Maximum and anti-maximum principles for singular Sturm–Liouville problems
1998 ◽
Vol 128
(3)
◽
pp. 525-547
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Keyword(s):
The maximum and anti-maximum principles are extended to the case of eigenvalue Sturm–Liouville problemswith boundary conditions of Dirichlet type (if possible) on a bounded interval [a, b]. The function r is assumed to be continuous and > 0 on ]a, b[, but the function 1/r is not necessarily integrable on [a, b]. The conditions on the functions p, m and h depend on the integrability or nonintegrability of 1/r on [a, c] and/or [c, b], for some c ∈ ]a, b[. The weight function m is not necessarily of constant sign.
1986 ◽
Vol 38
(4)
◽
pp. 861-877
◽
2001 ◽
Vol 131
(1)
◽
pp. 45-58
◽
1976 ◽
Vol 74
◽
pp. 145-155
◽
1971 ◽
Vol 69
(2)
◽
pp. 139-148
1993 ◽
Vol 35
(1)
◽
pp. 63-67
◽
1948 ◽
Vol 44
(2)
◽
pp. 242-250
◽
1994 ◽
Vol 37
(1)
◽
pp. 57-72
◽
Keyword(s):
1998 ◽
Vol 41
(3)
◽
pp. 573-583
◽
1984 ◽
Vol 97
◽
pp. 259-263
◽
Keyword(s):