Picone Identity
Suppose that u and v are solutions of the two homogeneous linear second order differential equations in self-adjoint form
and
Then, for all x with v(x) ≠ 0, the following identity holds
Read more about this topic: Picone Identity
Famous quotes containing the word identity:
“For the mother who has opted to stay home, the question remains: Having perfected her role as a caretaker, can she abdicate control to less practiced individuals? Having put all her identity eggs in one basket, can she hand over the basket freely? Having put aside her own ambitions, can she resist imposing them on her children? And having set one example, can she teach another?”
—Melinda M. Marshall (20th century)