Geodesic
Perturbation of Volterra inclusions by impulse operator
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 39 (2012) no. 1, pp. 17-20

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For Volterra inclusions with impulsive perturbations there are considered the problems of local solvability and extendability of solutions. It is proved that the right end-point of the interval on which all the solutions exist depends lower semi-continuously on the parameters. It is also shown that, if the inclusion is a-priori bounded for some parameter value, then this value can not be an isolated point, in the sense of a-priori boundedness, moreover the solutions sets (viewed as those depending on a parameter) are Hausdorff upper semicontinuous at this point.
Keywords: Volterra inclusions with impulse operator, extendability of solutions. 
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     author = {A. I. Bulgakov and A. A. Grigorenko and E. A. Panasenko},
     title = {Perturbation of {Volterra} inclusions by impulse operator},
     journal = {Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta},
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     number = {1},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IIMI_2012_39_1_a7/}
}
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A. I. Bulgakov; A. A. Grigorenko; E. A. Panasenko. Perturbation of Volterra inclusions by impulse operator. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 39 (2012) no. 1, pp. 17-20. http://geodesic.mathdoc.fr/item/IIMI_2012_39_1_a7/