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 |
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doaj-35608f8d4905457fb3c45f5abd8a26d82020-11-24T23:46:52ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252003-01-012003251599161410.1155/S016117120320209XOn Hill's equation with a discontinuous coefficientIlkay Yaslan Karaca0Department of Mathematics, Faculty of Science, Ege University, Izmir 35100, TurkeyWe 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).http://dx.doi.org/10.1155/S016117120320209X |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Ilkay Yaslan Karaca |
| spellingShingle |
Ilkay Yaslan Karaca On Hill's equation with a discontinuous coefficient International Journal of Mathematics and Mathematical Sciences |
| author_facet |
Ilkay Yaslan Karaca |
| author_sort |
Ilkay Yaslan Karaca |
| title |
On Hill's equation with a discontinuous coefficient |
| title_short |
On Hill's equation with a discontinuous coefficient |
| title_full |
On Hill's equation with a discontinuous coefficient |
| title_fullStr |
On Hill's equation with a discontinuous coefficient |
| title_full_unstemmed |
On Hill's equation with a discontinuous coefficient |
| title_sort |
on hill's equation with a discontinuous coefficient |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2003-01-01 |
| description |
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). |
| url |
http://dx.doi.org/10.1155/S016117120320209X |
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AT ilkayyaslankaraca onhillsequationwithadiscontinuouscoefficient |
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