期刊
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
卷 147, 期 3, 页码 419-442出版社
SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10957-010-9730-1
关键词
Hahn's difference operator; Jackson-Norlund's integral; Quantum calculus; Calculus of variations; Leitmann's principle; Ramsey model
资金
- Portuguese Foundation for Science and Technology (FCT) through the Center for Research and Development in Mathematics and Applications (CIDMA)
- Bialystok University of Technology via Polish Ministry of Science and Higher Education
We introduce the Hahn quantum variational calculus. Necessary and sufficient optimality conditions for the basic, isoperimetric, and Hahn quantum Lagrange problems, are studied. We also show the validity of Leitmann's direct method for the Hahn quantum variational calculus, and give explicit solutions to some concrete problems. To illustrate the results, we provide several examples and discuss a quantum version of the well known Ramsey model of economics.
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