caa a22 4500 463169158 CHVBK 20180406164808.0 cr unu---uuuuu 170326e20070901xx s 000 0 eng 10.1007/s10957-007-9210-4 doi (NATIONALLICENCE)springer-10.1007/s10957-007-9210-4 Bogusz D. Department of Mathematics, University of Łódź, Łódź, Poland aut Helly's Principle and Its Application to an Infinite-Horizon Optimal Control Problem [Elektronische Daten] [D. Bogusz] In this paper, we introduce locally absolutely continuous functions of two variables and functions of two variables of locally finite variation defined on an unbounded interval. We generalize Helly's principle of choice to functions of locally finite variation and apply this principle to an infinite-horizon optimal control problem of the Goursat-Darboux type. Springer Science+Business Media, LLC, 2007 Infinite-horizon optimal control nationallicence Goursat-Darboux problem nationallicence Helly's principle nationallicence Existence of optimal solutions nationallicence Journal of Optimization Theory and Applications Springer US; http://www.springer-ny.com 134/3(2007-09-01), 371-383 0022-3239 134:3<371 2007 134 10957 https://doi.org/10.1007/s10957-007-9210-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10957-007-9210-4 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Bogusz D. Department of Mathematics, University of Łódź, Łódź, Poland aut NATIONALLICENCE 773 0- Journal of Optimization Theory and Applications Springer US; http://www.springer-ny.com 134/3(2007-09-01), 371-383 0022-3239 134:3<371 2007 134 10957 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer