@Article{JPDE-25-295,
author = {Zhang , Linghai and Stoner , Melissa Anne},
title = {Standing Wave Solutions in Nonhomogeneous Delayed Synaptically Coupled Neuronal Networks},
journal = {Journal of Partial Differential Equations},
year = {2012},
volume = {25},
number = {4},
pages = {295--329},
abstract = {<p>The authors establish the existence and stability of standing wave solutions of a nonlinear singularly perturbed systemof integral differential equations and a nonlinear scalar integral differential equation. It will be shown that there exist six standing wave solutions (u(x,t),w(x,t))=(U(x),W(x)) to the nonlinear singularly perturbed system of integral differential equations. Similarly, there exist six standing wave solutions u(x,t)=U(x) to the nonlinear scalar integral differential equation. The main idea to establish the stability is to construct Evans functions corresponding to several associated eigenvalue problems.</p>},
issn = {2079-732X},
doi = {https://doi.org/10.4208/jpde.v25.n4.1},
url = {http://global-sci.org/intro/article_detail/jpde/5188.html}
}