ordinary differential equations with spectral parameter in boundary conditions
On the perturbation of the Dirac operator by a finite difference operator
On the basis of introducing finite-dimensional extensions of a given operator with outcome to a wider space the perturbation of the minimal symmetric Dirac operator in the space \(L^2((0, \infty),\mathbb{C}^2)\) by a finite difference Hermitian operator in \(\mathbb{C}^n\) is investigated. Such perturbation gives the boundary value problem for the system of two ordinary differential equations with spectral parameter in boundary conditions. For this reducing the \textit{A. V. Strauss} method [Dokl. Akad. Nauk SSSR 144, No. 3, 512-515 (1962; Zbl 0151.19501)] is used.
scientific article; zbMATH DE number 1623050