On Hill′s equation with a discontinuous coefficient
Ilkay Yaslan Karaca · International Journal of Mathematics and Mathematical Sciences · 2003
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).