Necessary optimality conditions for infinite horizon variational problems on time scales

Monika Dryl; Delfim F. M. Torres

doi:10.3934/naco.2013.3.145

Article Contents

2013, Volume 3, Issue 1: 145-160. Doi: 10.3934/naco.2013.3.145

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Necessary optimality conditions for infinite horizon variational problems on time scales

Monika Dryl^1, and
Delfim F. M. Torres^2,

1.
Center for Research and Development in Mathematics and Applications, Department of Mathematics, University of Aveiro, 3810-193 Aveiro
2.
CIDMA — Center for Research and Development in Mathematics and Applications, Department of Mathematics, University of Aveiro, 3810-193 Aveiro

Received: November 30, 2011

Revised: October 31, 2012

Published: December 2012

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Abstract

We prove Euler--Lagrange type equations and transversality conditions for generalized infinite horizon problems of the calculus of variations on time scales. Here the Lagrangian depends on the independent variable, an unknown function and its nabla derivative, as well as a nabla indefinite integral that depends on the unknown function.

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Mathematics Subject Classification: Primary: 49K05; Secondary: 34N05.

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References

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