On solutions to a FitzHugh–Rinzel type model
| Autor: | Monica De Angelis, Fabio de Angelis |
|---|---|
| Přispěvatelé: | De Angelis, F., De Angelis, M. |
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Exact solution
Laplace transform Applied Mathematics General Mathematics Numerical analysis 010102 general mathematics Mathematical analysis Dynamical system 01 natural sciences Integral equation 010305 fluids & plasmas FitzHugh–Rinzel model Nonlinear system Integro-differential equation 0103 physical sciences Fundamental solution Initial value problem 0101 mathematics Ternary operation Mathematics |
| Popis: | A ternary autonomous dynamical system of FitzHugh–Rinzel type is analyzed. The system, at start, is reduced to a nonlinear integro differential equation. The fundamental solution H(x, t) is explicitly determined and the initial value problem is analyzed in the whole space. The solution is expressed by means of an integral equation involving H(x, t) . Moreover, adding an extra control term, explicit solutions are achieved. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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