Original scientific paper
Necessary p-th order optimality conditions for irregular Lagrange problem in calculus of variations
Agnieszka Prusińska
orcid.org/0000-0002-6091-6884
; Department of Mathematics and Physics, Siedlce University of Natural Sciences and Humanities, Siedlce, Poland
Alexey Tret'yakov
; Dorodnicyn Computing Center, Institution of the Russian Academy of Sciences, Moscow, Russia
Abstract
The paper is devoted to singular calculus of variations problems with constraints which are not regular mappings at the solution point, e.i. its derivatives are not surjective. We pursue an approach based on the constructions of the p-regularity theory. For p-regular calculus of variations problem we present necessary conditions for optimality in singular case and illustrate our results by classical example of calculus of variations problem.
Keywords
p-regularity; optimization; singularity; necessary condition
Hrčak ID:
130116
URI
Publication date:
10.12.2014.
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