摘要The elliptic differential equations of second order ∑i,j=1 n Di[Aij(x,y)Djy]+P(x,y)+Q(x,y,△y)=e(x),x∈Ω will be considered in an exterior domain Ω包含于R^n,n≥2。Some oscillation criteria are given by integral averaging technique.
1ZHANG BINGGEN,ZHAO TAO,B. S. LALLI (Department of Mathematics, Ocean University of Qingdao, Qingdao 266003, China.)(Department of Mathematics, Arizona State University, U.S.A.)(Departmemt of Mathematics, University of Saskatchewan, Canada.).OSCILLATION CRITERIA FOR NONLINEAR SECOND ORDER ELLIPTIC DIFFERENTIAL EQUATIONS[J].Chinese Annals of Mathematics,Series B,1996,17(1):89-102. 被引量:12
5Yeh C C.An oscillation criterion for second order nonlinear differential equations with functional arguments. Journal of Mathematical Analysis and Applications . 1980
6Yan J.On some properties of solution of second nonlinear differential equations. Journal of Mathematical Analysis and Applications . 1989
7Yan J.Oscillatory properties for second order nonlinear differential equations with an "integrally small"coefficient. Acta Mathematica Sinica . 1987
8Xu Z T.Oscillation properties for second order nonlinear FDE changed into an "integrally small" coeffi-cient. Kew Bulletin . 1990
9Kwong M K,Wang J SW.An application of integral inequality to second order nonlinear oscillation. JDiff Eqs . 1982
10Blasko R,Craef J R,Hacik M et al.Oscillatory behavior of solution of nonlinear differential equstions ofthe second order. Journal of Mathematical Analysis and Applications . 1990