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BOUNDEDNESS IN NONLINEAR FUNCTIONAL DIFFERENTIAL SYSTEMS VIA t∞-SIMILARITY

구윤회
한국수학교육학회|2015.08|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제22권 제3호|pp. 215-227

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참고문헌

키워드

h–stabilityt∞–similarityperturbed functional differential system.
주제분류수학

초록

In this paper, we investigate bounds for solutions of nonlinear functional differential systems using the notion of t∞-similarity.

Abstract

In this paper, we investigate bounds for solutions of nonlinear functional differential systems using the notion of t∞-similarity.

참고문헌 (14)

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  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. 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. 구윤회, "BOUNDEDNESS IN THE FUNCTIONAL NONLINEAR PERTURBED DIFFERENTIAL SYSTEMS", 순수 및 응용수학, 22(2), pp.101~112 (2015), 한국수학교육학회
  7. 구윤회, "h-STABILITY OF PERTURBED DIFFERENTIAL SYSTEMS VIA t∞-SIMILARITY", Journal of Applied Mathematics and Informatics, 30(3), pp.511~516 (2012), 한국전산응용수학회[DOI]
  8. 구윤회, "BOUNDEDNESS IN THE PERTURBED DIFFERENTIAL SYSTEMS", 순수 및 응용수학, 20(3), pp.223~232 (2013), 한국수학교육학회
  9. 구윤회, "BOUNDEDNESS IN PERTURBED DIFFERENTIAL SYSTEMS", Journal of Applied Mathematics and Informatics, 30(1), pp.279~287 (2012), 한국전산응용수학회
  10. G.A. Hewer, "Stability properties of the equation by t1-similarity", J. Math. Anal. Appl, 41, pp.336~344 (1973)
  11. V. Lakshmikantham, "Differential and Integral Inequalities: Theory and Applications" (1969), Academic Press
  12. B.G. Pachpatte, "On some retarded inequalities and applications", J. Ineq. Pure Appl. Math, 3, pp.1~7 (2002)
  13. M. Pinto, "Perturbations of asymptotically stable differential systems", Analysis, 4, pp.161~175 (1984)
  14. M. Pinto, "Stability of nonlinear differential systems", Applicable Analysis, 43, pp.1~20 (1992)

관련 논문AI추천

Boundedness in Perturbed functional differential systems via $t_{\infty}$-similarity구윤회, 최상일강원경기수학회 · 한국수학논문집2015 · 제23권 제2호Boundedness in the nonlinear functional differential systems구윤회, 최상일대한수학회 · 대한수학회논문집2015 · 제30권 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 제2호Boundedness in nonlinear perturbed differential systems via $t_{\infty}$-similarity구윤회, 임동만강원경기수학회 · 한국수학논문집2016 · 제24권 제4호BOUNDEDNESS IN THE FUNCTIONAL NONLINEAR PERTURBED DIFFERENTIAL SYSTEMS구윤회한국수학교육학회 · 이론수학과 교직수학2015 · 제22권 제2호

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