Existence and uniqueness of continuous solutions of nonlinear functional equations are generic properties

Witold Jarczyk

Published: 1990-01-30

Vol. 3 (1990)

Existence and uniqueness of continuous solutions of nonlinear functional equations are generic properties

Witold Jarczyk

Abstract

Fundamental properties of equations of the form (1) are discussed from the Baire category point of view. After showing that they are generic in a suitable function space the density of the set of equations (1) having no solutions is studied. Results of the paper are “product versions” of these proved in [3].

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Jarczyk, W. (1990). Existence and uniqueness of continuous solutions of nonlinear functional equations are generic properties. Annales Mathematicae Silesianae, 3, 32–40. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/14299

Vol. 3 (1990)
Published: 1990-01-30

ISSN: 0860-2107

eISSN: 2391-4238

10.1515/amsil

Publisher

University of Silesia Press

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