Results 231 to 240 of about 268,103 (267)

On a Class of Operator Equations

Mathematical Notes, 2001
This article deals with the equation \(a(x)=f(x)\) where \(a,f:E_1\to E_2\) are, respectively, a continuous surjective linear operator and a completely continuous nonlinear operator between Banach spaces \(E_1\) and \(E_2\); it is also assumed that \(\dim\text{ker}\,a\geq 1\). The author formulates simple and natural conditions under which the equation
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A class of Diophantine equations

Publicationes Mathematicae Debrecen, 1992
A method is given for the resolution of diophantine equations of type \(F(2^ a\cdot 3^ b)=\pm 2^ c\cdot 3^ d\), where \(F(x)\in\mathbb{Z}[x]\) has at least two distinct roots. The method is based on lower bounds for linear forms in logarithms of algebraic numbers and the LLL-lattice basis reduction algorithm.
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On a class of quasilinear schrödinger equations

Applied Mathematics and Mechanics, 2007
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Shu, Ji, Zhang, Jian
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A Class of Diophantine Equations

The Mathematical Gazette, 1938
The general solution in positive integers of the equation (1) 2 a(x 2 − y 2 ) + l = z 2 where
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A Class of Degenerate Elliptic Equations

Journal of Mathematical Sciences, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alkhutov, Yu. A., Zhikov, V. V.
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The Insolubility of Classes of Diophantine Equations

American Journal of Mathematics, 1954
Let \(m\) be a natural and \(a_1,a_2,...,a_n\) non-zero rational integers such that for every selection \(e_j=0\) or \(\pm 1\) (\(j=1,2,...,n\)) except \(e_1=e_2=\cdots=e_n=0\) we have \(a_1e_1+\cdots +a_ne_n \neq 0\). Let \(U\) be a large positive real number tending to infinity and \(D(U)\) the number of \(m \leq U\) for which the equation \(a_1X_1^m+
Ankeny, N. C., Erdős, Pál
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Classes of Semilattices Associated with an Equational Class of Lattices

Canadian Journal of Mathematics, 1973
In this paper we consider the question of whether there is a natural class of semilattices associated with a fixed equational class of lattices. We give four classes of semilattices which may be obtained from a given equational class of lattices and show that for the distributive case they coalesce into one class.
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A Class of Linear Generalized Equations

SIAM Journal on Optimization, 2014
Solution stability of a class of linear generalized equations in finite dimensional Euclidean spaces is investigated by means of generalized differentiation. Exact formulas for the Frechet and the Mordukhovich coderivatives of the normal cone mappings of perturbed Euclidean balls are obtained. Necessary and sufficient conditions for the local Lipschitz-
Nguyen Thanh Qui, Nguyen Dong Yen
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Injectivity in Equational Classes of Algebras

Canadian Journal of Mathematics, 1972
The concept of injectivity in classes of algebras can be traced back to Baer's initial results for Abelian groups and modules in [1]. The first results in non-module types of algebras appeared when Halmos [14] described the injective Boolean algebras using Sikorski's lemma on extensions of Boolean homomorphisms [19].
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On equivalence classes of interpolation equations

1995
An Interpolation Equation is an equation of the form [(x)c 1 ... c n=b], where c 1 ... c n , b are simply typed terms containing no instantiable variable. A natural equivalence relation between two interpolation equations is the equality of their sets of solutions.
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