Browse Journals

[1] F. Cardin and C. Viterbo, Commuting Hamiltonians and Hamilton-Jacobi multi-time equations, Duke Math. J. 144(2) (2008), 235-284.

[2] N. Y. Ibragimov, Integrating factors, adjoint equations and Lagrangians, J. Math. Anal. Appl. 318(2) (2006), 742-757.

[3] O. Krupkova, Hamiltonian field theory revisited: A geometric approach to regularity, Steps in Differential Geometry, Proceedings of the Colloquium on Differential Geometry, 25-30 July, 2000, Debrecen, Hungary.

[4] L. P. Lebedev and M. J. Cloud, The Calculus of Variations and Functional Analysis with Optimal Control and Applications in Mechanics, World Scientific, Series A, 12, 2003.

[5] R. Miron, The Geometry of Higher Order Lagrange Spaces, Applications to Mechanics and Physics, Kluwer, FTPH no. 82, 1997.

[6] M. Motta and F. Rampazzo, Nonsmooth multi-time Hamilton-Jacobi systems, Indiana Univ. Math. J. 55(5) (2006), 1573-1614.

[7] J. C. Rochet, The taxation principle and multitime Hamilton-Jacobi equations, J. Math. Econom. 14(2) (1985), 113-128.

[8] M. R. Roman, Higher Order Lagrange Spaces, Applications, PhD Thesis, University of Iassy, 2001.

[9] D. J. Saunders, The Geometry of Jet Bundles, Cambridge Univ. Press, 1989.

[10] S. Treanţă, On multi-time Hamilton-Jacobi theory via second order Lagrangians, U.P.B. Sci. Bull., Series A: Appl. Math. Phys. 76(3) (2014), 129-140.

[11] S. Treanţă and C. Vârsan, Linear higher order PDEs of Hamilton-Jacobi and parabolic type, Math. Reports 16(66)(2) (2014), 319-329.

[12] S. Treanţă, PDEs of Hamilton-Pfaff type via multi-time optimization problems, U.P.B. Sci. Bull., Series A: Appl. Math. Phys. 76(1) (2014), 163-168.

[13] P. N. V. Tu, Introductory Optimization Dynamics, Springer-Verlag, 1991.

[14] C. Udrişte, Dynamics induced by second-order objects, BSG Proc. 4, Geometry Balkan Press (2000), 161-168.

[15] C. Udrişte and I. Ţevy, Multi-time Euler-Lagrange-Hamilton theory, WSEAS Transactions on Mathematics 6(6) (2007), 701-709.

[16] C. Udrişte, L. Matei and I. Duca, Multi-time Hamilton-Jacobi theory, Proceedings of the 8-th WSEAS International Conference on Applied Computer and Applied Computational Science (2009), 509-513.