Kernels of an integro-differential equation from an initial pulse
We consider an integro-differential equation, proposed in the literature as a model of neuronal activity. We establish conditions under which an initial activity function exhibiting localized pattern formation completely characterizes the system. We also investigate how such an initial activity determines more complicated pattern formations. © Dynamic Publishers, Inc.
Communications in Applied Analysis
Botelho, F., Jamison, J., & Murdock, J. (2007). Kernels of an integro-differential equation from an initial pulse. Communications in Applied Analysis, 11 (2), 327-337. Retrieved from https://digitalcommons.memphis.edu/facpubs/5008