본문 바로가기
KERD
논문KCI 등재

BOUNDEDNESS IN THE PERTURBED DIFFERENTIAL SYSTEMS

구윤회
한국수학교육학회|2013.08|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제20권 제3호|pp. 223-232

2

조회

0

다운로드

16

인용

0

참고문헌

키워드

h-stabilityh-systemt_∞-similarity.
주제분류수학

초록

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 h-stability. S.K. Choi et al. investigated h-stability for the nonlinear diifferential systems using the notion of t_∞ -similarity. Applying these two notions, we study bounds for solutions of the perturbed diifferential systems.

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 h-stability. S.K. Choi et al. investigated h-stability for the nonlinear diifferential systems using the notion of t_∞ -similarity. Applying these two notions, we study bounds for solutions of the perturbed diifferential systems.

참고문헌 (12)

  1. V.M. Alexseev, "An estimate for the perturbations of the solutions of ordinary differential equations Vestn", Mosk. Univ. Ser. I. Math. Mekh, 2, pp.28~36 (1961)
  2. S.K. Choi, "h-stability for nonlinear perturbed systems", Ann. of Diff. Eqs, 11, pp.1~9 (1995)
  3. S.K. Choi, "h-stability in differential systems", Bull. Inst. Math. Acad. Sinica, 21, pp.245~262 (1993)
  4. S.K. Choi, "h-stability of differential systems via t1-similarity", Bull. Korean. Math. Soc, 34, pp.371~383 (1997)
  5. S.K. Choi, "Lipschitz stability for nonlinear functional differen-tial systems", Far East J. Math. Sci(FJMS)I, 5, pp.689~708 (1999)
  6. 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)
  7. S. Elaydi, "Lipschitz stability for nonlinear Volterra integro-differential systems", Appl. Math. Computations, 27, pp.191~199 (1988)
  8. 구윤회, "BOUNDEDNESS IN PERTURBED DIFFERENTIAL SYSTEMS", Journal of Applied Mathematics and Informatics, 30(1), pp.279~287 (2012), 한국전산응용수학회
  9. 구윤회, "h¡STABILITY OF NONLINEAR PERTURBED DIFFERENTIAL SYSTEMS VIA t1-SIMILARITY", 순수 및 응용수학, 19(2), pp.171~177 (2012), 한국수학교육학회[DOI]
  10. V. Lakshmikantham, "Differential and Integral Inequalities: Theory and Applications Vol. I" (1969), Academic Press
  11. M. Pinto, "Perturbations of asymptotically stable differential systems", Analysis, 4, pp.161~175 (1984)
  12. M. Pinto, "Stability of nonlinear differential systems", Applicable Analysis, 43, pp.1~20 (1992)

관련 논문AI추천

BOUNDEDNESS IN THE FUNCTIONAL NONLINEAR PERTURBED DIFFERENTIAL SYSTEMS구윤회한국수학교육학회 · 이론수학과 교직수학2015 · 제22권 제2호Boundedness in nonlinear perturbed differential systems via $t_{\infty}$-similarity구윤회, 임동만강원경기수학회 · 한국수학논문집2016 · 제24권 제4호h-STABILITY AND BOUNDEDNESS IN FUNCTIONAL PERTURBED DIFFERENTIAL SYSTEMS구윤회한국수학교육학회 · 이론수학과 교직수학2015 · 제22권 제2호Boundedness in the nonlinear perturbed differential systems via t∞–similarity구윤회한국수학교육학회 · 이론수학과 교직수학2016 · 제23권 제2호h¡STABILITY OF NONLINEAR PERTURBED DIFFERENTIAL SYSTEMS VIA t1-SIMILARITY구윤회, 양승범한국수학교육학회 · 이론수학과 교직수학2012 · 제19권 제2호Boundedness in Perturbed functional differential systems via $t_{\infty}$-similarity구윤회, 최상일강원경기수학회 · 한국수학논문집2015 · 제23권 제2호

이 간행물의 다른 논문 (6건)

A NOTE ON THE INTEGRAL POINTS ON SOME HYPERBOLAS고한샘, 김연옥pp. 137-148ON THE GAUSS MAP OF GENERALIZED SLANT CYLINDRICAL SURFACES김동수, 송부선pp. 149-158COMMON COUPLED FIXED FOINT THEOREMS FOR NONLINEAR CONTRACTIVE CONDITION ON INTUITIONISTIC FUZZY METRIC SPACES WITH APPLICATION TO INTEGRAL EQUATIONSBhavana Deshpande, Amrish Handa, Sushil Sharmapp. 159-180FIXED POINT THEOREMS VIA FAMILY OF MAPS IN WEAK NON-ARCHIMEDEAN MENGER PM-SPACESDeepak Singh, Amin Ahmedpp. 181-198A NOTE ON SCALAR CURVATURE FUNCTIONS OF ALMOST-KÄAHLER METRICS김종수pp. 199-206
원문 보기