Sturm-Liouville Problems Whose Leading Coefficient Function Changes Sign
Sturm-Liouville Problems Whose Leading Coefficient Function Changes Sign
Abstract For a given Sturm-Liouville equation whose leading coefficient function changes sign, we establish 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 …