The spectral properties of differential operators with matrix coefficients on elliptic systems with boundary conditions

Sahand Communications in Mathematical Analysis

Ali Sameripour¹  Leila Nasiri¹ 

[1] Department of Mathematics and computer science, Faculty of science, Lorestan University, Khorramabad, Iran.;

关键词: Resolvent;    Distribution of eigenvalues;    Non-selfadjoint differential operators;   

DOI  :  10.22130/scma.2017.27152

来源: DOAJ

【 摘 要 】

Let $$(Lv)(t)=sum^{n} _{i,j=1} (-1)^{j} d_{j} left( s^{2alpha}(t) b_{ij}(t) mu(t) d_{i}v(t)right),$$ be a non-selfadjoint differential operator on the Hilbert space $L_{2}(Omega)$ with Dirichlet-type boundary conditions. In continuing of papers [10-12], let the conditions made on the operator $ L$ be sufficiently more general than [11] and [12] as defined in Section $1$. In this paper, we estimate the resolvent of the operator $L$ on the one-dimensional space $ L_{2}(Omega)$ using some analytic methods.

【 授权许可】

Unknown