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2011•Journal of Anhui University of TechnologyRequires access

A Class of Quasi-linear Singularly Perturbed Boundary Value Problems with Discontinuous Function

Chen Song-lin

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Abstract

A class of quasi-linear singularly perturbed boundary value problems of differential systems with discontinuous are considered.With the method of boundary functions,the formal asymptotic expansions of the solution is constructed with piece-wise method.At the same time,the solution is continuous under some suitable conditions.The existence of the solution is proved and the uniformly efficiency of this asymptotic solution is obtained.

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A class of quasi-linear singularly perturbed boundary value problems of differential systems with discontinuous are considered.With the method of boundary functions,the formal asymptotic expansions of the solution is constructed with piece-wise method.At the same time,the solution is continuous under some suitable conditions.The existence of the solution is proved and the uniformly efficiency of this asymptotic solution is obtained.

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Available abstract

A class of quasi-linear singularly perturbed boundary value problems of differential systems with discontinuous are considered.With the method of boundary functions,the formal asymptotic expansions of the solution is constructed with piece-wise method.At the same time,the solution is continuous under some suitable conditions.The existence of the solution is proved and the uniformly efficiency of this asymptotic solution is obtained.

Key concepts: Method of matched asymptotic expansions, Mathematics, Boundary value problem, Class (philosophy), Mathematical analysis, Boundary (topology), Function (biology), Mixed boundary condition

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