Geodesic
Existence of solutions to Dirichlet impulsive differential equations through a local minimization principle
Electronic journal of differential equations, Tome 2014 (2014)
A critical point theorem (local minimum result) for differentiable functionals is used for proving that a Dirichlet impulsive differential equation admits at least one non-trivial solution. Some particular cases and a concrete example are also presented.
Classification : 34B37, 34B15, 58E05
Keywords: impulsive differential equations, Dirichlet condition, classical solution, variational methods 
@article{EJDE_2014__2014__a158,
     author = {Afrouzi,  Ghasem A. and Shokooh,  Saeid and Hadjian,  Armin},
     title = {Existence of solutions to {Dirichlet} impulsive differential equations through a local minimization principle},
     journal = {Electronic journal of differential equations},
     year = {2014},
     volume = {2014},
     zbl = {1300.34062},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a158/}
}
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Afrouzi,  Ghasem A.; Shokooh,  Saeid; Hadjian,  Armin. Existence of solutions to Dirichlet impulsive differential equations through a local minimization principle. Electronic journal of differential equations, Tome 2014 (2014). http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a158/