On Hill's equation with piecewise constant coefficient

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Tarih

1997

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Dergi ISSN

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Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

In this paper the eigenvalues of the periodic and the semi-periodic boundary value problems associated with Hill's equation are investigated in the case of piecewise constant coefficient. As a corollary the asymptotic formula for the lengths of the instability intervals of Hill's equation is derived and it is shown that they increase beyond all bounds. Also, the conditions for coexistence of periodic and semi-periodic solutions are indicated. © TÜBİTAK.

Açıklama

Anahtar Kelimeler

Kaynak

Turkish Journal of Mathematics

WoS Q Değeri

Scopus Q Değeri

Q2

Cilt

21

Sayı

4

Künye