Isoperimetric Problems on Time Scales with Nabla Derivatives-Reference-Cited by-同舟云学术

Isoperimetric Problems on Time Scales with Nabla Derivatives

Published:2009-03-31 Issue:6 Volume:15 Page:951-958
ISSN:1077-5463
Container-title:Journal of Vibration and Control
language:en
Short-container-title:Journal of Vibration and Control

Author:

Almeida Ricardo¹,Torres Delfim F.M.²

Affiliation:

1. Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal

2. Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal,

Abstract

We prove a necessary optimality condition for isoperimetric problems under nabla-differentiable curves. As a consequence, the recent results of Caputo (2008), that put together seemingly dissimilar optimal control problems in economics and physics, are extended to a generic time scale. We end with an illustrative example of the application of our main result to a dynamic optimization problem from economics.

Publisher

SAGE Publications

Subject

Mechanical Engineering,Mechanics of Materials,Aerospace Engineering,Automotive Engineering,General Materials Science

Link

http://journals.sagepub.com/doi/pdf/10.1177/1077546309103268

Reference15 articles.

1. An application of time scales to economics

2. Realizations of Nonlinear Control Systems on Time Scales

Cited by 62 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The Euler-Lagrange equations of nabla derivatives for variational approach to optimization problems on time scales;Advances in Continuous and Discrete Models;2024-09-03

2. Almost periodic fractional fuzzy dynamic equations on timescales: A survey;Mathematical Methods in the Applied Sciences;2023-11-08

3. Integral transform approach to mimetic discrete calculus;Journal of Physics A: Mathematical and Theoretical;2022-05-13

4. An ergodic approach to Laplace transforms on time scales;Journal of Mathematical Analysis and Applications;2021-10

5. Noether-Type Conserved Quantities on Time Scales for Birkhoffian Systems with Delayed Arguments;Proceedings of the National Academy of Sciences, India Section A: Physical Sciences;2021-03-23