The retarded Josephson equation, which takes into account, in a simplified form, retardation effects of the Werthamer equation, is a nonlinear, nonsimultaneous, causal integrodifferential equation. It will be solved for kernels which are essentially the asymptotic kernels from BCS theory. Of physical interest are the rotational solutions, especially the characteristics and dynamics, which describe the steady state of a Josephson junction.
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W. A. Schlup (1978) studied this question.
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