Sturm-Liouville Problems Whose Leading Coefficient Function Changes Sign

@inproceedings{Cao2003SturmLiouvillePW,
  title={Sturm-Liouville Problems Whose Leading Coefficient Function Changes Sign},
  author={Xifang Cao and Qingkai Kong and Hongyou Wu and Anton Zettl},
  year={2003}
}
Fora givenSturm-Liouville equation whoseleading coefficient function changessign, we es- tablish inequalities among the eigenvalues for any coupled self-adjoint boundary condition and those for two corresponding separated self-adjoint boundary conditions. By a recent result of Binding and Volkmer, the eigenvalues(unbounded from both below and above) for a separated self-adjoint bound- ary condition can be numbered in terms of the Prangle; and our inequalities can then be used to index the… CONTINUE READING