Results 21 to 30 of about 140 (77)
Local cone approximations in mathematical programming [PDF]
We show how to use intensively local cone approximations to obtain results in some fields of optimization theory as optimality conditions, constraint qualifications, mean value theorems and error ...
CASTELLANI, MARCO +3 more
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The Variational Calculus on Time Scales [PDF]
The discrete, the quantum, and the continuous calculus of variations, have been recently unified and extended by using the theory of time scales. Such unification and extension is, however, not unique, and two approaches are followed in the literature ...
Delfim F.M. Torrest, Malinowska
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Jiménez, Bienvenido +2 more
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Contingent Isaacs Equations of a Differential Game [PDF]
The purpose of this paper is to characterize classical and lower semicontinuous solutions to the Hamilton-Jacobi-Isaacs partial differential equations associated with a differential game and, in particular, characterize closed subsets the indicators of ...
Aubin, J.-P.
core
A general delta-nabla calculus of variations on time scales with application to economics [PDF]
We consider a general problem of the calculus of variations on time scales with a cost functional that is the composition of a certain scalar function with delta and nabla integrals of a vector valued field.
Dryl, M., Torres, D. F. M.
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Hazy Differential Inclusions [PDF]
This paper is devoted to differential inclusions the right-hand sides of which are hazy subsets, which are fuzzy subsets whose membership functions are cost functions taking their values in [0,infinity] instead of [0,1].
Aubin, J.-P.
core
Victory and Defeat in Differential Games [PDF]
The author constructs the set-valued feedback map which allow players in a differential game the possibility of winning, separately or collectively, or the certainty of winning or loosing and characterizes the indicator functions of their graphs as ...
Aubin, J.-P.
core
Smallest Lyapunov Functions of Differential Inclusions [PDF]
This paper provides a first answer to the question: does there exist a smallest Lyapunov function of a differential inclusion larger than a given function.
Aubin, J.-P.
core
Set-Valued Analysis, Viability Theory and Partial Differential Inclusions [PDF]
Systems of first-order partial differential inclusions -- solutions of which are feedbacks governing viable trajectories of control systems -- are derived.
Aubin, J.-P., Frankowska, H.
core
Viability Tubes and the Target Problem [PDF]
Viability tubes and invariant tubes of a differential inclusion are defined and then used to build "bridges" between an initial set K and a "target" C that at least one trajectory (respectively all trajectories) follows for leaving K and reaching C in ...
Aubin, J.-P.
core

