Geodesic
On some boundary-value problems for functional-differential inclusions in Banach spaces
Contemporary Mathematics. Fundamental Directions, Proceedings of the Fourth International Conference on Differential and Functional-Differential Equations (Moscow, August 14–21, 2005). Part 1, Tome 15 (2006), pp. 36-44

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The general boundary-value problem for a semilinear functional-differential inclusion in a separable Banach space is considered. A many-valued integral operator whose fixed points are integral solutions to the problem is constructed. Conditions ensuring this many-valued operator to be condensing with respect to the vector measure of noncompactness are investigated. Application of topological degree theory allows one to establish some existence theorems for the boundary-value problem. The Cauchy problem and the periodic problem are considered as special cases. 
@article{CMFD_2006_15_a3,
     author = {M. M. Basova and V. V. Obukhovskii},
     title = {On some boundary-value problems for functional-differential inclusions in {Banach} spaces},
     journal = {Contemporary Mathematics. Fundamental Directions},
     pages = {36--44},
     publisher = {mathdoc},
     volume = {15},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMFD_2006_15_a3/}
}
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M. M. Basova; V. V. Obukhovskii. On some boundary-value problems for functional-differential inclusions in Banach spaces. Contemporary Mathematics. Fundamental Directions, Proceedings of the Fourth International Conference on Differential and Functional-Differential Equations (Moscow, August 14–21, 2005). Part 1, Tome 15 (2006), pp. 36-44. http://geodesic.mathdoc.fr/item/CMFD_2006_15_a3/