Existence of solutions to a self-referred and hereditary system of differential equations
MetadataShow full metadata
We establish the existence and uniqueness of a local solution for the system of differential equations ∂/∂t u(x, t) = u(v(∫t0 u(x, s)ds, t), t) ∂/∂t v(x, t) = v(u(∫t0 v(x, s)ds, t), t). with given initial conditions u(x, 0) = u0(x) and v(x, 0) = v0(x).
CitationPascali, E. (2006). Existence of solutions to a self-referred and hereditary system of differential equations. Electronic Journal of Differential Equations, 2006(07), pp. 1-7.
This work is licensed under a Creative Commons Attribution 4.0 International License.