Abstract
Travelling wave solutions of integro-differential equations for modeling one-dimensional neuronal networks, are studied. Under moderate continuity assumptions, necessary and sufficient conditions for the existence and uniqueness of monotone increasing (decreasing) Travelling wave solutions are established. Some faults in previous studies are corrected.
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This work was supported in part by the Natural Sciences and Engineering Research Council of Canada.
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Hao, H., Vaillancourt, R. Travelling wave solutions of integro-differential equations of one-dimensional neuronal networks. Acta Math. Appl. Sin. Engl. Ser. 31, 767–782 (2015). https://doi.org/10.1007/s10255-015-0504-2
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DOI: https://doi.org/10.1007/s10255-015-0504-2