TOPICS
Search

Volterra Integral Equation of the First Kind


An integral equation of the form

 f(x)=int_a^xK(x,t)phi(t)dt,

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 Second Kind

Explore 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 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

Subject classifications