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h-STABILITY OF PERTURBED DIFFERENTIAL SYSTEMS

구윤회
한국수학교육학회|2011.11|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제18권 제4호|pp. 337-344

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참고문헌

키워드

h-stabilitynonlinear nonautonomous system.t1-similarity
주제분류수학

초록

In this paper, we investigate h¡stability of the nonlinear perturbed di®erential systems.

Abstract

In this paper, we investigate h¡stability of the nonlinear perturbed di®erential systems.

참고문헌 (14)

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  3. S.K. Choi, "Stabilities for nonlinear functional differential equa- tions", J. Chungcheong Math. Soc, 9, pp.165~174 (1996)
  4. S.K. Choi, "h-stability of differential systems via t1-similarity", Bull. Korean. Math. Soc, 34, pp.371~383 (1997)
  5. R. Conti, "Sulla t1-similitudine tra matricie l'equivalenza asintotica dei sistemi differen- ziali 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. Yoon Hoe Goo, "h-STABILITY FOR PERTURBED INTEGRO-DIFFERENTIAL SYSTEMS", 충청수학회지, 21(4), pp.511~517 (2008), 충청수학회
  8. Yoon Hoe Goo, "h−STABILITY IN CERTAIN INTEGRO-DIFFERENTIAL EQUATIONS", 충청수학회지, 22(1), pp.81~88 (2009), 충청수학회
  9. G.A. Hewer, "Stability properties of the equation by t1-similarity", J. Math. Anal. Appl, 41, pp.336~344 (1973)
  10. V. Lakshmikantham, "Differential and Integral Inequalities: Theory and Applications Vol. I" (1969), Academic Press
  11. B.G. Pachpatte, "A note on Gronwall-Bellman inequality", J. Math. Anal. Appl, 44, pp.758~762 (1973)
  12. M. Pinto, "Perturbations of asymptotically stable differential systems", Analysis, 4, pp.161~175 (1984)
  13. M. Pinto, "Asymptotic integration of a system resulting from the perturbation of an h- system", J. Math. Anal. Appl, 131, pp.194~216 (1988)
  14. M. Pinto, "Stability of nonlinear differential systems", Applicable Analysis, 43, pp.1~20 (1992)

관련 논문AI추천

h¡STABILITY OF NONLINEAR PERTURBED DIFFERENTIAL SYSTEMS VIA t1-SIMILARITY구윤회, 양승범한국수학교육학회 · 이론수학과 교직수학2012 · 제19권 제2호h-STABILITY AND BOUNDEDNESS IN FUNCTIONAL PERTURBED DIFFERENTIAL SYSTEMS구윤회한국수학교육학회 · 이론수학과 교직수학2015 · 제22권 제2호Lipschitz and asymptotic stability of nonlinear systems of perturbed differential equations구윤회, 최상일강원경기수학회 · 한국수학논문집2015 · 제23권 제1호BOUNDEDNESS IN THE FUNCTIONAL NONLINEAR PERTURBED DIFFERENTIAL SYSTEMS구윤회한국수학교육학회 · 이론수학과 교직수학2015 · 제22권 제2호Boundedness in the nonlinear perturbed differential systems via t∞–similarity구윤회한국수학교육학회 · 이론수학과 교직수학2016 · 제23권 제2호Boundedness in nonlinear perturbed differential systems via $t_{\infty}$-similarity구윤회, 임동만강원경기수학회 · 한국수학논문집2016 · 제24권 제4호

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