International Journal of Mathematics and Mathematical Sciences

International Journal of Mathematics and Mathematical Sciences / 2003 / Article

Open Access

Volume 2003 |Article ID 584782 | https://doi.org/10.1155/S016117120320209X

Ilkay Yaslan Karaca, "On Hill's equation with a discontinuous coefficient", International Journal of Mathematics and Mathematical Sciences, vol. 2003, Article ID 584782, 16 pages, 2003. https://doi.org/10.1155/S016117120320209X

On Hill's equation with a discontinuous coefficient

Received25 Feb 2002

Abstract

We research the asymptotic formula for the lengths of the instability intervals of the Hill's equation with coefficients q(x) and r(x), where q(x) is piecewise continuous and r(x) has a piecewise continuous second derivative in open intervals (0,b) and (b,a)(0<b<a).

Copyright © 2003 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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