1,721,041 research outputs found
An Emission Pollution Permit System for Time-Dependent Transportation Networks Based on Origin-Destination Pairs
No full textIn the paper an emission pollution permit system for a dynamic traffic equilibrium model based on origin/destination pairs is presented. The time-dependent equilibrium conditions are expressed by an evolutionary variational inequality. Thanks to the variational formulation, existence and continuity results for equilibrium distributions are established
Existence results for a class of quasi-variational inequalities and applications to a noncooperative model
No full textThe aim of the paper is to investigate the existence of solutions for the class of strongly pseudomonotone quasi-variational inequalities. The weak Mosco continuity of multifunctions has a key role to reach this aim. As an application, the existence of equilibrium distributions for a dynamic oligopolistic market equilibrium problem with adaptive set of feasible solutions is obtained
The Cauchy–Neumann and Cauchy–Robin problems for a class of hyperbolic operators with double characteristics in presence of transition
No full textThe mixed Cauchy–Neumann and Cauchy–Robin problems for a class of hyperbolic operators with double characteristics in presence of transition is investigated. Some a priori estimates in Sobolev spaces with negative indexes are proved. Subsequently, existence and uniqueness results for the mixed problems are obtained
Existence results for the mixed Cauchy–Dirichlet problem for a class of hyperbolic operators
No full textThe paper concerns the study of the Cauchy–Dirichlet problem for a class of hyperbolic second-order operators with double characteristics in presence of transition in a domain of R3. Firstly, we establish some a priori local and global estimates. Then, we obtain some existence results
A priori estimates in Sobolev spaces for a class of hyperbolic operators in presence of transition
No full textWe establish several a priori estimates of local or global nature in Sobolev spaces with general exponent s <= 0 for a class of second-order hyperbolic operators with double characteristics in presence of a transition in a domain of the Euclidian space R^3
On the Cauchy problem for a class of hyperbolic operators with triple characteristics
No full textThe Cauchy problem for a class of hyperbolic operators with triple characteristics is analyzed. Some a priori estimates in Sobolev spaces with negative indexes are proved. Subsequently, an existence result for the Cauchy problem is obtained
Evolutionary variational inequality with long-term memory and applications to economic networks
No full textThe aim of this paper is to present the relation between an evolutionary variational inequality with long-term memory and Lagrange multipliers. More precisely, we study the oligopolistic market equilibrium problem in which the profit function depends also on previous events of the market by means of a long-term memory which takes into account the previous states of the equilibrium. Moreover, thanks to the variational formulation, we are able to show existence and regularity results for equilibrium solutions. Then, we apply the infinite dimensional duality theory through which we obtain the existence of Lagrange multipliers which are great utility in order to understand the behaviour of the market. Finally, an example is provided, which allows to analyse the influence of the long-term memory on the equilibrium solution
Infinite dimensional tensor variational inequalities with applications to an economic equilibrium problem
Full text linkIn this paper, we present a general oligopolistic market equilibrium model in which each firm produces several commodities in a time interval. To this aim, we introduce tensor variational inequalities in Hilbert spaces which are a powerful tool to analyse the model. Indeed we characterize the equilibrium condition by means of a suitable time-dependent tensor variational inequality. In addition, we prove some existence and regularity results and a numerical scheme to compute the solution. Finally we provide a numerical example
Inverse Tensor Variational Inequalities and Applications
Full text linkThe paper aims to introduce inverse tensor variational inequalities and analyze their application to an economic control equilibrium model. More precisely, some existence and uniqueness results are established and the well-posedness analysis is investigated. Moreover, the Tikhonov regularization method is extended to tensor inverse problems to study them when they are ill-posed. Lastly, the policymaker's point of view for the oligopolistic market equilibrium problem is introduced. The equivalence between the equilibrium conditions and a suitable inverse tensor variational inequality is established
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