- Tytuł:
- P-order necessary and sufficient conditions for optimality in singular calculus of variations
- Autorzy:
-
Prusińska, Agnieszka
Tret'yakov, Alexey - Powiązania:
- https://bibliotekanauki.pl/articles/729251.pdf
- Data publikacji:
- 2010
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
singular variational problem
necessary condition of optimality
p-regularity
p-factor operator - Opis:
- 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 problem.
- Źródło:
-
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2010, 30, 2; 269-279
1509-9407 - Pojawia się w:
- Discussiones Mathematicae, Differential Inclusions, Control and Optimization
- Dostawca treści:
- Biblioteka Nauki