Existence of Wave Front Solutions of an Integral Differential Equation in Nonlinear Nonlocal Neuronal Network
Joint Authors
Khalique, Chaudry Masood
Zhang, Lijun
Zhang, Linghai
Yuan, Jie
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-07
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
An integral-differential model equation arising from neuronal networks with very general kernel functions is considered in this paper.
The kernel functions we study here include pure excitations, lateral inhibition, lateral excitations, and more general synaptic couplings (e.g., oscillating kernel functions).
The main goal of this paper is to prove the existence and uniqueness of the traveling wave front solutions.
The main idea we apply here is to reduce the nonlinear integral-differential equation into a solvable differential equation and test whether the solution we get is really a wave front solution of the model equation.
American Psychological Association (APA)
Zhang, Lijun& Zhang, Linghai& Yuan, Jie& Khalique, Chaudry Masood. 2014. Existence of Wave Front Solutions of an Integral Differential Equation in Nonlinear Nonlocal Neuronal Network. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1033982
Modern Language Association (MLA)
Zhang, Lijun…[et al.]. Existence of Wave Front Solutions of an Integral Differential Equation in Nonlinear Nonlocal Neuronal Network. Abstract and Applied Analysis No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-1033982
American Medical Association (AMA)
Zhang, Lijun& Zhang, Linghai& Yuan, Jie& Khalique, Chaudry Masood. Existence of Wave Front Solutions of an Integral Differential Equation in Nonlinear Nonlocal Neuronal Network. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1033982
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033982