Nasiri, L., Sameripour, A. (2018). The spectral properties of differential operators with matrix coefficients on elliptic systems with boundary conditions. Sahand Communications in Mathematical Analysis, 10(1), 37-46. doi: 10.22130/scma.2017.27152

Leila Nasiri; Ali Sameripour. "The spectral properties of differential operators with matrix coefficients on elliptic systems with boundary conditions". Sahand Communications in Mathematical Analysis, 10, 1, 2018, 37-46. doi: 10.22130/scma.2017.27152

Nasiri, L., Sameripour, A. (2018). 'The spectral properties of differential operators with matrix coefficients on elliptic systems with boundary conditions', Sahand Communications in Mathematical Analysis, 10(1), pp. 37-46. doi: 10.22130/scma.2017.27152

Nasiri, L., Sameripour, A. The spectral properties of differential operators with matrix coefficients on elliptic systems with boundary conditions. Sahand Communications in Mathematical Analysis, 2018; 10(1): 37-46. doi: 10.22130/scma.2017.27152

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

^{}Department of Mathematics and computer science, Faculty of science, Lorestan University, Khorramabad, Iran.

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.

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