Some new oscillation criteria for second order elliptic equations with damping

• Autorzy: Rong-Kun Zhuang , Zheng-an Yao
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 34C10: Oscillation theory, zeros, disconjugacy and comparison theory
• 35B05: Oscillation, zeros of solutions, mean value theorems, etc.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2005
• Tom: 86
• Numer: 1
• Strony: 31-42

Daty

wydano

2005

Twórcy

autor

Rong-Kun Zhuang

• Department of Mathematics, Huizhou University, Huizhou, Guangdong 516015, P.R. China

autor

Zheng-an Yao

• Department of Mathematics, Sun Yat-Sen (Zhongshan) University, Guangzhou 510275, P.R. China

Identyfikatory

DOI

10.4064/ap86-1-4