๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Analytic Solutions of a Class of Linear and Nonlinear Functional Equations

โœ Scribed by Eugenia N. Petropoulou

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
78 KB
Volume
261
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

โœฆ Synopsis

A functional analysis method is used to prove the existence and the uniqueness of solutions of a class of linear and nonlinear functional equations in the Hilbert ลฝ . ลฝ . space H โŒฌ and the Banach space H โŒฌ . In the case of the nonlinear functional 2 1 equation, a bound of the solution is also given.

๐Ÿ“œ SIMILAR VOLUMES

Analytic Solutions of a Functional Equat
Analytic Solutions of a Functional Equation for Invariant Curves
โœ Jianguo Si; Weinian Zhang ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 91 KB

An iterative functional equation is deduced by C. T. Ng and W. Zhang 1997, J. . Differ. Equations Appl. 3, 147แŽ168 from the problem of invariant curves. In this paper, its analytic solutions are discussed by locally reducing the equation to another functional equation without iteration and by constr