On Hill's equation with a discontinuous coefficient
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).
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2003-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S016117120320209X |
| Summary: | 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). |
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| ISSN: | 0161-1712 1687-0425 |