Matematičeskie zametki, Tome 9 (1971) no. 2, pp. 151-160
Citer cet article
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/
@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},
year = {1971},
volume = {9},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1971_9_2_a5/}
}
TY - JOUR
AU - V. A. Bondarenko
TI - Integral inequalities for Volterra's equation in a Banach space with a cone
JO - Matematičeskie zametki
PY - 1971
SP - 151
EP - 160
VL - 9
IS - 2
UR - http://geodesic.mathdoc.fr/item/MZM_1971_9_2_a5/
LA - ru
ID - MZM_1971_9_2_a5
ER -
%0 Journal Article
%A V. A. Bondarenko
%T Integral inequalities for Volterra's equation in a Banach space with a cone
%J Matematičeskie zametki
%D 1971
%P 151-160
%V 9
%N 2
%U http://geodesic.mathdoc.fr/item/MZM_1971_9_2_a5/
%G ru
%F MZM_1971_9_2_a5
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.
