Geodesic
Integral inequalities for Volterra's equation in a Banach space with a cone
Matematičeskie zametki, Tome 9 (1971) no. 2, pp. 151-160.

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A nonlinear Volterra equation with a continuous monotonic operator is investigated in a Banach space partially ordered by a cone. Existence of a solution is proved, and results are obtained concerning integral inequalities generalizing known strict and nonstrict inequalities. 
@article{MZM_1971_9_2_a5,
     author = {V. A. Bondarenko},
     title = {Integral inequalities for {Volterra's} equation in a {Banach} space with a cone},
     journal = {Matemati\v{c}eskie zametki},
     pages = {151--160},
     publisher = {mathdoc},
     volume = {9},
     number = {2},
     year = {1971},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1971_9_2_a5/}
}
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V. A. Bondarenko. Integral inequalities for Volterra's equation in a Banach space with a cone. Matematičeskie zametki, Tome 9 (1971) no. 2, pp. 151-160. http://geodesic.mathdoc.fr/item/MZM_1971_9_2_a5/