Applied Mathematics and Mechanics (English Edition) ›› 1985, Vol. 6 ›› Issue (9): 835-839.

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SINGULAR PERTURBATIONS OF ROBIN BOUNDARY VALUE PROBLEMS FOB SEMILINEAR SYSTEMS

K. W. Chang1, Lin Zong-chi 2   

  1. 1. Department of Mathematics, The University of Calgary, Canada;
    2. Department of Mathematics, Fujian Normal University, China
  • Received:1984-11-15 Online:1985-09-18 Published:1985-09-18

Abstract: In this paper, we study the singular perturbations of Robin boundary value problems for semilinear systems using the method and technique of differential inequalities. We assume that the corresponding reduced system has at least one solution which is Iq -stable. This "component-wise" Iq-stability condition will allow us to obtain estimates for each component of the solution.

Key words: electrortheological fluid, response time, dynamic model

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