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
@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/}
}
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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/