A Simple Nonlinear Dynamic Stability Problem

  • BY B. J. MATKOWSKY
  • Published 2007

Abstract

Here the symbol ~ denotes asymptotic equivalence, and e is a small parameter to be defined below. We assume that ƒ (u) can be expanded in a Taylor series in u about w = 0 with /(O) = 0 /'(O) <0 , /"(O) = 0 , / " (O) > 0 , and that ft(0) = i W = 0 . This problem is as a mathematical model for the temperature distribution in a bar with a nonlinear heat source… (More)

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