Displaying similar documents to “Existence and stability of solutions for a system of quadratic integral equations in Banach algebras”

Existence and Asymptotic Stability of Solutions of a Perturbed Quadratic Fractional Integral Equation

Darwish, Mohamed, Henderson, Johnny (2009)

Fractional Calculus and Applied Analysis

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Mathematics Subject Classification: 45G10, 45M99, 47H09 We study the solvability of a perturbed quadratic integral equation of fractional order with linear modification of the argument. This equation is considered in the Banach space of real functions which are defined, bounded and continuous on an unbounded interval. Moreover, we will obtain some asymptotic characterization of solutions. Finally, we give an example to illustrate our abstract results.

Quadratic integral equations in reflexive Banach space

Hussein A.H. Salem (2010)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

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This paper is devoted to proving the existence of weak solutions to some quadratic integral equations of fractional type in a reflexive Banach space relative to the weak topology. A special case will be considered.

On the doubling of quadratic algebras

Lars Lindberg (2004)

Colloquium Mathematicae

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The concept of doubling, which was introduced around 1840 by Graves and Hamilton, associates with any quadratic algebra 𝓐 over a field k of characteristic not 2 its double 𝓥(𝓐 ) = 𝓐 × 𝓐 with multiplication (w,x)(y,z) = (wy - z̅x,xy̅ + zw). This yields an endofunctor on the category of all quadratic k-algebras which is faithful but not full. We study in which respect the division property of a quadratic k-algebra is preserved under doubling and, provided this is the case,...