Abstract
This paper is concerned with the spectrum the Hill operator L(y) = −y′′ + Q(x) y in $${L^{2}_{\rm per}[0, \pi]}$$ . We show that the eigenvalues of L can be characterized by knowing one of its eigenfunctions. Applications are given to nonlinear stability of a class of periodic problems.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have