Displaying similar documents to “On the existence of the price equilibrium by different methods”

Theoretical analysis of discrete contact problems with Coulomb friction

Tomáš Ligurský (2012)

Applications of Mathematics

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A discrete model of the two-dimensional Signorini problem with Coulomb friction and a coefficient of friction ℱ depending on the spatial variable is analysed. It is shown that a solution exists for any ℱ and is globally unique if ℱ is sufficiently small. The Lipschitz continuity of this unique solution as a function of ℱ as well as a function of the load vector f is obtained. Furthermore, local uniqueness of solutions for arbitrary ℱ > 0 is studied. The question of existence of locally Lipschitz-continuous...

On a regularization method for variational inequalities with P_0 mappings

Igor Konnov, Elena Mazurkevich, Mohamed Ali (2005)

International Journal of Applied Mathematics and Computer Science

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We consider partial Browder-Tikhonov regularization techniques for variational inequality problems with P_0 cost mappings and box-constrained feasible sets. We present classes of economic equilibrium problems which satisfy such assumptions and propose a regularization method for these problems.

General conditions guaranteeing the solvability of the Cauchy problem for functional differential equations

N. Dilna, A. Rontó (2008)

Mathematica Bohemica

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New general unique solvability conditions of the Cauchy problem for systems of general linear functional differential equations are established. The class of equations considered covers, in particular, linear equations with transformed argument, integro-differential equations, neutral type equations and their systems of an arbitrary order.