Geodesic
Perturbation of Volterra inclusions by impulse operator
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, no. 1 (2012), 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. 
A. I. Bulgakov; A. A. Grigorenko; E. A. Panasenko. Perturbation of Volterra inclusions by impulse operator. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, no. 1 (2012), pp. 17-20. http://geodesic.mathdoc.fr/item/IIMI_2012_1_a7/
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