摘要
建立了方程 p(t) y′α- 1 y′′+q(t) y a- 1 y=0振动的新准则 .这些准则不同于现有的许多结果 ,仅需 [t0 ,∞ )中一列子区间上的信息 ,而不是整个半直线 .根据斯图姆定理 ,我们的结果更自然并比先前的结果更“Sharp”,且能应用到∫∞t0q(t) dt=-∞的情形 .
New oscillation criteria are established for the equation(p(t)y′ α-1 y′)′+q(t)y α-1 y=0that are different from most known ones in the sense that they are based on the information only on a sequence of subintervals of [t 0, ∞), rather than on the whole half line. Our results are more natural according to the sturm separation Theorem and shaper than some previous results, and can be applied to extreme cases such as ∫ ∞ t 0 q(t) d t=-∞. [WTHZ]
出处
《山西师范大学学报(自然科学版)》
2003年第2期4-10,共7页
Journal of Shanxi Normal University(Natural Science Edition)