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Oscillation and integral norms of coefficients in second-order differential equations
Journal article   Peer reviewed

Oscillation and integral norms of coefficients in second-order differential equations

Caitlin Klimas and Dennis Stowe
Journal of mathematical analysis and applications, v 425(1), pp 451-459
01 May 2015

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
By theorems of Sturm and Lyapunov, the L-infinity and L-1 norms of the coefficient q in a differential equation u '' + q(t)u = 0 limit the oscillation of nontrivial solutions. This paper establishes similar results for the L-P norms when 1 < p < infinity. (C) 2014 Elsevier Inc. All rights reserved.

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Mathematics
Mathematics, Applied
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