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Variational Ultraparabolic Inequalities
Ukrainian Mathematical Journal, 2004In a bounded domain of the space ℝn +2, we consider variational ultraparabolic inequalities with initial condition. We establish conditions for the existence and uniqueness of a solution of this problem. As a special case, we establish the solvability of mixed problems for some classes of nonlinear ultraparabolic equations with nonclassical and ...
S. P. Lavrenyuk, Protsakh, N.
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On Generalized Variational Inequalities
2007In this paper we illustrate the connections between generalized variational inequalities (GVI) and other mathematical models: optimization, complementarity, inclusions, dynamical systems. In particular, we analyse relationships between existence theorems of solutions of GVI and existence theorems of equilibrium points of inclusions and projected ...
PAPPALARDO, MASSIMO, PANICUCCI B.
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Parameterized variational inequalities
Journal of Global Optimization, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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VARIATIONAL INEQUALITIES IN COURNOT OLIGOPOLY
International Game Theory Review, 2007Consider G = (X1,…,XM,g1,…,gM) an M-player game in strategic form, where the set Xi is an interval of real numbers and the payoff functions gi are differentiable with respect to the related variable xi ∈ Xi. If they are also concave, with respect to the related variable, then it is possible to associate to the game G a variational inequality which ...
C. A. PENSAVALLE, G. PIERI
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On Continuation for Variational Inequalities
SIAM Journal on Numerical Analysis, 1987While many continuation methods for the numerical solution of nonlinear eigenvalue problems for ordinary and partial differential equations have been proposed and successfully applied, little has been done so far for variational inequalities. On the basis of recent analytical results and previous work of the author, a predictor–corrector combination is
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Identification in Variational and Quasi-Variational Inequalities
Journal of Convex Analysis, 2018Our objective is to investigate the inverse problem of identifying variable parameters in certain variational and quasi-variational inequalities. To this end we extend a trilinear form based optimization framework that has been used quite effectively for parameter identification in variational equations emerging from partial differential equations.
Gwinner, Joachim +3 more
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On Some Noncoercive Variational Inequalities
Ukrainian Mathematical Journal, 2001The authors study existence and regularity of solutions of two variational inequalities. The first one has the form: \[ \sum_{k=1}^{2}\sum_{i,j=1}^{n}\int_{\Omega_k}a_{ij}^k(u_k)'_{x_i} (v_k-u_k)'_{x_j}+\int_{\Omega_1}au_1(v_1-u_1) dx\geq \sum_{k=1}^{k}\langle f_k,v_k-u_k\rangle_k \quad \forall(v_1,v_2)\in K. \] Here \(\Omega_1,\Omega_2\) are such open
A. GALLO +2 more
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Solving Fuzzy Variational Inequalities
Fuzzy Optimization and Decision Making, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shu-Cherng Fang, Cheng-Feng Hu
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On Quasimonotone Variational Inequalities
Journal of Optimization Theory and Applications, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Convergences for variational inequalities and generalized variational inequalities
1997Summary: Let \(E\) be a topological vector space and consider, for any \(n\in\mathbb{N}\), the variational inequality: find \(u\in E\) such that \(f_n(u,w)+ \phi_n(u)\leq\phi_n(w)\) for any \(w\in E\), where \(f_n: E\to\mathbb{R}\) and \(\phi_n: E\to\mathbb{R}\cup\{+\infty\}\).
LIGNOLA, MARIA BEATRICE +1 more
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