Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4613868 | Journal of Mathematical Analysis and Applications | 2016 | 22 Pages |
Abstract
We study existence and continuous dependence of the solutions to the Hammerstein operator equation under the transition from continuous nonlinearities in the Hammerstein operator to the Heaviside nonlinearity in a vicinity of the solution, corresponding to the discontinuous nonlinearity case. We apply these results to corresponding problems arising in the neural activity modeling.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Evgenii Burlakov, Arcady Ponosov, John Wyller,