Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Unified formalism for the generalized kth-order Hamilton-Jacobi problem   The geometric formulation of the Hamilton-Jacobi theory enables us to
generalize it to systems of higher-order ordinary differential equations. In
this work we introduce the unified Lagrangian-Hamiltonian formalism for the
geometric Hamilton-Jacobi theory on higher-order autonomous dynamical systems
described by regular Lagrangian functions.

35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con