Journal of Optimization Theory and Applications

, Volume 117, Issue 2, pp 397–414

Approximate Controllability for a Class of Abstract Second-Order Functional Evolution Equations

  • M.A. Mckibben

DOI: 10.1023/A:1023639908792

Cite this article as:
Mckibben, M. Journal of Optimization Theory and Applications (2003) 117: 397. doi:10.1023/A:1023639908792


Results providing sufficient conditions for the approximate controllability of a class of second-order abstract functional evolution equations governed by the generator of a strongly continuous cosine family of linear operators, together with nonlocal initial conditions, are developed. This work extends results included in recent work by Naito, Park, Zhou, and others. The abstract theory is then applied to a parabolic partial integrodifferential equation.

Approximate controllabilityevolution equationscosine familysecond-order equations

Copyright information

© Plenum Publishing Corporation 2003

Authors and Affiliations

  • M.A. Mckibben
    • 1
  1. 1.Goucher CollegeBaltimore