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New bounds for solutions of a singular integro-differential inequality. (English) Zbl 1189.42008

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.

MSC:

42B20 Singular and oscillatory integrals (Calderón-Zygmund, etc.)
26D07 Inequalities involving other types of functions
26D15 Inequalities for sums, series and integrals
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