Natural Boundary Conditions in the Calculus of Variations
Agnieszka B. Malinowska, Delfim F. M. Torres
TL;DR
This paper establishes necessary optimality conditions for calculus of variations problems on time scales, especially when the Lagrangian depends on free end-points, unifying continuous and discrete cases.
Contribution
It introduces a new framework for boundary conditions in the calculus of variations on time scales with free end-points, extending classical results.
Findings
Derived necessary optimality conditions for boundary value problems.
Unified continuous and discrete calculus of variations.
Extended classical boundary conditions to time scales.
Abstract
We prove necessary optimality conditions for problems of the calculus of variations on time scales with a Lagrangian depending on the free end-point.
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