AN EXISTENCE RESULT FOR VIBRATIONS WITH UNILATERAL CONSTRAINTS
2000 ◽
Vol 10
(06)
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pp. 815-831
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Keyword(s):
We are motivated by the study of dynamical systems with a finite number of degrees of freedom, subject to unilateral convex constraints without loss of energy at impacts. If we denote the set of constraints by K, the motion is described by [Formula: see text], where ψK is the indicatrix function of K. More generally we consider dynamical systems with a convex potential described by [Formula: see text], where φ is a proper, convex, lower semicontinuous function. We prove that these systems possess a solution whose kinetic energy is conserved through impact in the first case, or more generally, whose energy [Formula: see text] is a continuous function of time in the second case.
1994 ◽
Vol 50
(3)
◽
pp. 481-499
1993 ◽
Vol 47
(3)
◽
pp. 465-471
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2000 ◽
Vol 130
(4)
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pp. 721-741
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1993 ◽
Vol 36
(1)
◽
pp. 116-122
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1999 ◽
Vol 60
(1)
◽
pp. 109-118
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