Geodesic
Existence of solutions for discontinuous hyperbolic partial differential equations in Banach algebras
Electronic journal of differential equations, Tome 2006 (2006)
In this paper, we prove an existence theorem for hyperbolic differential equations in Banach algebras under Lipschitz and Caratheodory conditions. The existence of extremal solutions is also proved under certain monotonicity conditions.
Classification : 35L70, 35L15
Keywords: hyperbolic differential equation, Banach algebras 
@article{EJDE_2006__2006__a185,
     author = {Dhage,  Bapurao C. and Ntouyas,  Sotiris K.},
     title = {Existence of solutions for discontinuous hyperbolic partial differential equations in {Banach} algebras},
     journal = {Electronic journal of differential equations},
     year = {2006},
     volume = {2006},
     zbl = {1085.35106},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a185/}
}
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Dhage,  Bapurao C.; Ntouyas,  Sotiris K. Existence of solutions for discontinuous hyperbolic partial differential equations in Banach algebras. Electronic journal of differential equations, Tome 2006 (2006). http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a185/