On non-definite Sturm-Liouville problems with two turning points

Published 15 Jul 2012 in math.CA | (1207.3483v2)

Abstract: This is an inaugural study of the Dirichlet problem associated with a regular non-definite Sturm-Liouville equation in the case of two turning points. We give a priori lower bounds on the Richardson numbers associated with this problem thereby complementing pioneering results by Atkinson and Jabon (1984) in the one turning point case

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