scholarly journals Some new oscillation criteria for second order elliptic equations with damping

2005 ◽  
Vol 86 (1) ◽  
pp. 31-42 ◽  
Author(s):  
Rong-Kun Zhuang ◽  
Zheng-an Yao
Keyword(s):  
Elliptic Equations ◽  
Second Order ◽  
Oscillation Criteria ◽  
Second Order Elliptic Equations

scholarly journals Integral operator and oscillation of second order elliptic equations

2005 ◽  
Vol 36 (2) ◽  
pp. 93-101 ◽  
Author(s):  
Zhiting Xu ◽  
Hongyan Xing
Keyword(s):  
Differential Equation ◽  
Integral Operator ◽  
Elliptic Equations ◽  
Second Order ◽  
Elliptic Differential Equation ◽  
Oscillation Criteria ◽  
Second Order Elliptic Equations

By using integral operator, some oscillation criteria for second order elliptic differential equation$$ \sum^d _{i,j=1} D_i[A_{ij}(x)D_jy]+ q(x)f(y)=0, \;x \in \Omega\qquad \eqno{(E)} $$are established. The results obtained here can be regarded as the extension of the well-known Kamenev theorem to Eq.$(E)$.

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