Viscosity approximation methods for nonexpansive nonself-mappings

In this paper we present nonintegral criteria for oscillation of linear Hamiltonian matrix system U = A(x)U +B(x)V , V = C(x)U −A∗(x)V under the hypothesis (H): A(x), B(x) = B∗(x) > 0, and C(x) = C∗(x) are 2×2 matrices of real valued continuous functions on the interval I = [a,∞), (−∞