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Start Over Author "Malinowska, Agnieszka" Topic embedding Topic embeddings (mathematics) Journal computers & mathematics with applications

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1. Time scale differential, integral, and variational embeddings of Lagrangian systems

Author

Cresson, Jacky, Malinowska, Agnieszka B., and Torres, Delfim F.M.

Subjects
*DIFFERENTIAL equations, *INTEGRAL equations, *VARIATIONAL principles, *EMBEDDINGS (Mathematics), *LAGRANGE equations, *MATHEMATICAL analysis
Abstract

Abstract: We introduce differential, integral, and variational delta embeddings. We prove that the integral delta embedding of the Euler–Lagrange equations and the variational delta embedding coincide on an arbitrary time scale. In particular, a new coherent embedding for the discrete calculus of variations that is compatible with the least-action principle is obtained. [Copyright &y& Elsevier]

Published
2012
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