Topology and non-linear functional equations

Felix Browder

Displaying similar documents to “Topology and non-linear functional equations”

Some elementary applications of topological degree.

Pavel, Dan Gabriel (2001)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

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The topological degree and fixed points of DC-mappings

W. Kryszewski, Bogdan Przeradzki (1985)

Fundamenta Mathematicae

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The Brouwer-Jordan theorem

H. Kulpa (1992)

Acta Universitatis Carolinae. Mathematica et Physica

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The product formula.

Genaro López Acedo (1991)

Collectanea Mathematica

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A useful property of the Brouwerdegree relates the degree of a composition of maps to the degree of each map. This property, which can be generalized for the Leray Schauder degree and in some cases for the A-proper maps is called the Product Formula. In a previous paper we developed a generalized degree theory for a class of mappings, this class contains the class of A-proper mappings and compact mappings. In this paper we prove a generalization of the Product Formula when one factor...

On a class of multi-valued vector fields in Banach spaces

J. Bryszewski (1977)

Fundamenta Mathematicae

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On the homotopical classification of DJ-mappings of infnitely dimensional spheres

Bogdan Przeradzki (1984)

Fundamenta Mathematicae

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A Kakutani type coincidence theorem

Helga Schirmer (1970)

Fundamenta Mathematicae

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Sharper ABC-based bounds for congruent polynomials

Daniel J. Bernstein (2005)

Journal de Théorie des Nombres de Bordeaux

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Agrawal, Kayal, and Saxena recently introduced a new method of proving that an integer is prime. The speed of the Agrawal-Kayal-Saxena method depends on proven lower bounds for the size of the multiplicative semigroup generated by several polynomials modulo another polynomial $h$ . Voloch pointed out an application of the Stothers-Mason ABC theorem in this context: under mild assumptions, distinct polynomials $A, B, C$ of degree at most $1.2 deg h - 0.2 deg rad A B C$ cannot all be congruent modulo $h$ . This paper presents two...