Single-Time and Multi-Time Hamilton–Jacobi Theory Based on Higher Order Lagrangians-Reference-Cited by-同舟云学术

Single-Time and Multi-Time Hamilton–Jacobi Theory Based on Higher Order Lagrangians

Published:2017 Issue: Volume: Page:71-95
ISSN:
Container-title:Mathematical and Statistical Applications in Life Sciences and Engineering
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Author:

Treanţă Savin,Udrişte Constantin

Publisher

Springer Singapore

Link

http://link.springer.com/content/pdf/10.1007/978-981-10-5370-2_3

Reference18 articles.

1. Cardin, F., and C. Viterbo. 2008. Commuting Hamiltonians and Hamilton-Jacobi multi-time equations. Duke Mathematical Journal 144 (2): 235–284.

2. Ibragimov, N.Y. 2006. Integrating factors, adjoint equations and Lagrangians. Journal of Mathematical Analysis and Applications 318 (2): 742–757.

3. Krupkova, O. 2000. Hamiltonian field theory revisited: A geometric approach to regularity. In Steps in differential geometry, proceedings of the colloquium on differential geometry, 25–30 July, Debrecen, Hungary.

4. Lebedev, L.P., and M.J. Cloud. 2003. The calculus of variations and functional analysis with optimal control and applications in mechanics. World Scientific, Series A 12.

5. Miron, R. 1997. The geometry of higher order lagrange spaces. Applications to Mechanics and Physics. Kluwer, FTPH no. 82.

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