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arXiv · 1410.1190

A General Delta-Nabla Calculus of Variations on Time Scales with Application to Economics

Monika Dryl·Delfim F. M. Torres
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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 discretization. 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 maximize its future market competitiveness is discussed.

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Monika Dryl, Delfim F. M. Torres. 2014-10-05. A General Delta-Nabla Calculus of Variations on Time Scales with Application to Economics. https://doi.org/10.1504/ijdsde.2014.067108

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