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**Can anyone help me to solve a differential equation?**

I want to solve

∂v(p,t)/∂t=-p^2 v(p,t)-sqrt(2/pi)∫v(p,t)[1-δ(t)R(t)]dp+sqrt(2/pi)[δ(t)R^2(t) C]

with initial data v(p,0)=0

where C is constant and the integration from zero to infinty

Any suggestion please?

Solution by volterra integral equation??