一类具正系数的四阶对称微分算子的极限点情形

On the Limit-point Classification of a Class of Fourth Order Selfadjoint Ordinary Differential Operators with Positive Coefficients

研究了形如 ( P2 ( x) eaxy″)″-( P1( x) eaxy′)′+P0 ( x) eaxy的微分算子的一种极限点情形 ,这里 P2 ,P1,P0 分别为次数不超过 1的多项式 .

We studied a class of ordinary differential operators as following (P 2(x) e ax y″)″-(P 1(x) e ax y′)′+P 0(x) e ax y Where P 2,P 1,P 0 are polynominals of degree one.And we get a sufficient condition which guarantee that the operators are limit point.