Sturm-Liouville Problems with Singular Non-Selfadjoint Boundary Conditions
نویسندگان
چکیده
Singular boundary conditions are formulated for non-selfadjoint Sturm-Liouville problems which are limitcircle in a very general sense. The characteristic determinant is constructed and it is shown that it can be used to extend the Birkhoff theory for so called ‘Birkhoff regular boundary conditions’ to the singular case. This is illustrated for a class of singular Birkhoff-regular problems; in particular we prove for this class an asymptotic formula for the eigenvalues and an expansion theorem.
منابع مشابه
Boundary Value Problems with Singular Boundary Conditions
Singular boundary conditions are formulated for non-selfadjoint Sturm-Liouville operators with singularities and turning points. For boundary value problems with singular boundary conditions properties of the spectrum are studied and the completeness of the system of root functions is proved.
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