Geodesic
Boundary value problems for functional-differential inclusions with the multivalued impulses
Vestnik rossijskih universitetov. Matematika, Tome 22 (2017) no. 3, pp. 585-590

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The boundary value problems for a functional-differential inclusion generated by a multivalued map not necessarily convex-valued with respect to switching in the space of summable functions and with multi-valued impulses are considered. Concept of a generalized solution of such a problem is introduced. Existence conditions for a generalized solution of the boundary value problem are found. The effective estimates of generalized solutions are derived.
Keywords: functional-differential inclusion, boundary value problems, multi-valued impulses, convexity with respect to switching. 
@article{VTAMU_2017_22_3_a11,
     author = {O. V. Filippova and A. A. Grigorenko},
     title = {Boundary value problems for functional-differential inclusions with the multivalued impulses},
     journal = {Vestnik rossijskih universitetov. Matematika},
     pages = {585--590},
     publisher = {mathdoc},
     volume = {22},
     number = {3},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTAMU_2017_22_3_a11/}
}
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O. V. Filippova; A. A. Grigorenko. Boundary value problems for functional-differential inclusions with the multivalued impulses. Vestnik rossijskih universitetov. Matematika, Tome 22 (2017) no. 3, pp. 585-590. http://geodesic.mathdoc.fr/item/VTAMU_2017_22_3_a11/