Results 191 to 200 of about 9,586,445 (221)

Lower semicontinuous Lyapunov functions and subdifferential calculus

Proceedings of the 41st IEEE Conference on Decision and Control, 2002., 2003
We show that lower semicontinuous Lyapunov functions can be used to determine both stable and attractive sets of differential equations with a short proof similar to that of the original Lyapunov indirect method. Several examples illustrate the flexibility of using such lower semicontinuous Lyapunov functions.
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Lower Semicontinuity Conditions for Functionals on Jumps and Creases

SIAM Journal on Mathematical Analysis, 1995
Summary: A class of functionals of the form \[ {\mathcal F} (u) = \int_I \bigl |u''(t) \bigr |^2dt + \int_I |u - g |^2 dt + \sum_{t \in S} \varphi \bigl( t,u(t_-), u(t_+),\;u'(t_-),\;u'(t_+) \bigr), \] defined on piecewise \(H^2\) functions is studied, where \(S\) is the union of the set of points of discontinuity for \(u\) and the set of points of ...
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Conjugacies adapted to lower semicontinuous functions

Optimization, 2013
AbstractWe revisit a remarkable duality devoted to lower semicontinuous functions. We compare its definition in terms of a coupling with its definition in terms of linear-like (or elementary) functions. We consider several variants. Then, we deal with the passage from smoothness to rotundity and the reverse passage and we examine the transfer of ...
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Generalized convexities of lower semicontinuous functions

Optimization, 1985
In this paper a general theorem on the replacement of the condition “for all λ” in the definition of generalized convexity properties of lower semicontinuous functions by the condition “there exists a λ” is shown. This result can be applied to a number of special kinds of convexity and completes, for instance, studies of Behbikgeb concerning ...
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Lower Semicontinuous Functionals

2005
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Lower Semicontinuous and Convex Functions

2020
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Separating sets by upper semicontinuous quasi-continuous functions

Quaestiones Mathematicae, 2015
Paulina Szczuka
exaly  

Generalizations and cartesian closed subcategories of semicontinuous lattices

Acta Mathematica Scientia, 2009
Qingguo li
exaly  

Lower semicontinuity of integral functionals

2017
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Maximums of upper semicontinuous strong Świątkowski functions

Demonstratio Mathematica, 2011
Paulina Szczuka
exaly