## Quick Reference

Any equation for an unknown function involving integrals and derivatives of the function. Many different types can arise and there is no straightforward classification. The initial-value problem (see ordinary differential equations) given by

*f*′(*x*) = *F*(*x*,*f*(*x*),∫^{x}_{a}*K*(*x*,*y*) *f*(*y*) d*y*)

*f*(*a*) = *f*_{0}

also contains features common to Volterra integral equations (see integral equation). Boundary-value problems and equations involving partial derivatives also occur in practice.

*Subjects:*
Computing.

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