Geodesic
On some topological methods in theory of neutral type operator differential inclusions with applications to control systems
Discussiones Mathematicae. Differential Inclusions, Control and Optimization, Tome 33 (2013) no. 2, pp. 193-204.

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We consider a neutral type operator differential inclusion and apply the topological degree theory for condensing multivalued maps to justify the question of existence of its periodic solution. By using the averaging method, we apply the abstract result to an inclusion with a small parameter. As example, we consider a delay control system with the distributed control.
Keywords: operator differential inclusion, neutral type, periodic solution, fixed point, multivalued map, condensing map, topological degree, averaging method, control system, distributed control 
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Kamenskii, Mikhail; Obukhovskii, Valeri; Yao, Jen-Chih. On some topological methods in theory of neutral type operator differential inclusions with applications to control systems. Discussiones Mathematicae. Differential Inclusions, Control and Optimization, Tome 33 (2013) no. 2, pp. 193-204. http://geodesic.mathdoc.fr/item/DMDICO_2013_33_2_a4/

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