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Bifurcation Theorems via Second-Order Optimality Conditions

โœ Scribed by Aram V. Arutyunov; Alexey F. Izmailov

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
110 KB
Volume
262
Category
Article
ISSN
0022-247X

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โœฆ Synopsis

We present a new approach to bifurcation study that relies on the theory of second-order optimality conditions for abnormal constrained optimization problems developed earlier by the first author. This theory does not subsume the "primal" description of the feasible set in terms of tangent vectors or in any other way. As a result, we obtain new sufficient conditions for bifurcation, which are to some extent complementary with respect to the known bifurcation theory.

๐Ÿ“œ SIMILAR VOLUMES

Global bifurcation theorem for a class o
Global bifurcation theorem for a class of boundary conditions for ordinary differential equations of second order
โœ Jacek Gulgowski ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 138 KB

## Abstract In this paper we deal with boundary value problems equation image where __l__ : __C__^1^([__a, b__], โ„^__k__^) โ†’ โ„^__k__^ ร— โ„^__k__^ is continuous, __ฮผ__ โ‰ค 0 and __ฯ†__ is a Caratheodory map. We define the class __S__ of maps __l__, for which a global bifurcation theorem holds for the