摘要

Some annulus oscillation criteria are established for the second order clamped elliptic differential equation Sigma(N)(i,j=1) D(i)[a(ij)(x)D(j)y] Sigma(N)(i=1)b(i)(x)D(i)y C(x, y) = 0 under quite general assumption that they are based on the information only on a sequence of annuluses of Omega(r(0)) rather than on the whole exterior domain Omega(r(0)). Our results are extensions of those clue to Kong for ordinary differential equations. In particular, the results obtained here can be applied to the extreme case such as integral(Omega(r0)) c(x)dx = -infinity.

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