Geodesic
Existence and uniqueness of solutions of nonlinear mixed integrodifferential equations with nonlocal condition in Banach spaces
Electronic Journal of Differential Equations, Tome 2011 (2011).

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

Summary: In this article, we study the existence and uniqueness of mild and strong solutions of a nonlinear mixed Volterra-Fredholm integrodifferential equation with nonlocal condition in Banach spaces. Furthermore, we study continuous dependence of mild solutions. Our analysis is based on semigroup theory and Banach fixed point theorem.
Classification : 45N05, 47B38, 47H10
Keywords: existence and uniqueness, mild and strong solutions, mixed Volterra-Fredholm, integrodifferential equation, Banach fixed point theorem, nonlocal condition 
@article{EJDE_2011__2011__a33,
     author = {Dhakne, Machindra B. and Tidke, Haribhau L.},
     title = {Existence and uniqueness of solutions of nonlinear mixed integrodifferential equations with nonlocal condition in {Banach} spaces},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2011},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a33/}
}
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Dhakne, Machindra B.; Tidke, Haribhau L. Existence and uniqueness of solutions of nonlinear mixed integrodifferential equations with nonlocal condition in Banach spaces. Electronic Journal of Differential Equations, Tome 2011 (2011). http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a33/