A general delta-nabla calculus of variations on time scales with application to economics
by Monika Dryl; Delfim F.M. Torres
International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 5, No. 1, 2014

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.

Online publication date: Wed, 29-Apr-2015

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