N. B. Minh

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We consider the problem of determining a pair of functions (u, f) satisfying the two-dimensional backward heat equation u t − ∆u = φ(t)f (x, y), t ∈ (0, T), (x, y) ∈ (0, 1) × (0, 1), u(x, y, T) = g(x, y) with a homogeneous Cauchy boundary condition, where φ and g are given approximately. The problem is severely ill-posed. Using an interpolation method and(More)
The quasi-equilibrium problems with constraints are formulated and some sufficient conditions on the existence of their solutions are shown. As special cases, we obtain several results on the existence of solutions of different vector quasivariational inequality and vector optimization problems. An application of the obtained results is given to show the(More)
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