Some averaging results for ordinary differential inclusions

• Autorzy: Amel Bourada , Rahma Guen , Mustapha Lakrib , Karim Yadi
• Języki publikacji: EN

Abstrakty

EN

We consider ordinary differential inclusions and we state and discuss some averaging results for these inclusions. Our results are proved under weaker conditions than the results in the literature.

Słowa kluczowe

EN

ordinary differential inclusions; averaging method

Kategorie tematyczne

• 34C29: Averaging method
• 34A60: Differential inclusions

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae, Differential Inclusions, Control and Optimization
• Rocznik: 2015
• Tom: 35
• Numer: 1
• Strony: 47-63

Daty

wydano

2015

otrzymano

2014-12-19

Twórcy

autor

Amel Bourada

• Laboratory of Mathematics, Djillali Liabés University, B.O. 89, 22000 Sidi Bel Abbés, Algeria

autor

Rahma Guen

• Laboratory of Mathematics, Djillali Liabés University, B.O. 89, 22000 Sidi Bel Abbés, Algeria

autor

Mustapha Lakrib

• Laboratory of Mathematics, Djillali Liabés University, B.O. 89, 22000 Sidi Bel Abbés, Algeria

autor

Karim Yadi

• Laboratoiry of Dynamical Systems, Aboubekr Belkaid University, B.O. 119, 13000 Tlemcen, Algeria

Bibliografia

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• [2] K. Deimling, Multivalued Differential Equations (Walter de Gruyter, Berlin, 1992). doi: 10.1515/9783110874228
• [3] G. Grammel, Averaging of multivalued differential equations, Int. J. Math. Math. Sci. 25 (2003), 1615-1622. doi: 10.1155/S016117120300680X
• [4] S. Hu and N.S. Papageorgiou, Handbook of Multivalued Analysis, Volume I: Theory, Kluwer Academic Publishers (Dordrecht-Boston-London, 1997).
• [5] T. Janiak and E. Łuczak-Kumorek, Method of averaging for the system of functional-differential inclusions, Discuss. Math. 16 (1996), 137-151.
• [6] T. Janiak and E. Łuczak-Kumorek, Averaging of neutral inclusions when the average value of the right-hand side does not exist, Acta Math. Viet. 25 (2000), 1-11.
• [7] S. Klymchuk, A. Plotnikov and N. Skripnik, Overview of V.A. Plotnikov's research on averaging of differential inclusions, Physica D: Nonlinear Phenomena 241 (2012), 1932-1947. doi: 10.1016/j.physd.2011.05.004
• [8] N.A. Perestyuk, V.A. Plotnikov, A.M. Samoilenko and N.V. Skripnik, Differential equations with impulse effects: multivalued right-hand sides with discontinuities, (De Gruyter Studies in Mathematics: 40). Berlin/Boston: Walter De Gruyter GmbH&Co., 2011.
• [9] N.V. Plotnikova, The Krasnosel'skii-Krein theorem for differential inclusions, Differ. Eq. 41 (2005), 1049-1053. doi: 10.1007/s10625-005-0248-5
• [10] G.V. Smirnov, Introduction to the Theory of Differential Inclusions, Graduate Studies in Math. 41, AMS, Providence, 2002.

Identyfikatory

DOI

10.7151/dmdico.1169