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Stability of the null solution of parabolic functional inequalities

Stability of the null solution of parabolic functional inequalities

Uniqueness and stability theorems are established for coupled systems of parabolic differential equations which may involve a Volterra-type dependence on the past history of the process. We allow retarded or deviating arguments, convolution-type memory terms, and strong coupling. (This means that all the space derivatives up to a given order …