Nintendo DS Lite Problem
That sounds like your DS lite have a lose circuit part rolling inside so thats why it cant turn on.
You need to open the console, recover the lose part from the inside and resolder it in its place (usually near the power switch, marked as L2). That should fix the problem, if not then you might have blown fuses, lose screens ribbon cables or broken LCD screens. All of these repairs are discussed in other questions here.
Regards
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