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A second-order differential equation method for equilibrium programming with constraints

In this paper, we establish a second-order differential equation system with controlled process for solving the equilibrium programming with constraints based on Lagrange function and projection operator. It is proved that the accumulation points of the trajectories of this kind of second-order differential equation system is the solution to the equilibrium programming with constraints. Moreover, the numerical experiments are reported to show that the second-order differential equation method for solving the equilibrium programming with constraints is effective.