BOUNDARY AND ANGULAR LAYER BEHAVIOR IN SINGULAR PERTURBED QUASILINEAR SYSTEMS

Applied Mathematics and Mechanics (English Edition) ›› 1986, Vol. 7 ›› Issue (5): 433-441.

BOUNDARY AND ANGULAR LAYER BEHAVIOR IN SINGULAR PERTURBED QUASILINEAR SYSTEMS

林宗池

Department of Mathematics, Fujian Normal University, Fuzhou

收稿日期:1985-02-28 出版日期:1986-05-18 发布日期:1986-05-18

BOUNDARY AND ANGULAR LAYER BEHAVIOR IN SINGULAR PERTURBED QUASILINEAR SYSTEMS

Lin Zong-chi

Department of Mathematics, Fujian Normal University, Fuzhou

Received:1985-02-28 Online:1986-05-18 Published:1986-05-18

摘要/Abstract

摘要： In this paper, using the method of differential inequalities, we study the existence of solutions and their asymptotic behavior, as e->0⁺ > ofDirichlt problem for second order quasttinear systems. Depending on whether the reduced solution U(t) has or does not have a continuous first-derivative in (a, b), we study two types of asymptotic behaviour, thus leading to the phenomena of boundary and angular layers.

关键词: free vibration, sandwich shell, viscoelastic material, cylindrical shell, constrained layer damping

Abstract: In this paper, using the method of differential inequalities, we study the existence of solutions and their asymptotic behavior, as e->0⁺ > ofDirichlt problem for second order quasttinear systems. Depending on whether the reduced solution U(t) has or does not have a continuous first-derivative in (a, b), we study two types of asymptotic behaviour, thus leading to the phenomena of boundary and angular layers.

Key words: viscoelastic material, cylindrical shell, sandwich shell, free vibration, constrained layer damping

林宗池. BOUNDARY AND ANGULAR LAYER BEHAVIOR IN SINGULAR PERTURBED QUASILINEAR SYSTEMS[J]. Applied Mathematics and Mechanics (English Edition), 1986, 7(5): 433-441.

Lin Zong-chi . BOUNDARY AND ANGULAR LAYER BEHAVIOR IN SINGULAR PERTURBED QUASILINEAR SYSTEMS[J]. Applied Mathematics and Mechanics (English Edition), 1986, 7(5): 433-441.

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BOUNDARY AND ANGULAR LAYER BEHAVIOR IN SINGULAR PERTURBED QUASILINEAR SYSTEMS

BOUNDARY AND ANGULAR LAYER BEHAVIOR IN SINGULAR PERTURBED QUASILINEAR SYSTEMS

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