Results 31 to 40 of about 4,072,499 (360)

ALGEBRAIC EQUATIONS WITH LINEAR SHIFT OPERATORS ON SEQUENCES [PDF]

open access: yesRomanian Journal of Mathematics and Computer Science, 2016
In this note we recall (see also [8]) the structure of all recurrent sequences which satisfy a fixed recurrence relation, with entries in a perfect field.
SEVER ANGEL POPESCU
doaj  

Analytical Solutions of Schr\"odinger Equation for the diatomic molecular potentials with any angular momentum [PDF]

open access: yes, 2012
Analytical solutions of the Schrodinger equation are obtained for some diatomic molecular potentials with any angular momentum. The energy eigenvalues and wave functions are calculated exactly.
Akcay, Huseyin, Sever, Ramazan
core   +3 more sources

SOLUTION OF ALGEBRAIC EQUATIONS BY THE METHOD OF АITKEN-NIKIPORTS

open access: yesНаука. Инновации. Технологии, 2022
Presents analytical expressions representing all the roots of a random algebraic equation of the n-th degree through the ratio of the original equation. These formulas consist of two relations infnite Toeplitz determinants, diagonal elements of which are
Gennadiy Anatol'yevich Kirichenko   +2 more
doaj  

Generic planar algebraic vector fields are disintegrated

open access: yes, 2020
In this article, we study model-theoretic properties of algebraic differential equations of order $2$, defined over constant differential fields. In particular, we show that the set of solutions of a general differential equation of order $2$ and of ...
Jaoui, Rémi
core   +2 more sources

Denumerability of the Algebraic Numbers

open access: yesDavao Research Journal, 2000
An algebraic number is a real number that is a root of a polynomial equation anXn + an-1Xn-1…+a0 where ai are integers. In this paper, using the fact that a polynomial equation of degree n has at most n roots, together with some results, the ...
Marleonie Bauyot
doaj   +1 more source

Global algebraic Poincaré–Bendixson annulus for the Rayleigh equation

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2023
We consider the Rayleigh equation $\ddot{x} + \lambda (\dot{x}^2/3-1)\dot{x} +x=0$ depending on the real parameter $\lambda$ and construct a Poincaré–Bendixson annulus $\mathcal{A}_\lambda$ in the phase plane containing the unique limit cycle $\Gamma_ ...
Alexander Grin, Klaus Schneider
doaj   +1 more source

Modified Extended Lie-Group Method for Hessenberg Differential Algebraic Equations with Index-3

open access: yesMathematics, 2023
Hessenberg differential algebraic equations (Hessenberg-DAEs) with a high index play a critical role in the modeling of mechanical systems and multibody dynamics.
Juan Tang, Jianguang Lu
doaj   +1 more source

An algebraic Birkhoff decomposition for the continuous renormalization group

open access: yes, 2004
This paper aims at presenting the first steps towards a formulation of the Exact Renormalization Group Equation in the Hopf algebra setting of Connes and Kreimer.
Brouder C.   +17 more
core   +2 more sources

An elementary double inequality for the roots of an algebraic equation having greatest absolute value

open access: yes, 1915
LET there be given an algebraic equation of the nth degree written x + CnAaix + Cnt2a2X + h an = 0, where (7n,i, Cn$, • • • denote binomial coefficients.
G. Birkhoff
semanticscholar   +1 more source

An approximation method for the solution of nonlinear integral equations [PDF]

open access: yes, 2006
A Chebyshev collocation method has been presented to solve nonlinear integral equations in terms of Chebyshev polynomials. This method transforms the integral equation to a matrix equation which corresponds to a system of nonlinear algebraic equations ...
Akyuz-Dascioglu, A, Yaslan, HC
core   +3 more sources

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