Existence of solutions for quasilinear delay integrodifferential equations with nonlocal conditions
Electronic journal of differential equations, Tome 2009 (2009)
We prove the existence and uniqueness of mild and classical solution to a quasilinear delay integrodifferential equation with nonlocal condition. The results are obtained by using $C_0$-semigroup and the Banach fixed point theorem.
Classification :
34G20, 47D03, 47H10, 47H20
Keywords: semigroup, mild and classical solution, Banach fixed point theorem
Keywords: semigroup, mild and classical solution, Banach fixed point theorem
@article{EJDE_2009__2009__a93,
author = {Balachandran, Krishnan and Samuel, Francis Paul},
title = {Existence of solutions for quasilinear delay integrodifferential equations with nonlocal conditions},
journal = {Electronic journal of differential equations},
year = {2009},
volume = {2009},
zbl = {1173.34353},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a93/}
}
TY - JOUR AU - Balachandran, Krishnan AU - Samuel, Francis Paul TI - Existence of solutions for quasilinear delay integrodifferential equations with nonlocal conditions JO - Electronic journal of differential equations PY - 2009 VL - 2009 UR - http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a93/ LA - en ID - EJDE_2009__2009__a93 ER -
%0 Journal Article %A Balachandran, Krishnan %A Samuel, Francis Paul %T Existence of solutions for quasilinear delay integrodifferential equations with nonlocal conditions %J Electronic journal of differential equations %D 2009 %V 2009 %U http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a93/ %G en %F EJDE_2009__2009__a93
Balachandran, Krishnan; Samuel, Francis Paul. Existence of solutions for quasilinear delay integrodifferential equations with nonlocal conditions. Electronic journal of differential equations, Tome 2009 (2009). http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a93/