Geodesic
Volterra inequalities in~function spaces
Sbornik. Mathematics, Tome 195 (2004) no. 9, pp. 1235-1251

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We present results on local solubility, extendability of solutions, and the existence of upper and lower solutions of equations with monotonic generalized Volterra operators in Banach function spaces. These results are analogous to the well-known theorems on the integral and differential inequality and can be used for estimating solutions of various functional-differential equations. 
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     author = {E. S. Zhukovskii},
     title = {Volterra inequalities in~function spaces},
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     url = {http://geodesic.mathdoc.fr/item/SM_2004_195_9_a0/}
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E. S. Zhukovskii. Volterra inequalities in~function spaces. Sbornik. Mathematics, Tome 195 (2004) no. 9, pp. 1235-1251. http://geodesic.mathdoc.fr/item/SM_2004_195_9_a0/