二阶椭圆型微分方程解的振动定理

Abstract

Abstract:

Consider the second order elliptic equations ∑^n_{i,j}∂/∂x_i{A_{i,j}(x,y)∂/∂x_j}+q(x)f(y)=0 (E),Some oscillation criteria are obtained for Eq.(E) in an exterior domain Ω R^n (n≥2), where q(x) is allowed to change sign.Generalized partial Riccati transformation and averaging technique are employed to establish our results.

Key words: Oscillation, Elliptic , equations of second order, Averaging technique, Generalized partial Riccati transformation

CLC Number:

35J60

XU Zhi-Ting, MA Dong-Kui, GU Bao-Guo. Oscillation Theorems for Elliptic Equations of Second Order[J].Acta mathematica scientia,Series A, 2004, 24(2): 144-151.

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Oscillation Theorems for Elliptic Equations of Second Order

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