Existence of solutions to a self-referred and hereditary system of differential equations

Date

2006-01-16

Authors

Pascali, Eduardo

Journal Title

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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.

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Attribution 4.0 International

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