December 2013, Volume 24, Issue 4, pp 657665,
Open Access
This content is freely available online to anyone, anywhere at any time.
Date:
23 Oct 2012
On the existence of an optimal solution of the Mayer problem governed by 2D continuous counterpart of the FornasiniMarchesini model
 Dorota Bors,
 Marek Majewski
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Abstract
In the paper the optimization problem described by some nonlinear hyperbolic equation being continuous counterpart of the FornasiniMarchesini model is considered. A theorem on the existence of at least one solution to this hyperbolic PDE is proved and some properties of the set of all solutions are established. The existence of a solution to an optimization problem under appropriate assumptions is the main result of this paper. Some application of the obtained results to the process of gas filtration is also presented.
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 Title
 On the existence of an optimal solution of the Mayer problem governed by 2D continuous counterpart of the FornasiniMarchesini model
 Open Access
 Available under Open Access This content is freely available online to anyone, anywhere at any time.
 Journal

Multidimensional Systems and Signal Processing
Volume 24, Issue 4 , pp 657665
 Cover Date
 20131201
 DOI
 10.1007/s1104501202072
 Print ISSN
 09236082
 Online ISSN
 15730824
 Publisher
 Springer US
 Additional Links
 Topics
 Keywords

 Mayer problem
 Continuous counterpart of the FornasiniMarchesini model
 Existence of optimal solutions
 Industry Sectors
 Authors

 Dorota Bors ^{(1)}
 Marek Majewski ^{(1)}
 Author Affiliations

 1. Faculty of Mathematics and Computer Science, University of Lodz, Lodz, Poland