MMN-1173
Principal functions of matrix Sturm-Liouville operators with boundary conditions dependent on the spectral parameter
Deniz Katar; Murat Olgun; Cafer Coskun;Abstract
Let L denote operator generated in L₂(ℝ₊,E) by the differential expression
l(y)=-y′′+Q(x)y, x∈ℝ₊,
and the boundary condition (A₀+A₁λ)Y′(0,λ)-(B₀+B₁λ)Y(0,λ)=0, where Q is a matrix-valued function and A₀, A₁, B₀, B₁ are non-singular matrices, with A₀B₁-A₁B₀≠0.In this paper we investigate the principal functions correspending to the eigenvalues and the spectral singularities of L.
Vol. 15 (2014), No. 2, pp. 525-535