Inverse-Definiteness of the Fourth-Order Symmetric Differential Operator （Ⅰ） Inverse-Definiteness of the Fourth-Order Symmetric Differential Operator (I)期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Inverse-Definiteness of the Fourth-Order Symmetric Differential Operator （Ⅰ）

摘要：

关键词：

线性均衡微分算子无限格林方程 Sobolev空间一致收敛

Inverse-Definiteness of the Fourth-Order Symmetric Differential Operator (I)

Wei?Yin?YeEmail author. Inverse-Definiteness of the Fourth-Order Symmetric Differential Operator (I)[J]. Acta Mathematica Sinica(English Series), 2004, 20(3): 533-542. DOI: 10.1007/s10114-004-0328-0

Authors:

Wei?Yin?Ye author-information" > author-information__contact u-icon-before" > mailto:wyye@pine.njnu.edu.cn" title=" wyye@pine.njnu.edu.cn" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author

Affiliation:

(1) Department of Mathematics, Nanjing Normal University, Nanjing, 210097, P. R. China

Abstract:

Abstract We give a linear symmetric differential operator L defined by

$L: = D^{4} + bD^{2} + aI$

in the 2π-periodic function space, and study the inverse-definiteness property of L. We obtain a complete result about the inverse-definiteness property of L with real constants a and b when b ²-4a > 0 and a - bk ² + k ⁴ ≠ 0 for any k ∈? {1, 2, 3, . . . }. Supported by GNAFACNR and the Natural Science Foundation of China and Jiangsu Provincial Education Commission

Keywords:

KeywordHeading" > Linear symmetric differential operator Inverse-definiteness Green function

本文献已被 SpringerLink 等数据库收录！

设为首页 | 免责声明 | 关于勤云 | 加入收藏