Stability of the entropy equation

作者：Gselmann Eszter^*

来源：Publicationes Mathematicae-Debrecen, 2010, 77(1-2): 201-210.

• Stability
• entropy equation
• cocycle equation
• amenable semigroup

In this paper we prove that the so-called entropy equation, i.e.,
H(x,y,z)= H (x + y,0 , z) + H (x, y, 0)
is stable in the sense of Flyers and Ulam on the positive cone of R(3), assuming that the function H is approximatively symmetric in each variable and approximatively homogeneous of degree alpha, where alpha is an arbitrarily fixed real number.

• 出版日期2010-6