Higher-order infinite horizon variational problems in discrete quantum calculus
Natalia Martins, Delfim F. M. Torres
TL;DR
This paper develops necessary optimality conditions for complex higher-order infinite horizon variational problems using discrete quantum calculus, advancing the mathematical tools for such optimization issues.
Contribution
It introduces a novel approach applying discrete quantum operators to derive optimality conditions for higher-order infinite horizon variational problems.
Findings
Derived necessary optimality conditions using discrete quantum calculus.
Extended calculus of variations to higher-order infinite horizon problems.
Provided a framework for future research in quantum calculus applications.
Abstract
We obtain necessary optimality conditions for higher-order infinite horizon problems of the calculus of variations via discrete quantum operators.
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