Report of Meeting: The Twenty-fourth International Symposium on Functional Equations, August 12-August 20, 1986, South Hadley, MA.
Report of Meeting: The Thirty-third International Symposium on Functional Equations, May 21-May 27, 1995, Caldes de Malavella, Catalonia, Spain.
Some remarks on a problem of C. Alsina.
Equation [1] f(x+y) + f (f(x)+f(y)) = f (f(x+f(y)) + f(f(x)+y)) has been proposed by C. Alsina in the class of continuous and decreasing involutions of (0,+∞). General solution of [1] is not known yet. Nevertheless we give solutions of the following equations which may be derived from [1]: [2] f(x+1) + f (f(x)+1) = 1, [3] f(2x) + f(2f(x)) = f(2f(x + f(x))). Equation [3] leads to a Cauchy functional equation: [4]...
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