Nonlinear Algebraic Systems of Equations with Many Variables
[1]
Rakhshanda Dzhabarzadeh, Institute Mathematics and Mechanics of NAS Azerbaijan, Baku, Azerbaijan.
In this work the criterion for the existence of the common eigenvalues of the several operator pencils in Hilbert spaces is proved. The author gives the new manner for the study of nonlinear algebraic system of equations, when the number of equations is more or equal to the number of variables. For the studying of this problem the author uses essentially the criterion of the existence of the common solutions of the nonlinear several algebraic equations with many variables. With the help of the notion of the resultant for two polynomials the existence and the number of the common solutions of the nonlinear several algebraic systems of equations with many variables are determined.
Eigenvalue, Algebraic Equations, Resultant, Tensor Product, Space, Criterion
[1]
Balinskii A.I (Балинский) Generation of notions of Bezutiant and Resultant DAN of Ukr. SSR, ser.ph.-math and tech. of sciences, 1980, 2. (in Russian).
[2]
Dzhabarzadeh R.M. On existence of common eigen value of some operator-bundles, that depends polynomial on parameter. Baku.International Topology conference, 3-9 oct., 1987, Tez. 2, Baku, 1987, p.93.
[3]
Dzhabarzadeh R.M. On solutions of nonlinear algebraic systems with two variables. Pure and Applied Mathematics Journal, vol. 2, No. 1, pp. 32-37, 2013
[4]
Dzhabarzadeh RM. Nonlinear algebraic equations Lambert Academic Publishing, 2013, p. 101 (in Russian)
[5]
Dzhabarzadeh R.M. Nonlinear algebraic system with three unknowns variables. International Journal of Research Engineering and Science (IJRES), www.ijres.org, Volume2, Issue 6,14 June, 2014, pp 54-59
[6]
Khayniq (Хайниг Г). Abstract analog of Resultant for two polynomial bundles Functional analyses and its applications, 1977, 2,no. 3, p.94-95
