Transversality Conditions for Infinite Horizon Variational Problems on Time Scales

Abstract

We consider problems of the calculus of variations on unbounded time scales. We prove the validity of the Euler-Lagrange equation on time scales for infinite horizon problems, and a new transversality condition.

Submitted 6-October-2009; Accepted 19-March-2010 in revised form; for publication in "Optimization Letters".

References in corpus (5)

• Noether's Theorem on Time Scales
• Calculus of Variations on Time Scales with Nabla Derivatives
• Higher-Order Calculus of Variations on Time Scales
• Isoperimetric problems on time scales with nabla derivatives
• The diamond-alpha Riemann integral and mean value theorems on time scales

Cited by in corpus (2)

• Generalizing the variational theory on time scales to include the delta indefinite integral
• Optimality conditions for the calculus of variations with higher-order delta derivatives