Consideration is devoted to travelling multiple-front (back) wave solutions of the FitzHugh--Nagumo equations of bistable type. In particular, stability of the 1-front (back) wave is proven. In the proof, the eigenvalue problem for the 1-front wave bifurcating from coexisting simple front and back waves is regarded as a bifurcation problem for projectivized eigenvalue equations, rather than treated as a linear eigenvalue problem for each fixed wave.
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Shunsaku Nii (1997) studied this question.
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