Applied Mathematics and Mechanics (English Edition) ›› 1997, Vol. 18 ›› Issue (7): 657-662.

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THE ASYMPTOTIC THEORY OF SEMILINEAR PERTURBED TELEGRAPH EQUATION AND ITS APPLICATION

Lai Shaoyong   

  1. Department of Mathematics, Sichuan Normal University, Chengdu 610068, P. R. China
  • Received:1996-02-15 Revised:1997-01-20 Online:1997-07-18 Published:1997-07-18

Abstract: This paper is devoted to studying the asymptotic theory of initial value problemsfor a semilinear perturbed telegraph equation. The asymptotic theory and validity offormal approximations are constructed on long timescale O(|ε|-1). Asan application ofthe asymptotic theory, the initial value problenis for a special telegraph equation arestudied and two asymptotic solutions of order O(|ε|-1) are presented.

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