University of MaraghehSahand Communications in Mathematical Analysis2322-580710120180401The spectral properties of differential operators with matrix coefficients on elliptic systems with boundary conditions37462715210.22130/scma.2017.27152ENLeila NasiriDepartment of Mathematics and computer science, Faculty of science, Lorestan University, Khorramabad, Iran.Ali SameripourDepartment of Mathematics and computer science, Faculty of science, Lorestan University, Khorramabad, Iran.0000-0005058-9130Journal Article20170109Let $$(Lv)(t)=sum^{n} _{i,j=1} (-1)^{j} d_{j} left( s^{2alpha}(t) b_{ij}(t) mu(t) d_{i}v(t)right),$$ 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.http://scma.maragheh.ac.ir/article_27152_70e08c9b43440114768339d1f55188af.pdf