TY - JOUR
ID - 27152
TI - The spectral properties of differential operators with matrix coefficients on elliptic systems with boundary conditions
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Nasiri, Leila
AU - Sameripour, Ali
AD - Department of Mathematics and computer science, Faculty of science, Lorestan University, Khorramabad, Iran.
Y1 - 2018
PY - 2018
VL - 10
IS - 1
SP - 37
EP - 46
KW - Resolvent
KW - Distribution of eigenvalues
KW - Non-selfadjoint differential operators
DO - 10.22130/scma.2017.27152
N2 - 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.
UR - https://scma.maragheh.ac.ir/article_27152.html
L1 - https://scma.maragheh.ac.ir/article_27152_70e08c9b43440114768339d1f55188af.pdf
ER -