A general delta-nabla calculus of variations on time scales with application to economics (Q907878)
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| Language | Label | Description | Also known as |
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| English | A general delta-nabla calculus of variations on time scales with application to economics |
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A general delta-nabla calculus of variations on time scales with application to economics (English)
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26 January 2016
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Summary: 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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calculus of variations
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time scales
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Euler-Lagrange equations
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discretization
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economics
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