@article {
author = {Nasiri, Leila and Sameripour, Ali},
title = {The spectral properties of differential operators with matrix coefficients on elliptic systems with boundary conditions},
journal = {Sahand Communications in Mathematical Analysis},
volume = {10},
number = {1},
pages = {37-46},
year = {2018},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2017.27152},
abstract = {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.},
keywords = {Resolvent,Distribution of eigenvalues,Non-selfadjoint differential operators},
url = {http://scma.maragheh.ac.ir/article_27152.html},
eprint = {http://scma.maragheh.ac.ir/article_27152_70e08c9b43440114768339d1f55188af.pdf}
}