A class of boundary-value problem with singular perturbation for third-order nonlinear equations
WU Qin-kuan
Abstract
WU Qin-kuan
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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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