二阶微分算子属于极限圆型的判定

THE JUDGE OF SECOND ORDER DIFFERENTIAL OPERATOR WHICH BELONGS TO LIMIT CIRCULAR

本文在半直线 a≤ t<∞上研究微分算子 L=d2dt2 + [q1(t) + q2 (t) ].当摄动 q2 (t)∈ LP [a,∞ ) (p≥ 1 )时 ,给出了三个这方面的充分条件 (一个定理和两个推论 ) ,它不能为 Titchmarsh的判定所包含 .

This article studies diffenential operator L =d 2d t 2+ [q 1(t)+q 2(t)] ,on the basis of semi-straight line a≤t<∞. When perturbation q 2(t)∈L P[a,∞)(p≥1), put 3 sufficient conditions about this,it can not contain Titchwarsh.