ON DISCONTINUOUS FUNCTIONAL VOLTERRA INTEGRAL EQUATIONS AND IMPULSIVE DIFFERENTIAL EQUATIONS IN ABSTRACT SPACES
Glasgow mathematical journal, Tome 46 (2004) no. 3, pp. 529-536
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In this paper we apply fixed point results in ordered spaces to derive existence and comparison results for discontinuous functional integral equations of Volterra type in ordered Banach spaces. The results obtained are then applied to first order impulsive differential equations.
HEIKKILÄ, S.; O'REGAN, D. ON DISCONTINUOUS FUNCTIONAL VOLTERRA INTEGRAL EQUATIONS AND IMPULSIVE DIFFERENTIAL EQUATIONS IN ABSTRACT SPACES. Glasgow mathematical journal, Tome 46 (2004) no. 3, pp. 529-536. doi: 10.1017/S0017089504001971
@article{10_1017_S0017089504001971,
author = {HEIKKIL\"A, S. and O'REGAN, D.},
title = {ON {DISCONTINUOUS} {FUNCTIONAL} {VOLTERRA} {INTEGRAL} {EQUATIONS} {AND} {IMPULSIVE} {DIFFERENTIAL} {EQUATIONS} {IN} {ABSTRACT} {SPACES}},
journal = {Glasgow mathematical journal},
pages = {529--536},
year = {2004},
volume = {46},
number = {3},
doi = {10.1017/S0017089504001971},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089504001971/}
}
TY - JOUR AU - HEIKKILÄ, S. AU - O'REGAN, D. TI - ON DISCONTINUOUS FUNCTIONAL VOLTERRA INTEGRAL EQUATIONS AND IMPULSIVE DIFFERENTIAL EQUATIONS IN ABSTRACT SPACES JO - Glasgow mathematical journal PY - 2004 SP - 529 EP - 536 VL - 46 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089504001971/ DO - 10.1017/S0017089504001971 ID - 10_1017_S0017089504001971 ER -
%0 Journal Article %A HEIKKILÄ, S. %A O'REGAN, D. %T ON DISCONTINUOUS FUNCTIONAL VOLTERRA INTEGRAL EQUATIONS AND IMPULSIVE DIFFERENTIAL EQUATIONS IN ABSTRACT SPACES %J Glasgow mathematical journal %D 2004 %P 529-536 %V 46 %N 3 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089504001971/ %R 10.1017/S0017089504001971 %F 10_1017_S0017089504001971
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