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This paper is concerned with the eigenvalue problems of SturmLiouville differential expressions with general separated boundary conditions. With the aid of properties of analytic functions, only under the standard integrability conditions, we obtain the continuity of eigenvalues in the weak topology of L[a, b] on all the coefficient functions of the differential expressions. AMS Subject Classification: 34B24, 34L15

CONTINUITY OF EIGENVALUES IN WEAK TOPOLOGY FOR REGULAR STURM-LIOUVILLE PROBLEMS