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2010•Unpublished venueRequires access

Singularly perturbed boundary value problem of second order quasi-linear equation with discontinuous function

NI Ming-kan

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Abstract

A class of singularly perturbed boundary value problem of second order quasi-linear equation with discontinuous function is discussed in this paper.Using the method of boundary layer functions and sewing orbit smooth,the asymptotic solution of this problem is shown and proved to be uniformly effective in the whole interval.This paper extend the function’s smooth condition in Tikihov system to discontinuous case.

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What this paper is about

A class of singularly perturbed boundary value problem of second order quasi-linear equation with discontinuous function is discussed in this paper.Using the method of boundary layer functions and sewing orbit smooth,the asymptotic solution of this problem is shown and proved to be uniformly effective in the whole interval.This paper extend the function’s smooth condition in Tikihov system to discontinuous case.

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Available abstract

A class of singularly perturbed boundary value problem of second order quasi-linear equation with discontinuous function is discussed in this paper.Using the method of boundary layer functions and sewing orbit smooth,the asymptotic solution of this problem is shown and proved to be uniformly effective in the whole interval.This paper extend the function’s smooth condition in Tikihov system to discontinuous case.

Key concepts: Mathematics, Mathematical analysis, Boundary value problem, Function (biology), Class (philosophy), Interval (graph theory), Order (exchange), Boundary (topology)

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