Abstract
We study a system of difference equations which, like Hamilton's equations, preserves the standard symplectic structure on R^(2m). In particular, we construct a differential-difference equation which we call the Hamilton-Jacobi difference equation, the analog of the Hamilton-Jacobi equation for our discrete system. We solve the HamiltonJacobi difference equation in a simple case.
| Original language | American English |
|---|---|
| Pages (from-to) | 279-286 |
| Journal | Functional Differential Equations |
| Volume | 3 |
| Issue number | 3-4 |
| State | Published - 1996 |