摘要
本文讨论的积-微分算子是一类以众多应用领域为背景的无界、非自伴线性算子.在较一般的假设下,籍助L^2空间的线性算子理论,我们证明了这类算子存在离散本征值的充分条件,并获得了可供实际工作者参考的估计式.
The integro-differential operator investigated in this paper is a class of unbounded non-selfadjoint operators arising from various applied areas. Under more general assumptions, the existence of the discrete eigenvalues of this kind of operators is shown by using linear operator theory in L, spaces. Furthermore, an estimate which can supply reference to workers is obtained.
出处
《应用数学》
CSCD
北大核心
1992年第1期1-6,共6页
Mathematica Applicata
基金
国家自然科学基金
关键词
积-微分算子
紧算子
离散特征值
Integro-differential operator
Compact operator discrete eigenvalue
C_0-semigroup
Spectrum radius
