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Singular Perturbation of Two Points Boundary Value Problems for a Class of Third Order Quasilinear Differential Equations 被引量:1
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作者 谢峰 《Chinese Quarterly Journal of Mathematics》 CSCD 2001年第3期69-74,共6页
In this paper, the fixed-point Theorem i s used to estimate an asymptotic solution of boundary value problems for a class o f third order quasilinear differential equation and the uniformly valid asymptot ic expansio... In this paper, the fixed-point Theorem i s used to estimate an asymptotic solution of boundary value problems for a class o f third order quasilinear differential equation and the uniformly valid asymptot ic expansion of solution of any orders including boundary layer is obtained. 展开更多
关键词 fixed-point Theorem quasilinear differential eq uation asymptotic expansion singular perturbaiton
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Singular Perturbations of Boundary Value Problems for a Class of Quasilinear Differential Equations
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作者 HAN Xiang-lin(Department of Mathematics, Huzhou Teacher’s College, Huzhou 313000, China) 《Chinese Quarterly Journal of Mathematics》 CSCD 2003年第2期192-197,共6页
In this paper, the Nagumo theorem and the fixed-point theorem are used to prove the existence and the uniqueness and to estimate the asymptotic expansion of the shock solutions of the boundary value problems for a cla... In this paper, the Nagumo theorem and the fixed-point theorem are used to prove the existence and the uniqueness and to estimate the asymptotic expansion of the shock solutions of the boundary value problems for a class of quasilinear differential equations, the asymptotic expansion of solution of any orders including boundary is obtained. 展开更多
关键词 quasilinear equation Nagumo theorem fixed-point theorem asymptotic solution
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