Traveling Wave Solutions of Integro-differential Equations of One-dimensional Neuronal Networks

Traveling 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) traveling wave solutions are establi...

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Bibliographic Details
Main Author: Hao, Han
Language:en
Published: 2013
Subjects:
Online Access:http://hdl.handle.net/10393/24244
Description
Summary:Traveling 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) traveling wave solutions are established. Some faults in previous studies are corrected.