Geodesic
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.
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 
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/
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     author = {B\'arta, Tom\'a\v{s}},
     title = {Nonmonotone nonconvolution functions of positive type and applications},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {211--220},
     year = {2012},
     volume = {53},
     number = {2},
     mrnumber = {3017255},
     zbl = {1265.42019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_2012_53_2_a3/}
}
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