On comparison principles for the periodic Hill's equation.

Autor: Cabada, Alberto, Cid, J. Ángel
Předmět:
Zdroj: Journal of the London Mathematical Society; Aug2012, Vol. 86 Issue 1, p272-290, 19p
Abstrakt: In this work, we make an exhaustive study of the properties of the Green's function related to the periodic boundary value problem 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index