An integral equation of the form
 |
where 
is the integral kernel,
is a specified function, and 
is the function to be solved for.
Volterra Integral Equation of the First Kind
See also
Fredholm Integral Equation of the First Kind, Fredholm Integral Equation of the Second Kind, Integral Equation, Volterra Integral Equation of the Second KindExplore with Wolfram|Alpha
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 KindCite this as:
Weisstein, Eric W. "Volterra Integral Equation of the First Kind." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/VolterraIntegralEquationoftheFirstKind.html