O 19. a 20. Hilbertově problému
O jednom důkazu principu duality v lineárním programování
O jisté úloze z variačního počtu
O jistém zobecnění Picard-Lindelöfovy metody postupných aproximací řešení diferenciální rovnice
Objective function design for robust optimality of linear control under state-constraints and uncertainty
We consider a model for the control of a linear network flow system with unknown but bounded demand and polytopic bounds on controlled flows. We are interested in the problem of finding a suitable objective function that makes robust optimal the policy represented by the so-called linear saturated feedback control. We regard the problem as a suitable differential game with switching cost and study it in the framework of the viscosity solutions theory for Bellman and Isaacs equations.
Objective function design for robust optimality of linear control under state-constraints and uncertainty
We consider a model for the control of a linear network flow system with unknown but bounded demand and polytopic bounds on controlled flows. We are interested in the problem of finding a suitable objective function that makes robust optimal the policy represented by the so-called linear saturated feedback control. We regard the problem as a suitable differential game with switching cost and study it in the framework of the viscosity solutions theory for Bellman and Isaacs equations.
Observations sur deux points du calcul des variations
Of the structure of the Euler mapping
Omogeneizzazione di funzionali debolmente quasi periodici
Sia quasiconvessa in , quasiperiodica in nel senso di Besicovitch e soddisfi le disuguaglianze: Allora può essere omogeneizzata: esiste una funzione che dipende solo da tale che i funzionali convergono, per tendente a (nel senso della -convergenza) a Inoltre si può dare una formula asintotica per .
On a Bernoulli problem with geometric constraints
A Bernoulli free boundary problem with geometrical constraints is studied. The domain Ω is constrained to lie in the half space determined by x1 ≥ 0 and its boundary to contain a segment of the hyperplane {x1 = 0} where non-homogeneous Dirichlet conditions are imposed. We are then looking for the solution of a partial differential equation satisfying a Dirichlet and a Neumann boundary condition simultaneously on the free boundary. The existence and uniqueness of a solution have already been addressed...
On a Bernoulli problem with geometric constraints
A Bernoulli free boundary problem with geometrical constraints is studied. The domain Ω is constrained to lie in the half space determined by x1 ≥ 0 and its boundary to contain a segment of the hyperplane {x1 = 0} where non-homogeneous Dirichlet conditions are imposed. We are then looking for the solution of a partial differential equation satisfying a Dirichlet and a Neumann boundary condition simultaneously on the free boundary. The existence and uniqueness of a solution have already been addressed...
On a boundary value problem in nonlinear theory of thin elastic plates
On a certain type of discrete two-point boundary problem arising in discrete optimal control
On a Class of Elliptic Equations for the N-Laplacian in R^n with One-Sided Exponential Growth
2000 Mathematics Subject Classification: 35J40, 49J52, 49J40, 46E30By means of a suitable nonsmooth critical point theory for lower semicontinuous functionals we prove the existence of infinitely many solutions for a class of quasilinear Dirichlet problems with symmetric non-linearities having a one-sided growth condition of exponential type.The research of the authors was partially supported by the MIUR project “Variational and topological methods in the study of nonlinear phenomena” (COFIN 2001)....
On a class of forward-backward stochastic differential systems in infinite dimensions.
On a class of multivalued variational inequalities.
On a class of nonlocal nonlinear elliptic problems
On a Class of Strongly Nonlinear Elliptic Varionational Inequalities.
On a class of variational integrals over BV varieties
We present here our most recent results ([1def]) about the definition of non-linear Weiertrass-type integrals over BV varieties, possibly discontinuous and not necessarily Sobolev's.
On a class of variational problems defined by polynomial Lagrangians