ISSN:
1572-9222
Keywords:
nonlocal reaction-diffusion equations
;
stationary solutions
;
bifurcation from simple eigenvalues
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract The stability of stationary solutions of nonlocal reaction-diffusion equations on a bounded intervalJ of the real line with homogeneous Dirichlet boundary conditions is studied. It is shown that it is possible to have stable stationary solutions which change sign once onJ in the case of constant diffusion when the reaction term does not depend explicitly on the space variable. The problem of the possible types of stable solutions that may exist is considered. It is also shown that Matano's result on the lap-number is still true in the case of nonlocal problems.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02218850
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