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LIPSCHITZ AND ASYMPTOTIC STABILITY OF PERTURBED FUNCTIONAL DIFFERENTIAL SYSTEMS

구윤회|최상일
한국수학교육학회|2015.02|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제22권 제1호|pp. 1-11

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참고문헌

키워드

uniformly Lipschitz stabilityuniformly Lipschitz stability in variationexponentially asymptotic stabilityexponentially asymptotic stability in variation
주제분류수학

초록

The present paper is concerned with the notions of Lipschitz and asymptotic for perturbed functional differential system knowing the corresponding stability of functional differential system. We investigate Lipschitz and asymptotic stability for perturbedfunctional differential systems. The main tool used is integral inequalities of the Bihari-type, and all that sort of things.

Abstract

The present paper is concerned with the notions of Lipschitz and asymptotic for perturbed functional differential system knowing the corresponding stability of functional differential system. We investigate Lipschitz and asymptotic stability for perturbedfunctional differential systems. The main tool used is integral inequalities of the Bihari-type, and all that sort of things.

참고문헌 (16)

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  8. F.M. Dannan, "Lipschitz stability of nonlinear systems of differential sys-tems", J. Math. Anal. Appl, 113, pp.562~577 (1986)
  9. S. Elaydi, "Exponentially asymptotically stable dynamical systems", Appl. Anal, 25, pp.243~252 (1987)
  10. P. Gonzalez, "Stability properties of the solutions of the nonlinear functional differential systems", J. Math. Anal. Appl, 181, pp.562~573 (1994)
  11. 구윤회, "LIPSCHITZ AND ASYMPTOTIC STABILITY FOR PERTURBED NONLINEAR DIFFERENTIAL SYSTEMS", 순수 및 응용수학, 21(1), pp.11~21 (2014), 한국수학교육학회
  12. 구윤회, "BOUNDEDNESS IN THE PERTURBED DIFFERENTIAL SYSTEMS", 순수 및 응용수학, 20(3), pp.223~232 (2013), 한국수학교육학회
  13. 구윤회, "Uniform Lipschitz and asymptotic stability for perturbed differential systems", 충청수학회지, 26(4), pp.831~842 (2013), 충청수학회[DOI]
  14. 구윤회, "h-stability of the nonlinear perturbed differential systems via t_∞-similarity", 충청수학회지, 24(4), pp.695~702 (2011), 충청수학회
  15. V. Lakshmikantham, "Differential and Integral Inequalities: Theory and Applications Vol.I" (1969), Academic Press
  16. B.G. Pachpatte, "A note on Gronwall-Bellman inequality", J. Math. Anal. Appl, 44, pp.758~762 (1973)

관련 논문AI추천

LIPSCHITZ AND ASYMPTOTIC STABILITY FOR PERTURBED NONLINEAR DIFFERENTIAL SYSTEMS구윤회한국수학교육학회 · 이론수학과 교직수학2014 · 제21권 제1호UNIFORMLY LIPSCHITZ STABILITY AND ASYMPTOTIC PROPERTY IN PERTURBED NONLINEAR DIFFERENTIAL SYSTEMS구윤회, Sang Il Choi한국수학교육학회 · 이론수학과 교직수학2016 · 제23권 제1호Uniformly Lipschitz stability and asymptotic property of perturbed functional differential systems구윤회, 임동만강원경기수학회 · 한국수학논문집2016 · 제24권 제1호Lipschitz and asymptotic stability of nonlinear systems of perturbed differential equations구윤회, 최상일강원경기수학회 · 한국수학논문집2015 · 제23권 제1호On stability of nonlinear integro-differential systems with impulsive effect강보원, 구남집, 이현희대한수학회 · 대한수학회논문집2020 · 제35권 제3호BOUNDEDNESS IN THE FUNCTIONAL NONLINEAR PERTURBED DIFFERENTIAL SYSTEMS구윤회한국수학교육학회 · 이론수학과 교직수학2015 · 제22권 제2호

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