26 citations · 92 across the 14 of their papers we have counts for
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math-ph2017★ 10 cited
A Hamilton-Jacobi theory for implicit differential systems
O. Esen, M. de León, C. Sardón
In this paper, we propose a geometric Hamilton-Jacobi theory for systems of implicit differential equations. In particular, we are interested in implicit Hamiltonian systems, descr…
math-ph2017
Geometry of the discrete Hamilton--Jacobi equation. Applications in optimal control
M. de León, C. Sardón
In this paper, we review the discrete Hamilton--Jacobi theory from a geometric point of view. In the discrete realm, the usual geometric interpretation of the Hamilton--Jacobi theo…