Dear All,
It looks like I know how to solve the initial value problem for following equation:
u't(t,x) = \int_R K(x,y)u(t,y)dy, where t is time, and x belongs to the real line R.
u(0,x)=u0(x)
Function K may be bounded or unbounded.
I am interested what science knows about this equation: history, applications, standard methods of solving, anything else. Direct references, keywords for search and general ideas are all welcome.
Thank you in advance,
Ivan Remizov
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