Article ID Journal Published Year Pages File Type
4623715 Journal of Mathematical Analysis and Applications 2006 15 Pages PDF
Abstract

For certain Bolza problems with linear dynamics, two sets extending the notion of conjugate points in the calculus of variations are introduced. Independently of nonsingularity assumptions, their emptiness, in one case without normality assumptions, is shown to be equivalent to a second order necessary condition. A comparison with other notions available in the literature is given.

Related Topics
Physical Sciences and Engineering Mathematics Analysis