On quadratic integral equations of Urysohn type in Fréchet spaces.
Benchohra, M., Darwish, M.A. (2010)
Acta Mathematica Universitatis Comenianae. New Series
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Benchohra, M., Darwish, M.A. (2010)
Acta Mathematica Universitatis Comenianae. New Series
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Steven Arno (1992)
Acta Arithmetica
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Pekin, Ayten (2008)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Henryk Iwaniec, Ritabrata Munshi (2010)
Journal de Théorie des Nombres de Bordeaux
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We give non-trivial upper bounds for the number of integral solutions, of given size, of a system of two quadratic form equations in five variables.
Kachakhidze, N. (2001)
Georgian Mathematical Journal
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Lomadze, G. (1997)
Georgian Mathematical Journal
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Pappas, Dimitrios (2011)
Annals of Functional Analysis (AFA) [electronic only]
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R. C. Baker, S. Schäffer (1992)
Acta Arithmetica
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Andrzej Zajtz (1993)
Annales Polonici Mathematici
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This paper is concerned with the problem of divisibility of vector fields with respect to the Lie bracket [X,Y]. We deal with the local divisibility. The methods used are based on various estimates, in particular those concerning prolongations of dynamical systems. A generalization to polynomials of the adjoint operator (X) is given.
Ernst Dieterich (1999)
Colloquium Mathematicae
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Given a euclidean vector space V = (V,〈〉) and a linear map η: V ∧ V → V, the anti-commutative algebra (V,η) is called dissident in case η(v ∧ w) ∉ ℝv ⊕ ℝw for each pair of non-proportional vectors (v,w) ∈ . For any dissident algebra (V,η) and any linear form ξ: V ∧ V → ℝ, the vector space ℝ × V, endowed with the multiplication (α,v)(β,w) = (αβ -〈v,w〉+ ξ(v ∧ w), αw + βv + η(v ∧ w)), is a quadratic division algebra. Up to isomorphism, each real quadratic division algebra arises in this...