Multiplicative type functional equations arising from characterization problems

作者：Lajko Karoly^*; Meszaros Fruzsina

来源：Aequationes Mathematicae, 2012, 83(3): 199-208.

DOI：10.1007/s00010-012-0117-2

• General solution
• Density function solution a.e.

We give the general and the so-called density function solutions of the equation %26lt;br%26gt;fU (x) fV (y) = fX (1-y/1-xy) fY (1-xy)y/1-xy ((x,y) is an element of (0, 1)(2)) %26lt;br%26gt;and the density function solutions of the equation %26lt;br%26gt;f(x) g(y) = p(x + y)q(x/y) ((x, y) is an element of R-+(2)).

• 出版日期2012-7