ArticleOriginal scientific text

Title

On continuous solutions of a functional equation

Authors 1

Affiliations

  1. Katolickie Liceum Ogólnokształcące, Paderewskiego 28, 42-400 Zawiercie, Poland

Abstract

This paper discusses continuous solutions of the functional equation φ[f(x)] = g(x,φ(x)) in topological spaces.

Keywords

continuous solution, functional equation, extension

Bibliography

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  2. K. Baron, Functional equations of infinite order, Prace Nauk. Uniw. Śląsk. 265 (1978).
  3. M. Kuczma, General solution of the functional equation φ[f(x)]=G(x,φ(x)), Ann. Polon. Math. 9 (1960), 275-284.
  4. M. Kuczma, Functional Equations in a Single Variable, Monograf. Mat. 46, PWN, Warszawa, 1968.
  5. M. Kuczma, B. Choczewski and R. Ger, Iterative Functional Equations, Encyclopedia Math. Appl. 32, Cambridge Univ. Press, 1990.
  6. M. Sablik, Differentiable solutions of functional equations in Banach spaces, Ann. Math. Sil. 7 (1993), 17-55.
  7. W. Smajdor, On continuous solutions of the Schröder equation, Ann. Polon. Math. 32 (1976), 111-118.
Pages:
151-156
Main language of publication
English
Received
1995-05-18
Accepted
1996-01-03
Published
1997
Exact and natural sciences