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If I have this equation:
[tex]
\int_0^{+\infty}{\frac{e^{-x}}{\int_{\Delta T}f(x,t)}f(x,t)xdx}=Ag(t)
[/tex]
I am interested to show that f(x,t) must be g(t). This condition must be necessary and sufficient. Is this possible to prove?
[tex]
\int_0^{+\infty}{\frac{e^{-x}}{\int_{\Delta T}f(x,t)}f(x,t)xdx}=Ag(t)
[/tex]
I am interested to show that f(x,t) must be g(t). This condition must be necessary and sufficient. Is this possible to prove?