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

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

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摘要 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. 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.

作者 Han HAO Rémi VAILLANCOURT

机构地区 Department of Mathematics and Statistics

出处《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2015年第3期767-782,共16页 应用数学学报（英文版）

基金 supported in part by the Natural Sciences and Engineering Research Council of Canada

关键词 travelling wave solution neuronal network integral-differential equation travelling wave solution neuronal network integral-differential equation

分类号 O175 [理学—基础数学]

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Acta Mathematicae Applicatae Sinica

2015年第3期

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

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