Asymptotic Behavior Of Characteristic Determinant Of The Limit-circle Differential Operators With Two Singular Endpoints

In this thesis,we study the the characteristic determinant△(λ)of n-order limit-circle symmetric differential operators l(y)=(—1)k(poy(k))(k)+(—1)k-1(p1y(k-1))(k-1)+…+pny, defined on the interval(-∞,∞),and its analyticity properties are investigated.In addi-tion,we give the estimation of the characteristic determinant in accordance of determinant algorithm.