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

Lin Zong-chi; Ni Shou-ping

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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(8)

References

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