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Volume 9, Number 1, 2019, Pages 105-117                                                                DOI:10.11948/2019.105
On the asymptotic solution to a type of piecewise-continuous second-order Dirichlet problems of Tikhonov system
Xutian Qi,Mingkang Ni
Keywords:Tikhonov System, theory of contrast structures, piecewise continuous.
      A Type of second-order Dirichlet problems of Tikhonov system with piecewise-continuous right hand side is studied. By using the multiscale theory and the theory of contrast structures, a first-order continuous, uniform and effective asymptotic solution of the problem is constructed. Existence of the solution is proved and the remainder is estimated. An illustrative example for explaining this method is also given.
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