Volterra integral equation of the first kind
- To: mathgroup at smc.vnet.net
- Subject: [mg60028] Volterra integral equation of the first kind
- From: James Briscoe <not-me at nospam.net>
- Date: Sun, 28 Aug 2005 23:14:39 -0400 (EDT)
- Reply-to: not-me at nospam.net
- Sender: owner-wri-mathgroup at wolfram.com
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) Can mathematica solve for theta(t)? (or can it be proven that given the above conditions theta(t) does not exist?)