Geodesic
Existence of mild solutions for quasilinear integrodifferential equations with impulsive conditions
Electronic Journal of Differential Equations, Tome 2009 (2009).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We prove the existence and uniqueness of mild solutions of quasilinear integrodifferential equations with nonlocal and impulsive conditions in Banach spaces. The results are obtained by using a fixed point technique and semigroup theory. Examples are provided to illustrate the theory.
Classification : 34A37, 34G60, 34G20, 47H10
Keywords: semigroup, mild solution, impulsive conditions 
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     author = {Balachandran, Krishnan and Samuel, Francis Paul},
     title = {Existence of mild solutions for quasilinear integrodifferential equations with impulsive conditions},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2009},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a51/}
}
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Balachandran, Krishnan; Samuel, Francis Paul. Existence of mild solutions for quasilinear integrodifferential equations with impulsive conditions. Electronic Journal of Differential Equations, Tome 2009 (2009). http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a51/