caa a22 4500 606233261 CHVBK 20210128101231.0 cr unu---uuuuu 210128e20150701xx s 000 0 eng 10.1007/s10883-014-9221-z doi (NATIONALLICENCE)springer-10.1007/s10883-014-9221-z Extreme Properties of Curves with Bounded Curvature on a Sphere [Elektronische Daten] [Alexander Borisenko, Kostiantyn Drach] We give a sharp lower bound on the area of the domain enclosed by an embedded curve lying on a two-dimensional sphere provided that geodesic curvature of this curve is bounded from below. Furthermore, we prove some dual inequalities for convex curves whose curvatures are bounded from above. Springer Science+Business Media New York, 2014 λ -convex curves nationallicence Reverse isoperimetric inequality nationallicence Pontryagin's maximum principle nationallicence Borisenko Alexander Department of Mathematical Analysis and Optimization, Sumy State University, Rimskogo - Korsakova str. 2, 40007, Sumy, Ukraine aut Drach Kostiantyn Department of Mathematical Analysis and Optimization, Sumy State University, Rimskogo - Korsakova str. 2, 40007, Sumy, Ukraine aut Journal of Dynamical and Control Systems Springer US; http://www.springer-ny.com 21/3(2015-07-01), 311-327 1079-2724 21:3<311 2015 21 10883 https://doi.org/10.1007/s10883-014-9221-z text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10883-014-9221-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Borisenko Alexander Department of Mathematical Analysis and Optimization, Sumy State University, Rimskogo - Korsakova str. 2, 40007, Sumy, Ukraine aut NATIONALLICENCE 700 1- Drach Kostiantyn Department of Mathematical Analysis and Optimization, Sumy State University, Rimskogo - Korsakova str. 2, 40007, Sumy, Ukraine aut NATIONALLICENCE 773 0- Journal of Dynamical and Control Systems Springer US; http://www.springer-ny.com 21/3(2015-07-01), 311-327 1079-2724 21:3<311 2015 21 10883