Volterra Integral Equation of the Second Kind

An integral equation of the form

where 👁 K(x,t)
is the integral kernel, 👁 f(x)
is a specified function, and 👁 phi(t)
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 First 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.

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Volterra Integral Equation of the Second Kind

Cite this as:

Weisstein, Eric W. "Volterra Integral Equation of the Second Kind." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/VolterraIntegralEquationoftheSecondKind.html

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