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Asymptotics of the number of eigenvalues of one-term second-order operator equations
We study one-term operator L acting in the space H 1 = L 2 ([0, ∞); H) generated by the operator-differential expression L = -d dx (P(x) d dx ) and the boundary condition y(0) = 0. We evaluate the asymptotic number of eigenvalues of the operator L under certain …