Ordinary Differential Operators Under Stieltjes Boundary Conditions
Ordinary Differential Operators Under Stieltjes Boundary Conditions
The operator ${L_p}y = yâ + Py$, whose domain is determined in part by the Stieltjes integral boundary condition $\int _0^1 {d\nu (t)y(t) = 0}$, is studied in $\mathcal {L}_n^p(0,1),1 \leqslant p < \infty$. It is shown that ${L_p}$ has a dense domain; hence there exists a dual operator $L_q^ …