Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
Some new oscillation criteria are obtained for second order elliptic differential equations with damping
$∑_{i,j=1}^{n} D_i[A_{ij}(x)D_jy] + ∑_{i=1}^{n} b_i(x)D_iy + q(x)f(y) = 0$, x ∈ Ω,
where Ω is an exterior domain in ℝⁿ. 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 Ω ⊂ ℝⁿ, rather than on the whole exterior domain Ω. Our results are more natural in view of the Sturm Separation Theorem.
$∑_{i,j=1}^{n} D_i[A_{ij}(x)D_jy] + ∑_{i=1}^{n} b_i(x)D_iy + q(x)f(y) = 0$, x ∈ Ω,
where Ω is an exterior domain in ℝⁿ. 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 Ω ⊂ ℝⁿ, rather than on the whole exterior domain Ω. Our results are more natural in view of the Sturm Separation Theorem.
Słowa kluczowe
Kategorie tematyczne
Czasopismo
Rocznik
Tom
Numer
Strony
31-42
Opis fizyczny
Daty
wydano
2005
Twórcy
autor
- Department of Mathematics, Huizhou University, Huizhou, Guangdong 516015, P.R. China
autor
- Department of Mathematics, Sun Yat-Sen (Zhongshan) University, Guangzhou 510275, P.R. China
Bibliografia
Typ dokumentu
Bibliografia
Identyfikatory
DOI
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_4064-ap86-1-4