Lagrange Equation: Solution for J(q_1,...,q_n)

[matematikuvol]

For functional

J(q_1,...,q_n)=\int^{t}_{t_0}L(q_1,...,q_n;\dot{q}_1,...,\dot{q}_n;t)

Why isn't J(q_1,...,q_n;\dot{q}_1,...,\dot{q}_n;t)?

 

[OldEngr63]

I had an answer for you, but the TeX system stumped me, and I was unable to write it out. Sorry about that.

 

[Dickfore]

J is a functional, and not a function of the q's. It should be written as:
<br /> J[q_1(t), \ldots, q_n(t)]<br />