Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
권호 표지

OSCILLATION AND ASYMPTOTIC STABILITY BEHAVIOR OF A THIRD ORDER LINEAR IMPULSIVE EQUATION

  • WAN ANHUA (Faculty of Science, Xi'an Jiaotong University, Department of Applied Mathematics, Faculty of Science, South China Agricultural University) ;
  • MAO WEIHUA (Department of Applied Mathematics, Faculty of Science, South China Agricultural University)
  • Published : 2005.03.01

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Abstract

In this paper, the oscillation and asymptotic stability behavior of a third order linear impulsive equation are investigated. A lemma is presented to deal with the sign relation of the nonoscillatory solutions and their derived functions. By the lemma explicit sufficient conditions are obtained for all solutions either oscillating or asymptotically tending to zero. Two illustrative examples are proposed to demonstrate the effectiveness of the conditions.

Keywords