Necessary optimality conditions for the calculus of variations on time scales

2007/04/04 by Rui A. C. Ferreira, Delfim F. M. Torres, Ferreira, Rui A. C. +1
Engineering · Mathematics · #39A12 #49K05 #Classical Analysis and ODEs (math.CA) #Differential Equations and Numerical Methods #FOS: Mathematics #Nonlinear Differential Equations Analysis #Optimization and Control (math.OC) #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.0704.0656

openalex publication_date 2007/04/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study more general variational problems on time scales. Previous results are generalized by proving necessary optimality conditions for (i) variational problems involving delta derivatives of more than the first order, and (ii) problems of the calculus of variations with delta-differential side conditions (Lagrange problem of the calculus of variations on time scales).

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