Overview on the Pointwise Constrained Liapunov Vectorial Convexity Theorem
Joint Authors
Carlota, Clara
Ornelas, António
Chá, Sílvia
Source
Conference Papers in Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-4, 4 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-23
Country of Publication
Egypt
No. of Pages
4
Main Subjects
Abstract EN
In applications of the Calculus of Variations, Optimal Control and Differential Inclusions, very important real-life problems are nonconvex vectorial and subject to pointwise constraints.
The classical Liapunov convexity theorem is a crucial tool allowing researchers to solve nonconvex vectorial problems involving single integrals.
However, the possibility of extending such theorem so as to deal with pointwise constraints has remained an open problem for two decades, in the more realistic case using variable vectorial velocities.
We have recently solved it, in the sense of proving necessary conditions and sufficient conditions for solvability of such problem.
A quick overview of our results is presented here, the main point being that, somehow, convex constrained nonuniqueness a.e.
implies nonconvex constrained existence.
American Psychological Association (APA)
Carlota, Clara& Chá, Sílvia& Ornelas, António. 2013. Overview on the Pointwise Constrained Liapunov Vectorial Convexity Theorem. Conference Papers in Mathematics،Vol. 2013, no. 2013, pp.1-4.
https://search.emarefa.net/detail/BIM-465222
Modern Language Association (MLA)
Carlota, Clara…[et al.]. Overview on the Pointwise Constrained Liapunov Vectorial Convexity Theorem. Conference Papers in Mathematics No. 2013 (2013), pp.1-4.
https://search.emarefa.net/detail/BIM-465222
American Medical Association (AMA)
Carlota, Clara& Chá, Sílvia& Ornelas, António. Overview on the Pointwise Constrained Liapunov Vectorial Convexity Theorem. Conference Papers in Mathematics. 2013. Vol. 2013, no. 2013, pp.1-4.
https://search.emarefa.net/detail/BIM-465222
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-465222