Integral equations as evolution equations Academic Article uri icon


  • We study a class of time-dependent linear integrodifferential equations (VE) with the evolution equation approach. We determine the generators of a time-dependent evolution equation (DE) which is equivalent to the given integrodifferential equation. Under very general assumptions we prove the well-posedness and continuity of (VE) from the stability of (DE). The related question of convergence of a family of approximate solutions is examined. As an application, we include an example of hyperbolic integro-partial-differential equation to illustrate the theory. 1982.

published proceedings

  • Journal of Differential Equations

author list (cited authors)

  • Chen, G., & Grimmer, R.

citation count

  • 19

complete list of authors

  • Chen, Goong||Grimmer, Ronald

publication date

  • July 1982