In Middle Volga Mathematical Society

Green functions construction for model boundary value problems with displacements

T. E. Badokina^a, O. V. Makeeva^b, D. E. Rakhmatullova<sup>b

a</sup> Mordovian State University
^b Ul'yanovsk State Pedagogical University

Abstract: For the simplest Sturm-Liouville problem with one or two displacements by standard methods [1] Green functions are constructed. By this the Fredholm property for these problems is proved.

Keywords: Sturm-Liouville problem; displacements in boundary conditions; Green functions.

UDC: 517.927