Continuous Interpolation of Solutions of Lipschitz Inclusions

Journal of Mathematical Analysis and Applications

Volumn 258, Issue 2, 2001, Pages 565-572

  Broucke, Mireille ^a   Arapostathis, Ari ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

Continuous selections; Differential inclusions

Indexed keywords

EID: 0035877529     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.2000.7393     Document Type: Article

References (7)

1. Aubin J., Cellina A. Differential Inclusions: Set-Valued Maps and Viability Theory. 1984;Springer-Verlag, Berlin.
2. Bressan A. Selections of Lipschitz multifunctions generating a continuous flow. Differential Integral Equations. 4:1991;483-490.
3. Broucke M. Regularity of solutions and homotopic equivalence for hybrid systems. Proc. 37th IEEE CDC. 1988;. p. 4283-4288.
4. Cellina A. On the set of solutions to lipschitzian differential inclusions. Differential Integral Equations. 1:1988;495-500.
5. Deimling K. Multivalued Differential Equations. 1992;de Gruyter, Berlin.
6. Filippov A. F. Differential Equations with Discontinuous Righthand Sides. 1988;Kluwer Academic, Boston.
7. Cellina A., Ornelas A. Representation of the attainable set for lipschitzian differential inclusions. Rocky Mountain J. Math. 22:1992;117-124.