Abstract
New oscillation criteria are established for the equation (py′)′+qy=0 that are different from most known ones in the sense that they are based on the information only on a sequence of subintervals of [t0,∞), rather than on the whole half-line. Our results are more natural according to the Sturm Separation Theorem and sharper than some previous results, and can be applied to extreme cases such as ∫∞t0q(t)dt=−∞.
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