ntouyas, I.K. Purnaras, Positive Solutions for Systems of Three-point Nonlinear Boundary Value Problems with Deviating Arguments , CUBO, A Mathematical Journal: Vol. 11 No. 3 (2009): CUBO, A Mathematical Journal
- Muhammad N. Islam, Youssef N. Raffoul, Bounded Solutions and Periodic Solutions of Almost Linear Volterra Equations , CUBO, A Mathematical Journal: Vol. 11 No. 3 (2009): CUBO, A Mathematical Journal
- Mircea Balaj, Donal O‘Regan, An Intersection Theorem and its Applications , CUBO, A Mathematical Journal: Vol. 10 No. 4 (2008): CUBO, A Mathematical Journal
- Abdelhai Elazzouzi, Khalil Ezzinbi, Mohammed Kriche, On the periodic solutions for some retarded partial differential equations by the use of semi-Fredholm operators , CUBO, A Mathematical Journal: Vol. 23 No. 3 (2021)
- Sahar M. A. Maqbol, R. S. Jain, B. S. Reddy, On stability of nonlocal neutral stochastic integro differential equations with random impulses and Poisson jumps , CUBO, A Mathematical Journal: Vol. 25 No. 2 (2023)
<< < 8 9 10 11 12 13 14 15 16 17 18 19 > >>
You may also start an advanced similarity search for this article.
Downloads
Download data is not yet available.
Published
2011-03-01
How to Cite
[1]
R. M. Yamaleev, “Evolutionary method of construction of solutions of polynomials and related generalized dynamics”, CUBO, vol. 13, no. 1, pp. 25–43, Mar. 2011.
Issue
Section
Articles
