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WANG Ai-feng, WANG Xun-yang, NI Ming-kang. onditionally Stable Dirichlet Problem for Nonlinear Singulary Perturbed Systems(Chinese)[J]. Journal of East China Normal University (Natural Sciences), 2007, (5): 39-46.
Citation:
WANG Ai-feng, WANG Xun-yang, NI Ming-kang. onditionally Stable Dirichlet Problem for Nonlinear Singulary Perturbed Systems(Chinese)[J]. Journal of East China Normal University (Natural Sciences), 2007, (5): 39-46.
WANG Ai-feng, WANG Xun-yang, NI Ming-kang. onditionally Stable Dirichlet Problem for Nonlinear Singulary Perturbed Systems(Chinese)[J]. Journal of East China Normal University (Natural Sciences), 2007, (5): 39-46.
Citation:
WANG Ai-feng, WANG Xun-yang, NI Ming-kang. onditionally Stable Dirichlet Problem for Nonlinear Singulary Perturbed Systems(Chinese)[J]. Journal of East China Normal University (Natural Sciences), 2007, (5): 39-46.
Department of Mathematics, Huaiyin Teachers College, Huaian Jiangsu 223001, China;
2.
Department of Mathematics, East China Normal University, Shanghai} 200062, China};} 3. Department of Mathematics, Lanzhou University of Technology, Lanzhou 730050, China
Using the boundary function method, this paper studied a conditionally stable Dirichlet problem for a kind of nonlinear perturbed systems.The asymptotic solution of the problem was given and proved to be uniformly effective. And the existence and uniqueness of the solution for the systems were proved.