Hello, The problem I'm struggling with is: Find all continuous functions such that satisfy the equation: where and is a parameter? Surely, satisfies this equations. But is it the only function? Thanks for help
Last edited by Nobody1111; Sep 7th 2009 at 09:37 AM.
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Originally Posted by Nobody1111 Find all continuous functions such that satisfy the equation: where and is a parameter? Surely, satisfies this equations. But is it the only function? (I'm assuming that means f squared rather than the other possible meaning f composed with itself.) For every real number c, there is a solution . I suspect that these are the only continuous solutions, but I'm not sure of that.
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