2003•Unpublished venueRequires access

A class of boundary-value problem with singular perturbation for third-order nonlinear equations

WU Qin-kuan

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Abstract

The existence of solution to a class of singularly perturbed nonlinear boundary-value problems with turning points for third-order nonlinear equations is proved by means of unknown function transformation, so that the uniformly valid asymptotic estimation of solution is given.

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What this paper is about

The existence of solution to a class of singularly perturbed nonlinear boundary-value problems with turning points for third-order nonlinear equations is proved by means of unknown function transformation, so that the uniformly valid asymptotic estimation of solution is given.

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Available abstract

The existence of solution to a class of singularly perturbed nonlinear boundary-value problems with turning points for third-order nonlinear equations is proved by means of unknown function transformation, so that the uniformly valid asymptotic estimation of solution is given.

Key concepts: Mathematics, Nonlinear system, Singular perturbation, Boundary value problem, Mathematical analysis, Third order, Class (philosophy), Method of matched asymptotic expansions

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