![]()
AMBIENTUM BIOETHICA BIOLOGIA CHEMIA DIGITALIA DRAMATICA EDUCATIO ARTIS GYMNAST. ENGINEERING EPHEMERIDES EUROPAEA GEOGRAPHIA GEOLOGIA HISTORIA HISTORIA ARTIUM INFORMATICA IURISPRUDENTIA MATHEMATICA MUSICA NEGOTIA OECONOMICA PHILOLOGIA PHILOSOPHIA PHYSICA POLITICA PSYCHOLOGIA-PAEDAGOGIA SOCIOLOGIA THEOLOGIA CATHOLICA THEOLOGIA CATHOLICA LATIN THEOLOGIA GR.-CATH. VARAD THEOLOGIA ORTHODOXA THEOLOGIA REF. TRANSYLVAN
|
|||||||
Rezumat articol ediţie STUDIA UNIVERSITATIS BABEŞ-BOLYAI În partea de jos este prezentat rezumatul articolului selectat. Pentru revenire la cuprinsul ediţiei din care face parte acest articol, se accesează linkul din titlu. Pentru vizualizarea tuturor articolelor din arhivă la care este autor/coautor unul din autorii de mai jos, se accesează linkul din numele autorului. |
|||||||
STUDIA MATHEMATICA - Ediţia nr.3 din 2006 | |||||||
Articol: |
BOOK REVIEWS - JONATHAN M. BORWEIN AND QIJI J. ZHU, TECHNIQUES OF VARIATIONAL ANALYSIS, CANADIAN MATHEMATICAL SOCIETY (CMS) BOOKS IN MATHEMATICS, VOL. 20, SPRINGER 2005, VI+362 PP, ISBN 3-387-24298-8.. Autori: ŞTEFAN COBZAŞ. |
||||||
Rezumat: The term variational analysis concerns methods of proofs based on the fact that an appropriate auxiliary function attains a minimum, and has its roots in the physical principle of the least action. Probably that the first illustration of this method is Johann Bernoulli’s solution to the Brachistocrone problem which led to the development of variational calculus. A significant impact on variational analysis was done by the development of nonsmooth analysis, making possible the use of calculus of nonsmooth functions and enlarging substantially the area of applications. Other powerful tools are the decoupling method (a nonconvex substitute for Fenchel conjugacy and Hahn-Banach theorem from convex analysis), alongside with variational principles. | |||||||
![]() |
|||||||