SINGULAR PERTURBATION OF BOUNDARY VALUE PROBLEM OF SYSTEMS FOR QUASILINEAR ORDINARY DIFFERENTIAL EQUATIONS

Applied Mathematics and Mechanics (English Edition) ›› 1990, Vol. 11 ›› Issue (11): 1035-1042.

SINGULAR PERTURBATION OF BOUNDARY VALUE PROBLEM OF SYSTEMS FOR QUASILINEAR ORDINARY DIFFERENTIAL EQUATIONS

林宗池¹, 林苏榕²

1. Fujian Normal University, Fuzhou;
2. Fujian Broadcasting TV University, Fuzhou

收稿日期:1989-11-13 出版日期:1990-11-18 发布日期:1990-11-18
基金资助:
The project supported by the Natiaeial Natural Science Foundation of China

SINGULAR PERTURBATION OF BOUNDARY VALUE PROBLEM OF SYSTEMS FOR QUASILINEAR ORDINARY DIFFERENTIAL EQUATIONS

Lin Zong-chi¹, Lin Su-rong²

1. Fujian Normal University, Fuzhou;
2. Fujian Broadcasting TV University, Fuzhou

Received:1989-11-13 Online:1990-11-18 Published:1990-11-18
Supported by:
The project supported by the Natiaeial Natural Science Foundation of China

摘要/Abstract

摘要： In this paper, we study the singular perturbation of boundary value problem of systemsfor quasilinear ordinary differential equations: where xf.y,h,A,B and C belong to Rn and a is a diagonal matrix.Under the appropriate assumptions, using the technique of diagonalization and the theory of differential inequalities we obtain the existence of solution and its componentwise uniformly valid asymptotic estimation.

关键词: Quasilinear systems, Singularly perturbed boundary value problem, Diagonalization and differential inequality, Asymptotic expansion

Abstract: In this paper, we study the singular perturbation of boundary value problem of systemsfor quasilinear ordinary differential equations: where xf.y,h,A,B and C belong to Rn and a is a diagonal matrix.Under the appropriate assumptions, using the technique of diagonalization and the theory of differential inequalities we obtain the existence of solution and its componentwise uniformly valid asymptotic estimation.

Key words: Quasilinear systems, Singularly perturbed boundary value problem, Diagonalization and differential inequality, Asymptotic expansion

林宗池;林苏榕. SINGULAR PERTURBATION OF BOUNDARY VALUE PROBLEM OF SYSTEMS FOR QUASILINEAR ORDINARY DIFFERENTIAL EQUATIONS[J]. Applied Mathematics and Mechanics (English Edition), 1990, 11(11): 1035-1042.

Lin Zong-chi;Lin Su-rong. SINGULAR PERTURBATION OF BOUNDARY VALUE PROBLEM OF SYSTEMS FOR QUASILINEAR ORDINARY DIFFERENTIAL EQUATIONS[J]. Applied Mathematics and Mechanics (English Edition), 1990, 11(11): 1035-1042.

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SINGULAR PERTURBATION OF BOUNDARY VALUE PROBLEM OF SYSTEMS FOR QUASILINEAR ORDINARY DIFFERENTIAL EQUATIONS

SINGULAR PERTURBATION OF BOUNDARY VALUE PROBLEM OF SYSTEMS FOR QUASILINEAR ORDINARY DIFFERENTIAL EQUATIONS

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