Abstract and Applied Analysis
Volume 3 (1998), Issue 3-4, Pages 265-292
Existence and uniform boundedness of optimal solutions of
Department of Mathematics, Technion-Israel Institute of Technology, Haifa 32000, Israel
Received 9 December 1996
Copyright © 1998 Alexander J. Zaslavski. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Given an we study the infinite horizon problem of minimizing the expression as grows to infinity where satisfies the initial condition . We analyse the existence and the properties of approximate solutions for every prescribed initial value . We also establish that for every bounded set the norms of approximate solutions for the minimization problem on an interval with are bounded by some constant which does not depend on .