Existence of solutions to a self-referred and hereditary system of differential equations
Date
2006-01-16
Authors
Pascali, Eduardo
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
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).
Description
Keywords
Non-linear evolution systems, Hereditary systems
Citation
Pascali, E. (2006). Existence of solutions to a self-referred and hereditary system of differential equations. <i>Electronic Journal of Differential Equations, 2006</i>(07), pp. 1-7.