Abstract
The nonlinear singular integral equation for ‘‘self‐energy’’ Σ(k,z) arising in Kirkpatrick’s mode‐coupling theory of glass transition is analyzed without suppressing the k dependence. An equation that is equivalent to Kirkpatrick’s equation and suitable for high density is set up. Applicability of Lika’s generalization of the Newton–Kantorovich successive approximation is discussed. The possibility of solutions that cannot be found by iteration is pointed out.
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