Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4628542 | Applied Mathematics and Computation | 2013 | 7 Pages |
Abstract
Let A be a subgroup of an abelian group (G,+) and P be a quadratically closed field with char Pâ 2. We give a full description of all pairs of functions f:GâP,g:AâP satisfying the equation(a)f(x+y)+f(x-y)=2g(x)f(y)(x,y)âAÃG.We present an example of solution (f,g) of (a) that cannot be extended to a solution (f,g¯) of the equation (b)f(x+y)+f(x-y)=2g¯(x)f(y)x,yâG.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Anna Bahyrycz,