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  4. Local manifolds for non-autonomous boundary Cauchy problems: existence and attractivity

Local manifolds for non-autonomous boundary Cauchy problems: existence and attractivity

MMC.
2022;
Volume 9, Number 3
: pp. 678–693
https://doi.org/10.23939/mmc2022.03.678
Received: December 02, 2021
Accepted: February 07, 2022

Mathematical Modeling and Computing, Vol. 9, No. 3, pp. 678–693 (2022)

Authors:
  1. A. Jerroudi
  2. M. Moussi
1
Department of Mathematics and Informatics, Faculty of science University Mohammed I
2
Department of Mathematics and Informatics, Faculty of science University Mohammed I

In this work we establish the existence of local stable and local unstable manifolds for nonlinear boundary Cauchy problems.  Moreover, we illustrate our results by an application to a non-autonomous Fisher–Kolmogorov equation.

non-autonomous boundary Cauchy problem
local manifold
non-autonomous Fisher–Kolmogorov equation
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