Determinant criteria of solvability

• Autorzy: V. S. Kalnitsky
• Języki publikacji: EN

Abstrakty

EN

In the paper [3] the determinant criterion of solvability for the Kuczma equation [4] was given. This criterion appeared in the natural way as barycenter of some mass system. It turned out that determinants do appear in many different situations as solvability criteria. The present article is aimed to review the mostly classical results in the theory of functional equations from this point of view. We begin with classical results of the linear functional equations and the determinant equations solved by F. Neuman. Using natural hierarchy we select some class of well-known equations in order to catch a pattern in the solvability criteria. This approach gives some sort of hypothesis.

Kategorie tematyczne

• 26B40: Representation and superposition of functions
• 39B22: Equations for real functions
• 39B52: Equations for functions with more general domains and/or ranges

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2013
• Tom: 99
• Numer: 1
• Strony: 77-86

Daty

wydano

2013

Twórcy

autor

V. S. Kalnitsky

• Saint Petersburg State University, Universitetsky Pr., 26, 198504 Saint Petersburg, Russia

Identyfikatory

DOI

10.4064/bc99-0-6