Infinite frequency solutions to discontinuous control systems with variable delay

Israel Journal of Mathematics

Volumn 106, Issue , 1998, Pages 165-176

  Dix, Julio G ^a  

^a TEXAS STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032417119     PISSN: 00212172     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02773466     Document Type: Article

References (8)

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3. J. K. Hale and S. M. Verduyn Lunel, Introduction to Functional Differential Equations, Springer-Verlag, New York, 1993.
4. E. Schmitt, Über eine Klasse linearer funktionaler Differentialgleichungen, Mathematische Annalen 70 (1911), 499-524.
5. E. Shustin, Super-high-frequency oscillations in a discontinuous dynamic system with time delay, Israel Journal of Mathematics 90 (1995), 199-219.
6. E. I. Shustin, E. M. Fridman and L. M. Fridman, Oscillations in discontinuous delay systems of the first order: Existence, stability, bifurcations, personal communication.
7. Vadim I. Utkin, Sliding Modes in Control and Optimization, Springer-Verlag, Berlin, 1992.
8. H.-O. Walther, Density of slowly oscillating solutions of ẋ(t) = -f(x(t-1)), Journal of Mathematical Analysis and Applications 79 (1981), 127-140.