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h¡STABILITY OF NONLINEAR PERTURBED DIFFERENTIAL SYSTEMS VIA t1-SIMILARITY

양승범|구윤회
한국수학교육학회|2012.05|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제19권 제2호|pp. 171-177|DOI http://dx.doi.org/10.7468/jksmeb.2012.19.2.171

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참고문헌

키워드

h-stabilityt∞-similaritynonlinear nonautonomous system.h-system
주제분류수학

초록

The main purpose of this paper is to investigate h¡stability of the nonlinear perturbed differential systems using the notion of t∞-similarity. As results, we generalize some previous h-stability results on this topic.

Abstract

The main purpose of this paper is to investigate h¡stability of the nonlinear perturbed differential systems using the notion of t∞-similarity. As results, we generalize some previous h-stability results on this topic.

참고문헌 (15)

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  5. R. Conti, "Sulla t∞-similitudine tra matricie l'equivalenza asintotica dei sistemi differenziali lineari", Rivista di Mat. Univ. Parma, 8, pp.43~47 (1957)
  6. Yoon Hoe Goo, "h-STABILITY OF THE NONLINEAR DIFFERENTIAL SYSTEMS VIA t∞-SIMILARITY", 충청수학회지, 23(2), pp.383~389 (2010), 충청수학회
  7. 구윤회, "h-STABILITY OF THE NONLINEAR PERTURBED DIFFERENTIAL SYSTEMS", 충청수학회지, 23(4), pp.827~834 (2010), 충청수학회
  8. Yoon Hoe Goo, "h-stability of the nonlinear perturbed differential systems via t_∞-similarity", 충청수학회지, 24(4), pp.695~702 (2011), 충청수학회
  9. 구윤회, "h-STABILITY OF PERTURBED DIFFERENTIAL SYSTEMS", 순수 및 응용수학, 18(4), pp.337~344 (2011), 한국수학교육학회
  10. G.A. Hewer, "Stability properties of the equation by t∞-similarity", J. Math. Anal. Appl, 41, pp.336~344 (1973)
  11. V. Lakshmikantham, "Differential and Integral Inequalities: Theory and Applications Vol. I" (1969), Academic Press
  12. B.G. Pachpatte, "A note on Gronwall-Bellman inequality", J. Math. Anal. Appl, 44, pp.758~762 (1973)
  13. M. Pinto, "Perturbations of asymptotically stable differential systems", Analysis, 4, pp.161~175 (1984)
  14. M. Pinto, "Asymptotic integration of a system resulting from the perturbation of an h-system", J. Math. Anal. Appl, 131, pp.194~216 (1988)
  15. M. Pinto, "Stability of nonlinear differential systems", Applicable Analysis, 43, pp.1~20 (1992)

관련 논문AI추천

h-STABILITY OF PERTURBED DIFFERENTIAL SYSTEMS구윤회한국수학교육학회 · 이론수학과 교직수학2011 · 제18권 제4호Boundedness in the nonlinear perturbed differential systems via t∞–similarity구윤회한국수학교육학회 · 이론수학과 교직수학2016 · 제23권 제2호h-STABILITY AND BOUNDEDNESS IN FUNCTIONAL PERTURBED DIFFERENTIAL SYSTEMS구윤회한국수학교육학회 · 이론수학과 교직수학2015 · 제22권 제2호Boundedness in nonlinear perturbed differential systems via $t_{\infty}$-similarity구윤회, 임동만강원경기수학회 · 한국수학논문집2016 · 제24권 제4호BOUNDEDNESS IN THE FUNCTIONAL NONLINEAR PERTURBED DIFFERENTIAL SYSTEMS구윤회한국수학교육학회 · 이론수학과 교직수학2015 · 제22권 제2호BOUNDEDNESS IN NONLINEAR FUNCTIONAL DIFFERENTIAL SYSTEMS VIA t∞-SIMILARITY구윤회한국수학교육학회 · 이론수학과 교직수학2015 · 제22권 제3호

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