On comparison principles for the periodic Hill's equation
نویسندگان
چکیده
In this work, we make an exhaustive study of the properties of the Green’s function related to the periodic boundary value problem Lax ≡ x′′ + a(t) x = 0, x(0) = x(T ), x′(0) = x′(T ), with a sign-changing potential a(t). Moreover, we obtain new explicit criteria that ensures that the maximum or anti-maximum principle holds for this equation. The given criteria complement previous results in the literature.
منابع مشابه
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ورودعنوان ژورنال:
- J. London Math. Society
دوره 86 شماره
صفحات -
تاریخ انتشار 2012