Let Yt be the Ito diffusion with generator Af x xf x 2x 2f

Let Yt be the Ito diffusion with generator A(f )(x) = xf \'(x) + 2x 2f \'\' (x).

Assume Y0 = y R+.

Find Yt .

Solution

considering f(x)=y and solving it as a ordinary differential equation as follows

Let Yt be the Ito diffusion with generator A(f )(x) = xf \'(x) + 2x 2f \'\' (x). Assume Y0 = y R+. Find Yt .Solutionconsidering f(x)=y and solving it as a ordin

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