2010/07/09 by Agnieszka B. Malinowska, Delfim F. M. Torres · 1 citation
Computer Science · Mathematics · #Applied mathematics #Calculus (dental) #Calculus of variations #Contact Mechanics and Variational Inequalities #Duality (order theory) #Euler's formula #Mathematical analysis #Mathematics #Nabla symbol #Nonlinear Differential Equations Analysis #Optimization and Variational Analysis #Physics #Pure mathematics #Quotient #math.OC #msc:34N05 #msc:39A12 #msc:49K05
paper · pdf · doi:10.1007/s11590-010-0222-x
published as Optim. Lett. 5 (2011), no. 4, 587--599 · Submitted to Optimization Letters 03-June-2010; revised 01-July-2010; accepted for publication 08-July-2010
arxiv created 2010/07/09 · openalex publication_date 2010/07/23 · arxiv updated 2011/09/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We prove Euler-Lagrange and natural boundary necessary optimality conditions for problems of the calculus of variations which are given by a composition of nabla integrals on an arbitrary time scale. As an application, we get optimality conditions for the product and the quotient of nabla variational functionals.