On dependence of Lipschitzian solution of non-linear functional equation on an arbitrary function
Abstract
We shall deal with the existence and dependence on an arbitrary function of solutions of the functional equation
(1) ϕ(f(x)) = g(x,ϕ(x))
in the class of functions fulfilling a Lipschitz condition.
References
1. M. Kuczma, Functional equations in a single variable, Monografie Mat. 46, PWN, Warszawa 1968.
2. J. Matkowski, On Lipschitzian solution of a functional equation, Ann. Polon. Math. 28 (1973), 135-139.
2. J. Matkowski, On Lipschitzian solution of a functional equation, Ann. Polon. Math. 28 (1973), 135-139.
Jakowska-SuwalskaK. (1985). On dependence of Lipschitzian solution of non-linear functional equation on an arbitrary function. Annales Mathematicae Silesianae, 1, 116-119. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/14341
Katarzyna Jakowska-Suwalska
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