Stationary solutions of continuous and discontinuous neural field equations

被引：6

作者：

Burlakov, Evgenii ^{[1
]}

Ponosov, Arcady ^{[1
]}

Wyller, John ^{[1
]}

机构：

[1] Norwegian Univ Life Sci, Dept Math Sci & Technol, N-1432 As, Norway

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2016年 / 444卷 / 01期

基金：

俄罗斯科学基金会;

关键词：

Discontinuous Hammerstein equations; Solvability; Continuous dependence; WILSON-COWAN MODEL; BUMP SOLUTIONS; EXISTENCE;

D O I：

10.1016/j.jmaa.2016.06.021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study existence and continuous dependence of the solutions to the Hammerstein operator equation under the transition from continuous nonlineaxities in the Hammerstein operator to the Heaviside nonlinearity in a vicinity of the solution, corresponding to the discontinuous nonlinearity rase. We apply these results to corresponding problems arising in the neural activity modeling. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：47 / 68

页数：22

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