Euler-lagrange equation for a delay variational problem
Jo\"el Blot (SAMM), Mamadou Ibrahima Kon\'e (SAMM)
TL;DR
This paper derives Euler-Lagrange equations for a calculus of variations problem involving delayed variables, extending classical methods to incorporate delays in the unknown function.
Contribution
It introduces the Euler-Lagrange equations for delay variational problems, providing a theoretical framework for such delayed systems.
Findings
Derived Euler-Lagrange equations for delay problems
Extended classical calculus of variations to include delays
Provided mathematical foundation for delayed variational systems
Abstract
We establish Euler-Lagrange equations for a problem of Calculus of variations where the unknown variable contains a term of delay on a segment.
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Taxonomy
TopicsNonlinear Differential Equations Analysis · Optimization and Variational Analysis · Contact Mechanics and Variational Inequalities