International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 27, Pages 1703-1714
doi:10.1155/S0161171203209273
Duality in the optimal control for damped hyperbolic systems with positive control
Mi Jin Lee1
, Jong Yeoul Park1
and Young Chel Kwon3
1Department of Mathematics, Pusan National University (PNU), Pusan 609-735, Korea
3Department of Mathematics, Dong-A University, Pusan 604-714, Korea
Abstract
We study the duality theory for damped hyperbolic equations. These systems have positive controls and convex cost functionals. Our main results lie in the application of duality theorem, that is, inf J=sup K, on various cost functions.