We find conditions under which the system of root functions of the operator Ly = l[y] = ay'(x) + y'(1 - x) + p₁ (x)y(x) + p₂ (x)y(1 - x),x ∈ [0,1],U₁ (y) = ∫₀¹ y(t)dσ (t) = 0, is a Riesz basis in L 2[0, 1].
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Kurdyumov et al. (2008) studied this question.
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