Some basic theorems on difference-differential equations
Electronic journal of differential equations, Tome 2008 (2008)
In this paper some basic theorems on the existence, uniqueness and continuous dependence of solutions of a certain difference-differential equation are established. The well known Banach fixed point theorem and the Gronwall-Bellman integral inequality are used to establish these results.
Classification :
34K05, 34K10, 34K40
Keywords: difference-differential equations, Banach fixed point theorem, Gronwall-Bellman integral inequality, existence and uniqueness, continuous dependence
Keywords: difference-differential equations, Banach fixed point theorem, Gronwall-Bellman integral inequality, existence and uniqueness, continuous dependence
@article{EJDE_2008__2008__a21,
author = {Pachpatte, Baburao G.},
title = {Some basic theorems on difference-differential equations},
journal = {Electronic journal of differential equations},
year = {2008},
volume = {2008},
zbl = {1172.34041},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a21/}
}
Pachpatte, Baburao G. Some basic theorems on difference-differential equations. Electronic journal of differential equations, Tome 2008 (2008). http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a21/