Displaying similar documents to “Natural operators lifting vector fields to bundles of Weil contact elements”

Two notes on eventually differentiable families of operators

Tomáš Bárta (2010)

Commentationes Mathematicae Universitatis Carolinae

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In the first note we show for a strongly continuous family of operators ( T ( t ) ) t ≥ 0 that if every orbit t ↦ T ( t ) x is differentiable for t > t x , then all orbits are differentiable for t > t 0 with t 0 independent of x . In the second note we give an example of an eventually differentiable semigroup which is not differentiable on the same interval in the operator norm topology.

The monotone iterative technique for periodic boundary value problems of second order impulsive differential equations

Eduardo Liz, Juan J. Nieto (1993)

Commentationes Mathematicae Universitatis Carolinae

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In this paper, we develop monotone iterative technique to obtain the extremal solutions of a second order periodic boundary value problem (PBVP) with impulsive effects. We present a maximum principle for ``impulsive functions'' and then we use it to develop the monotone iterative method. Finally, we consider the monotone iterates as orbits of a (discrete) dynamical system.

Time domain decomposition in final value optimal control of the Maxwell system

John E. Lagnese, G. Leugering (2002)

ESAIM: Control, Optimisation and Calculus of Variations

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We consider a boundary optimal control problem for the Maxwell system with a final value cost criterion. We introduce a time domain decomposition procedure for the corresponding optimality system which leads to a sequence of uncoupled optimality systems of local-in-time optimal control problems. In the limit full recovery of the coupling conditions is achieved, and, hence, the local solutions and controls converge to the global ones. The process is inherently parallel and is suitable...