Integral equations as evolution equations |
| |
Authors: | Goong Chen Ronald Grimmer |
| |
Institution: | Department of Mathematics, Pennsylvania State University, University Park, Pennsylvania 16802 USA;Department of Mathematics, Southern Illinois University, Carbondale, Illinois 62901 USA |
| |
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. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|