Geodesic
Some new oscillation criteria for second order elliptic equations with damping
Rong-Kun Zhuang1 ; Zheng-an Yao2
1 Department of Mathematics Huizhou University Huizhou, Guangdong 516015, P.R. China
2 Department of Mathematics Sun Yat-Sen (Zhongshan) University Guangzhou 510275, P.R. China
Annales Polonici Mathematici, Tome 86 (2005) no. 1, pp. 31-42 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

Some new oscillation criteria are obtained for second order elliptic differential equations with damping $$\sum_{i,j=1}^nD_i[A_{ij}(x)D_jy]+\sum_{i=1}^nb_i(x)D_iy+q(x)f(y)=0,\ \quad x\in{\mit\Omega},$$ where ${\mit\Omega} $ is an exterior domain in $\mathbb R^n$. These criteria are different from most known ones in the sense that they are based on the information only on a sequence of subdomains of ${\mit\Omega}\subset \mathbb R^n$, rather than on the whole exterior domain ${\mit\Omega}$. Our results are more natural in view of the Sturm Separation Theorem.
DOI : 10.4064/ap86-1-4
Keywords: oscillation criteria obtained second order elliptic differential equations damping sum sum y quad mit omega where mit omega exterior domain mathbb these criteria different known sense based information only sequence subdomains mit omega subset mathbb rather whole exterior domain mit omega results natural view sturm separation theorem

Rong-Kun Zhuang 1 ; Zheng-an Yao 2

1 Department of Mathematics Huizhou University Huizhou, Guangdong 516015, P.R. China
2 Department of Mathematics Sun Yat-Sen (Zhongshan) University Guangzhou 510275, P.R. China 
@article{10_4064_ap86_1_4,
     author = {Rong-Kun Zhuang and Zheng-an Yao},
     title = {Some new oscillation criteria for second order 
elliptic equations with damping},
     journal = {Annales Polonici Mathematici},
     pages = {31--42},
     year = {2005},
     volume = {86},
     number = {1},
     doi = {10.4064/ap86-1-4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap86-1-4/}
}
TY  - JOUR
AU  - Rong-Kun Zhuang
AU  - Zheng-an Yao
TI  - Some new oscillation criteria for second order 
elliptic equations with damping
JO  - Annales Polonici Mathematici
PY  - 2005
SP  - 31
EP  - 42
VL  - 86
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap86-1-4/
DO  - 10.4064/ap86-1-4
LA  - en
ID  - 10_4064_ap86_1_4
ER  - 
%0 Journal Article
%A Rong-Kun Zhuang
%A Zheng-an Yao
%T Some new oscillation criteria for second order 
elliptic equations with damping
%J Annales Polonici Mathematici
%D 2005
%P 31-42
%V 86
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4064/ap86-1-4/
%R 10.4064/ap86-1-4
%G en
%F 10_4064_ap86_1_4
Rong-Kun Zhuang; Zheng-an Yao. Some new oscillation criteria for second order 
elliptic equations with damping. Annales Polonici Mathematici, Tome 86 (2005) no. 1, pp. 31-42. doi: 10.4064/ap86-1-4

Cité par Sources :