Turkish Journal of Mathematics
DOI
-
Abstract
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.
First Page
461
Last Page
474
Recommended Citation
YASLAN, I. and GUSEINOV, G.Sh. (1997) "On Hill's Equation with Piecewise Constant Coefficient," Turkish Journal of Mathematics: Vol. 21: No. 4, Article 9. Available at: https://journals.tubitak.gov.tr/math/vol21/iss4/9
