Boundary Value Problem for a Kind of Third Order Nonlinear Singularly Perturbed Differential Equations
Lihua Chen
Abstract
Lihua Chen
Abstract
Studied the boundary value problem for a kind of third order nonlinear singularly perturbed differential equations.The existence and uniqueness of the solutions are proved by the method of boundary layer functions under suitable conditions and the uniformly valid asymptotic solutions are given out.
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Studied the boundary value problem for a kind of third order nonlinear singularly perturbed differential equations.The existence and uniqueness of the solutions are proved by the method of boundary layer functions under suitable conditions and the uniformly valid asymptotic solutions are given out.
Key concepts: Method of matched asymptotic expansions, Mathematics, Boundary value problem, Uniqueness, Mathematical analysis, Nonlinear system, Singular perturbation, Differential equation