Nondecreasing Solutions of a Quadratic Integral Equation of Urysohn Type on Unbounded Interval
Journal of convex analysis, Tome 18 (2011) no. 2, pp. 455-464
Voir la notice de l'article provenant de la source Heldermann Verlag
Using the technique associated with measures of noncompactness we prove the existence of nondecreasing solutions of a class of quadratic integral equation of Urysohn type in the Fréchet space of real functions defined and continuous on an unbounded interval.
Classification :
47H09, 47B38, 47H30
Mots-clés : Fixed-point theorem, measures of noncompactness, nondecreasing solutions, quadratic integral equation of Urysohn type
Mots-clés : Fixed-point theorem, measures of noncompactness, nondecreasing solutions, quadratic integral equation of Urysohn type
@article{JCA_2011_18_2_JCA_2011_18_2_a12,
author = {L. Olszowy},
title = {Nondecreasing {Solutions} of a {Quadratic} {Integral} {Equation} of {Urysohn} {Type} on {Unbounded} {Interval}},
journal = {Journal of convex analysis},
pages = {455--464},
publisher = {mathdoc},
volume = {18},
number = {2},
year = {2011},
url = {http://geodesic.mathdoc.fr/item/JCA_2011_18_2_JCA_2011_18_2_a12/}
}
TY - JOUR AU - L. Olszowy TI - Nondecreasing Solutions of a Quadratic Integral Equation of Urysohn Type on Unbounded Interval JO - Journal of convex analysis PY - 2011 SP - 455 EP - 464 VL - 18 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/JCA_2011_18_2_JCA_2011_18_2_a12/ ID - JCA_2011_18_2_JCA_2011_18_2_a12 ER -
%0 Journal Article %A L. Olszowy %T Nondecreasing Solutions of a Quadratic Integral Equation of Urysohn Type on Unbounded Interval %J Journal of convex analysis %D 2011 %P 455-464 %V 18 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/JCA_2011_18_2_JCA_2011_18_2_a12/ %F JCA_2011_18_2_JCA_2011_18_2_a12
L. Olszowy. Nondecreasing Solutions of a Quadratic Integral Equation of Urysohn Type on Unbounded Interval. Journal of convex analysis, Tome 18 (2011) no. 2, pp. 455-464. http://geodesic.mathdoc.fr/item/JCA_2011_18_2_JCA_2011_18_2_a12/