바로가기메뉴

본문 바로가기 주메뉴 바로가기

ACOMS+ 및 학술지 리포지터리 설명회

  • 한국과학기술정보연구원(KISTI) 서울분원 대회의실(별관 3층)
  • 2024년 07월 03일(수) 13:30
사전등록 바로가기
 

logo

ISSN : 1226-0657

논문 상세

이전
논문 투고

Vol.20 No.3
Citation Share

BOUNDEDNESS IN THE PERTURBED DIFFERENTIAL SYSTEMS

BOUNDEDNESS IN THE PERTURBED DIFFERENTIAL SYSTEMS

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2013, v.20 no.3, pp.223-232
https://doi.org/10.7468/jksmeb.2013.20.3.223
Goo, Yoon Hoe (Department of Mathematics, Hanseo University)
Goo, Yoon Hoe. (2013). BOUNDEDNESS IN THE PERTURBED DIFFERENTIAL SYSTEMS. 한국수학교육학회지시리즈B:순수및응용수학, 20(3), 223-232, https://doi.org/10.7468/jksmeb.2013.20.3.223
  • 다운로드 수
  • 조회수
PDF 다운로드

Abstract

Alexseev's formula generalizes the variation of constants formula and permits the study of a nonlinear perturbation of a system with certain stability properties. In recent years M. Pinto introduced the notion of <TEX>$h$</TEX>-stability. S.K. Choi et al. investigated <TEX>$h$</TEX>-stability for the nonlinear differential systems using the notion of <TEX>$t_{\infty}$</TEX>-similarity. Applying these two notions, we study bounds for solutions of the perturbed differential systems.

keywords
h-system, h-stability, <tex> $t_{\infty}$</tex>-similarity

참고문헌

1.

(1993). h-stability in differential systems. Bull. Inst. Math. Acad. Sinica, 21, 245-262.

2.

(1997). h-Stability of differential systems via <TEX>$t_{\infty}$</TEX>-similarity. Bulletin of the Korean Mathematical Society, 34(3), 371-383.

3.

(1999). Lipschitz stability for nonlinear functional differential systems. Far East J. Math. Sci(FJMS)I, 5, 689-708.

4.

(1957). Sulla <TEX>$t_{\infty}$</TEX>-similitudine tra matricie l'equivalenza asintotica dei sistemi differenziali lineari. Rivista di Mat. Univ. Parma, 8, 43-47.

5.

(1988). Lipschitz stability for nonlinear Volterra integro-differential systems. Appl. Math. Computations, 27, 191-199. 10.1016/0096-3003(88)90001-X.

6.

(2012). BOUNDEDNESS IN PERTURBED DIFFERENTIAL SYSTEMS. Journal of applied mathematics & informatics, 30(1_2), 279-287.

7.

(2012). h-STABILITY OF NONLINEAR PERTURBED DIFFERENTIAL SYSTEMS VIA t<sub>∞</sub>-SIMILARITY. The Pure and Applied Mathematics, 19(2), 171-177. 10.7468/jksmeb.2012.19.2.171.

8.

Differential and Integral Inequalities: Theory and Applications Vol. I.

9.

(1984). Perturbations of asymptotically stable differential systems. Analysis, 4, 161-175.

10.

(1992). Stability of nonlinear differential systems. Applicable Analysis, 43, 1-20. 10.1080/00036819208840049.

11.

(1995). h-stability for nonlinear perturbed systems. Ann. of Diff. Eqs., 11, 1-9.

12.

(1961). An estimate for the perturbations of the solutions of ordinary differential equations. Vestn. Mosk. Univ. Ser. I. Math. Mekh., 2, 28-36.

한국수학교육학회지시리즈B:순수및응용수학

논문 투고 OA 정책