Maximum and anti-maximum principles for singular Sturm-Liouville problems
(1998) Royal Society of Edinburgh. Proceedings. Section A (Mathematics) — Vol. 128, p. 525-547 (1998)
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- Abstract
- The maximum and anti-maximum principles are extended to the case of eigenvalue Sturm-Liouville problems -(r(t)u')' + p(t)u = lambda m(t)u + h(t), with 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 epsilon]a, b[. The weight function m is not necessarily of constant sign.
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Duhoux, M. (1998). Maximum and anti-maximum principles for singular Sturm-Liouville problems. Royal Society of Edinburgh. Proceedings. Section A (Mathematics), 128, 525-547. https://hdl.handle.net/2078.5/65644 (Original work published 1998)