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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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Vol.4 No.2

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ON $\phi$(t)-STABILITY FOR THE COMPARISON DIFFERENTIAL SYSTEM

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
1997, v.4 no.2, pp.161-166
Oh, Young-Sun (Department of Mathematics Education, Taegu University)
An, Jeong-Hyang (Department of Mathematics Education, Kyungsan University)
Oh, Young-Sun, & An, Jeong-Hyang. (1997). ON <TEX>$\phi$</TEX>(t)-STABILITY FOR THE COMPARISON DIFFERENTIAL SYSTEM, 4(2), 161-166.

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.

keywords
cone, adjoint cone, <tex> $\phi$</tex>(t)-equistability, comparison differential system

한국수학교육학회지시리즈B:순수및응용수학

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