Nonmonotone nonconvolution functions of positive type and applications
Commentationes Mathematicae Universitatis Carolinae, Tome 53 (2012) no. 2, pp. 211-220.

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We present two sufficient conditions for nonconvolution kernels to be of positive type. We apply the results to obtain stability for one-dimensional models of chemically reacting viscoelastic materials.
Classification : 42A82, 45A05, 45M05, 76A10
Keywords: functions of positive type; nonconvolution integral equation; chemically reacting viscoelastic fluid
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Bárta, Tomáš. Nonmonotone nonconvolution functions of positive type and applications. Commentationes Mathematicae Universitatis Carolinae, Tome 53 (2012) no. 2, pp. 211-220. http://geodesic.mathdoc.fr/item/CMUC_2012__53_2_a3/