An integral equation of
the form
where is the integral kernel,
is a specified function, and is the function to be solved for.
See also
Fredholm Integral Equation of the First Kind,
Fredholm
Integral Equation of the Second Kind,
Integral
Equation,
Volterra Integral
Equation of the Second Kind
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References
Arfken, G. Mathematical Methods for Physicists, 3rd ed. Orlando, FL: Academic Press, p. 865,
1985.Press, W. H.; Flannery, B. P.; Teukolsky, S. A.;
and Vetterling, W. T. "Volterra Equations." §18.2 in Numerical
Recipes in FORTRAN: The Art of Scientific Computing, 2nd ed. Cambridge, England:
Cambridge University Press, pp. 786-788, 1992.Referenced on Wolfram|Alpha
Volterra Integral
Equation of the First Kind
Cite this as:
Weisstein, Eric W. "Volterra Integral Equation of the First Kind." From MathWorld--A Wolfram Web Resource.
https://mathworld.wolfram.com/VolterraIntegralEquationoftheFirstKind.html
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