Criterion for the polynomial solutions of certain first order differential equations
Huffstutler, R.G., Smith, L.D., Liu, Ya Yin (1972)
Portugaliae mathematica
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Displaying similar documents to “The set of points at which a polynomial map is not proper”
Criterion for the polynomial solutions of certain first order differential equations
Degrees of Polynomial Solutions of a Class of Riccati - tipe Differential Equations*.
Mira Bhargava (1964)
Collectanea Mathematica
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Existence of Polynomial Solutions of a Class of Riccati-Type Differential Equations.
H. Kaufman, Mira Bhargava (1965)
Collectanea Mathematica
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On the dispersions of the polynomial maps over finite fields.
Schauz, Uwe (2008)
The Electronic Journal of Combinatorics [electronic only]
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The pole placement equation. A survey
Vladimír Kučera (1994)
Kybernetika
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An irreducibility criterion for polynomials in several variables
Marius Cavachi, Marian Vâjâitu, Alexandru Zaharescu (2004)
Acta Mathematica Universitatis Ostraviensis
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Solving quadratic equations over polynomial rings of characteristic two.
Jorgen Cherly, Luis Gallardo, Leonid Vaserstein, Ethel Wheland (1998)
Publicacions Matemàtiques
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We are concerned with solving polynomial equations over rings. More precisely, given a commutative domain A with 1 and a polynomial equation antn + ...+ a0 = 0 with coefficients ai in A, our problem is to find its roots in A. We show that when A = B[x] is a polynomial ring, our problem can be reduced to solving a finite sequence of polynomial equations over B. As an application of this reduction,...
Algebraically solvable problems: describing polynomials as equivalent to explicit solutions.
Schauz, Uwe (2008)
The Electronic Journal of Combinatorics [electronic only]
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On the dynamics of extendable polynomial endomorphisms of ℝ²
Ewa Ligocka (2007)
Annales Polonici Mathematici
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We extend the results obtained in our previous paper, concerning quasiregular polynomials of algebraic degree two, to the case of polynomial endomorphisms of ℝ² whose algebraic degree is equal to their topological degree. We also deal with some other classes of polynomial endomorphisms extendable to ℂℙ².
Classification of degree 2 polynomial automorphisms of C.
John Erik Fornaess, He Wu (1998)
Publicacions Matemàtiques
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For the family of degree at most 2 polynomial self-maps of C3 with nowhere vanishing Jacobian determinant, we give the following classification: for any such map f, it is affinely conjugate to one of the following maps: (i) An affine automorphism; (ii) An elementary polynomial autormorphism E(x, y, z) = (P(y, z) + ax, Q(z) + by, cz + d), where P and Q are polynomials with max{deg(P), deg(Q)} = 2 and abc ≠ 0. ...