Article Contents
Article Contents

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.
Mathematics Subject Classification: Primary: 35K57, 35B40; Secondary: 35K60.

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