Semibounded Extensions of Singular Ordinary Differential Operators
Canadian mathematical bulletin, Tome 31 (1988) no. 4, pp. 432-438
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The self-adjoint extensions of the singular differential operator Ly = [(py’)’ + qy]/w, where p < 0, w > 0, q ≧ mw, are characterized under limit-circle conditions. It is shown that as long as the coefficients of certain boundary conditions define points which lie between two lines, the extension they help define has the same lower bound.
Krall, Allan M. Semibounded Extensions of Singular Ordinary Differential Operators. Canadian mathematical bulletin, Tome 31 (1988) no. 4, pp. 432-438. doi: 10.4153/CMB-1988-063-x
@article{10_4153_CMB_1988_063_x,
author = {Krall, Allan M.},
title = {Semibounded {Extensions} of {Singular} {Ordinary} {Differential} {Operators}},
journal = {Canadian mathematical bulletin},
pages = {432--438},
year = {1988},
volume = {31},
number = {4},
doi = {10.4153/CMB-1988-063-x},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1988-063-x/}
}
TY - JOUR AU - Krall, Allan M. TI - Semibounded Extensions of Singular Ordinary Differential Operators JO - Canadian mathematical bulletin PY - 1988 SP - 432 EP - 438 VL - 31 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1988-063-x/ DO - 10.4153/CMB-1988-063-x ID - 10_4153_CMB_1988_063_x ER -
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