Singular Perturbation of General Boundary Value Problem for Higher-Order Quasilinear Elliptic Equation Involving Many Small Parameters

Lin Zong-chi; Ni Shou-ping

Volume 4 Issue 5

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Article Navigation > Applied Mathematics and Mechanics > 1983 > 4(5): 657-670

Lin Zong-chi, Ni Shou-ping. Singular Perturbation of General Boundary Value Problem for Higher-Order Quasilinear Elliptic Equation Involving Many Small Parameters[J]. Applied Mathematics and Mechanics, 1983, 4(5): 657-670.

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Singular Perturbation of General Boundary Value Problem for Higher-Order Quasilinear Elliptic Equation Involving Many Small Parameters

Department of Mathematics, Fujian Normal University, Fuzhou

Received Date: 1982-11-11
Publish Date: 1983-10-15

Abstract

Abstract

In this paper applyiag M. I. Visik and L. A. Lpusternik's^[1] asymptotic method and principle of fixed point of functional analysis, we study the singular perturbation of general boundary value problem for higher order quasilinear elliptic equation in the case of boundary perturbation combined with equation perturbation. We prove the existence and uniqueness of solution for perturbed problem. We give its asymptotic approximation and estimation of related remainder term.

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References

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[2]	江福汝、高汝熹,高阶椭圆型方程一般边值问题奇摄动,科学通报,23(1979),1057-1061.
[3]	林宗池,边界和算子双摄动的高阶椭圆型方程一般边值问题解的渐近式.应用数学和力学.3.1(1982).33-47.
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