Volterra integral equation of the first kind
- From: James Briscoe <not-me@xxxxxxxxxx>
- Date: Sun, 28 Aug 2005 14:27:59 -0400
Consider the integral equation:
/ x
| K(x,t)*theta(t)dt = f(x)
/ a
where the following are true:
a = -4
-4 < x < 0
K(x,t) = x + t
and
f(x) = 1
Two questions:
1) does this equation fit the definition of a
"Volterra integral equation of the first kind"?
2) what is theta(t)? (or can it be proven that given the above
conditions
theta(t) does not exist?)
.
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