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http://hdl.handle.net/10773/14644| Title: | A general delta-nabla calculus of variations on time scales with application to economics |
| Author: | Dryl, M. Torres, D. F. M. |
| Keywords: | Application to economics Calculus of variations Discretisations Euler-Lagrange equations Time scales Application programs Difference equations Differential equations Economics Equations of motion Euler equations Investments Lagrange multipliers Time measurement Cost functionals Delta and nabla integrals Investment policies Production rates Time-scales Calculations |
| Issue Date: | 2014 |
| Publisher: | Inderscience |
| Abstract: | We consider a general problem of the calculus of variations on time scales with a cost functional that is the composition of a certain scalar function with delta and nabla integrals of a vector valued field. Euler-Lagrange delta-nabla differential equations are proved, which lead to important insights in the process of discretisation. Application of the obtained results to a firm that wants to program its production and investment policies to reach a given production rate and to maximise its future market competitiveness is discussed. |
| Peer review: | yes |
| URI: | http://hdl.handle.net/10773/14644 |
| DOI: | 10.1504/IJDSDE.2014.067108 |
| ISSN: | 1752-3583 |
| Appears in Collections: | CIDMA - Artigos |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| [311]IJDSDE_Dryl_Torres.pdf | 343.49 kB | Adobe PDF |  |
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