The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
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ON $\phi$(t)-STABILITY FOR THE COMPARISON DIFFERENTIAL SYSTEM

  • Oh, Young-Sun (Department of Mathematics Education, Taegu University) ;
  • An, Jeong-Hyang (Department of Mathematics Education, Kyungsan University)
  • Published : 1997.12.01
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Abstract

We obtained sufficient conditions for $\phi$(t)-stability and uniform $\phi$(t)-stability of the trivial solution of comparison differential system. we also investigated the corresponding stability concepts of the trivial solution of the differential system using the thoery of differential inequlities through cones and the method of conevalued Lyapunov functions.

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