Autonomous differential inclusion sharing the families of trajectories

• Autorzy: Leśniewski, A. , Rzeżuchowski, T.
• Języki publikacji: EN

Abstrakty

EN

We give a sufficient condition for equality of sets of trajectories of two differential inclusions with right-hand sides Borel measurable with respect to the state variable, not necessarily bounded and possibly containing the origin.

Słowa kluczowe

PL

inkluzje różniczkowe; mierzalność Borela; trajektorie

EN

differential inclusions; Borel measurability; trajectories

• Czasopismo: Demonstratio Mathematica
• Rocznik: 2006
• Tom: Vol. 39, nr 2
• Strony: 347-356
• Opis fizyczny: Bibliogr. 4 poz.

Twórcy

autor

Leśniewski, A.

autor

Rzeżuchowski, T.

• Faculty of Mathematics and Information Science Warsaw University of Technology, Pl. Politechniki 1, 00-661 Warsaw, Poland,

Bibliografia

• [1] J.-P. Aubin, H. Frankowska, Set-Valued Analysis, Birkhauser, Boston, 1990.
• [2] C. Castaing, M. Valadier, Convex Analysis and Measurable Multifunctions, Lecture Notes in Mathematics, Springer-Verlag, Berlin - Heidelberg - New York, 1977.
• [3] A. F. Filippov, Differential Equations with Discontinuous Right Hand Side, Nauka, Moscow, 1985 (in Russian).
• [4] G. N. Silva, R. B. Vinter, Measure driven differential inclusions, J. Math. Analysis and Appl., vol. 202 (1996), 727-746.