%0 Journal Article
%T The spectral properties of differential operators with matrix coefficients on elliptic systems with boundary conditions
%J Sahand Communications in Mathematical Analysis
%I University of Maragheh
%Z 2322-5807
%A Nasiri, Leila
%A Sameripour, Ali
%D 2018
%\ 04/01/2018
%V 10
%N 1
%P 37-46
%! The spectral properties of differential operators with matrix coefficients on elliptic systems with boundary conditions
%K Resolvent
%K Distribution of eigenvalues
%K Non-selfadjoint differential operators
%R 10.22130/scma.2017.27152
%X Let $$(Lv)(t)=\sum^{n} _{i,j=1} (-1)^{j} d_{j} \left( s^{2\alpha}(t) b_{ij}(t) \mu(t) d_{i}v(t)\right),$$ 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.
%U https://scma.maragheh.ac.ir/article_27152_70e08c9b43440114768339d1f55188af.pdf