Existence and Asymptotics of Eigenvalues of Indefinite Systems of Sturm–Liouville and Dirac Type

Existence and asymptotic behavior of eigenvalues of indefinite Sturm–Liouville and Dirac systems with integrable coefficients are investigated using Prüfer angle analysis. The results generalize those previously obtained by Atkinson, Mingarelli, Gohberg and Krein and are based on a new theorem that determines the asymptotic behavior of the solution of a Riccati-type equation containing a large parameter