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Blow-up and asymptotic behavior of solutions to a semilinear integrodifferential system
This paper deals with the blow-up properties and asymptotic
behavior of solutions to a semilinear integrodifferential system
with nonlocal reaction terms in space and time. The blow-up
conditions are given by a variant of the eigenfunction method
combined with new properties on systems of differential
inequalities. At the same time, the blow-up set is obtained. For
some special cases, the asymptotic behavior of the blow-up
solution is precisely characterized.