Integral Inequalities and their Applications to the Calculus of Variations on Time Scales

Abstract

We discuss the use of inequalities to obtain the solution of certain variational problems on time scales.

To appear in Mathematical Inequalities & Applications (http://mia.ele-math.com). Accepted: 14.01.2010

References in corpus (5)

• Noether's Theorem on Time Scales
• Higher-Order Calculus of Variations on Time Scales
• Diamond-$\alpha$ Jensen's Inequality on Time Scales
• Remarks on the calculus of variations on time scales
• Diamond-alpha Integral Inequalities on Time Scales

Cited by in corpus (10)

• Discrete-Time Fractional Variational Problems
• Transversality Conditions for Infinite Horizon Variational Problems on Time Scales
• 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
• A General Backwards Calculus of Variations via Duality
• Fractional Calculus on Time Scales
• The Variational Calculus on Time Scales
• Delta-Nabla Optimal Control Problems
• L'Hopital-Type Rules for Monotonicity with Application to Quantum Calculus
• The second Noether theorem on time scale