Displaying 181 – 200 of 444

Showing per page

P-order necessary and sufficient conditions for optimality in singular calculus of variations

Agnieszka Prusińska, Alexey Tret'yakov (2010)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

This paper is devoted to singular calculus of variations problems with constraint functional not regular at the solution point in the sense that the first derivative is not surjective. In the first part of the paper we pursue an approach based on the constructions of the p-regularity theory. For p-regular calculus of variations problem we formulate and prove necessary and sufficient conditions for optimality in singular case and illustrate our results by classical example of calculus of variations...

Positive bases in ordered subspaces with the Riesz decomposition property

Vasilios Katsikis, Ioannis A. Polyrakis (2006)

Studia Mathematica

In this article we suppose that E is an ordered Banach space whose positive cone is defined by a countable family = f i | i of positive continuous linear functionals on E, i.e. E₊ = x ∈ E | f i ( x ) 0 for each i, and we study the existence of positive (Schauder) bases in ordered subspaces X of E with the Riesz decomposition property. We consider the elements x of E as sequences x = ( f i ( x ) ) and we develop a process of successive decompositions of a quasi-interior point of X₊ which at each step gives elements with smaller support....

Currently displaying 181 – 200 of 444