Integral equations as evolution equations Academic Article uri icon

abstract

  • 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.

author list (cited authors)

  • Chen, G., & Grimmer, R.

citation count

  • 16

publication date

  • July 1982