一类积—微分算子的占优本征值

The dominant eigenvalue for a class of integro-differential operators

本文研究的积-微分算子是以众多应用领域为背景的、无界、非自伴线性算子。我们以泛函分析为工具,籍助 L_2空间的线性算子理论,得到了这类算子存在占优本征值(dominant eigenvalue)的条件。

The integro-differential opertors investigated in this paper is a class of unbounded nonselfadjoint operators arising from various applied areas.By using functional analysis,esspetially,linear operator theory in L_(2) space,we show the existence of the dominant eigenvalue of this kind of operators