Basis Properties Of Root Functions Of A Regularfourth Order Boundary Value Problem

Abstract

In this paper, we consider the following boundary value problemy(4) + q (x) y = λy,0 < x < 1, y′′′ (1) − (−1)σ y′′′ (0) + αy (0) = 0,y(s) (1) − (−1)σ y(s) (0) = 0,s = 0, 2,where λ is a spectral parameter, q (x) L1 (0, 1) is complex-valued function and σ =