Mazouzi, Said; Tatar, Nasser-Eddine New bounds for solutions of a singular integro-differential inequality. (English) Zbl 1189.42008 Math. Inequal. Appl. 13, No. 2, 427-435 (2010). Summary: New bounds for solutions of an integro-differential inequality with weakly singular kernel are established using a weighted version of the Hardy-Littlewood-Sobolev inequality. Besides, some applications to real world problems are presented. Cited in 7 Documents MSC: 42B20 Singular and oscillatory integrals (Calderón-Zygmund, etc.) 26D07 Inequalities involving other types of functions 26D15 Inequalities for sums, series and integrals Keywords:Hardy-Littlewood-Sobolev inequality; weakly singular kernel; integro-differential inequality; analytic semigroup PDFBibTeX XMLCite \textit{S. Mazouzi} and \textit{N.-E. Tatar}, Math. Inequal. Appl. 13, No. 2, 427--435 (2010; Zbl 1189.42008) Full Text: DOI