Relaxed controls for a class of strongly nonlinear delay evolution equations

  • Xiang X
  • Sattayatham P
  • Wei W
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Abstract

Relaxed controls for a class of strongly nonlinear delay evolution equations are investigated. Existence of solutions of strongly nonlinear delay equations is proved and properties of original and relaxed trajectories are discussed. The existence of optimal relaxed controls and relaxation result are also presented. For illustration, two examples are given. © 2002 Elsevier Science Ltd. All rights reserved.

Author-supplied keywords

  • Delay evolution equations
  • Evolution triple
  • Measurable multifunction
  • Nonlinear monotone operator
  • Relaxation

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