Method of averaging for the system of functional-differential inclusions
Teresa Janiak ; Elżbieta Łuczak-Kumorek
Discussiones Mathematicae, Differential Inclusions, Control and Optimization, Tome 16 (1996), p. 137-151 / Harvested from The Polish Digital Mathematics Library
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The basic idea of this paper is to give the existence theorem and the method of averaging for the system of functional-differential inclusions of the form ⎧ẋ(t)∈F(t,xt,yt) (0) ⎨ ⎩ẋ(t)∈G(t,xt,yt) (1)

Publié le : 1996-01-01
EUDML-ID : urn:eudml:doc:275882 
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     journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},
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     year = {1996},
     pages = {137-151},
     zbl = {0910.34058},
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Teresa Janiak; Elżbieta Łuczak-Kumorek. Method of averaging for the system of functional-differential inclusions. Discussiones Mathematicae, Differential Inclusions, Control and Optimization, Tome 16 (1996) pp. 137-151. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-div16i2n3bwm/

[000] [1] N.N. Bogolubov, On some statistical methods in mathematical physics, Izv. Acad. Nauk USSR, Lwow 1945.

[001] [2] M. Dawidowski, On some generalizations of Bogolubov averaging theorem, Funct. et Approx. 7 (1979), 55-70. | Zbl 0422.34013

[002] [3] A.F. Filippov, Classical solutions of differential equations with multivalued right-hand side, SIAM, J. Control 5 (1967), 609-621.

[003] [4] M.M. Hapajev, O.P. Fiatov, O principie usrednijanija dla sistiem s bystrymi i miedljennymi opriemiennymi, Diff. Uravn. 19 (9) (1983), 1640-1643.

[004] [5] T. Janiak, E. Łuczak-Kumorek, The theorem of middling for functional-differential equations neutral type, Discuss. Math. 11 (1991) 63-73. | Zbl 0754.34040

[005] [6] T. Janiak E. Łuczak-Kumorek, A theorem on partial middling for functional-differential equations of the neutral type, Review of research, Faculty of Science, Univ. of Novi Sad, Math. Series 16 (2) (1986). | Zbl 0651.34065

[006] [7] T. Janiak, E. uczak-Kumorek, Method of averaging for integral-differential inclusions, Studia Univ. Babes Bolyai, Math. 39 (2) 1994.

[007] [8] S.S. Klimczuk, Averaging of differential inclusions with unbounded right-hand side, Ukr. Math. Zhurnal 3 (1989), 389-391 (Russian).

[008] [9] W.A. Plotnikov, The averaging method for differential inclusions and his application in control theory, Diff. Uravn. 15 (8) (1979), 1427-1433 (Russian).

[009] [10] W.A. Plotnikov, L. Mussa, Obosnowanie adnoj schemy czasticznowo usrednienia dla sistem z midliennymi i bystrymi pieriemiennymi, Diff. Uravn. 28 (4) (1992), 428-432.