
19.3.25 Linear Operators
Condition: In the material linear space \ (C [0, \ Pi] \) Find your own values and own vectors of the operator \ (A X (t) = x^{\ prime \ prime} (t) \) if the operator is determined on the set \ [D (A) = \ Left \ {X \ in [0, \ PI]: X^{\ Prime \ Prime} \ in C [0, \ Pi], X (0) = X (\ Pi) = 0 \ Right \}. \]