Integral operator and oscillation of second order elliptic equations

Authors

  • Zhiting Xu
  • Hongyan Xing

DOI:

https://doi.org/10.5556/j.tkjm.36.2005.121

Abstract

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.$(E)$.

Author Biographies

Zhiting Xu

Department of Mathematics, South China Normal University, Guangzhou, 510631, P. R. China.

Hongyan Xing

Department of Applied Mathematics, Guangdong University of Technology, Guangzhou, 510090, P. R. China.

Downloads

Published

2005-06-30

How to Cite

Xu, Z., & Xing, H. (2005). Integral operator and oscillation of second order elliptic equations. Tamkang Journal of Mathematics, 36(2), 93-101. https://doi.org/10.5556/j.tkjm.36.2005.121

Issue

Section

Papers