논문KCI 등재
$h$-stability for nonlinear perturbed differencesystems
1
조회
0
다운로드
2
인용
0
참고문헌
주제분류수학
초록
Abstract
We show that two concepts of h-stability and h-stabil-ity invariation for nonlinear difference systems are equivalent by usingthe concept of n_infty-summable similarity of their associatedvariational systems. Also, we study h-stability for perturbednonlinear system y(n+1)=f(n,y(n))+g(n,y(n),Sy(n)) of nonlineardifference system x(n+1)=f(n,x(n)) using the comparisonprinciple and extended discrete Bihari-type inequality.
참고문헌 (13)
- "newblock Difference equations andinequalities" (2000), newblock Marcel Dekker
- "newblock h-stability of differential systems via t_infty-similarity via t_infty-similarity,newblo", 34, pp.371~383 (1997)
- K. Choi, "newblock Lipschitz stability and exponential asymptotic stability for thenonlinear functional differential systems,newblock", 6, pp.397~410 (1997)
- "newblock Variationally stable difference systems by n_infty- similarity,newblock", 249, pp.553~568 (2000)
- "newblock Variatonally stable difference systems,newblock", 25, pp.587~605 (2001)
- "to appear in Discrete Dyn. Nat. Soc.}"
- "newblock Asymptotic equivalence between two linear Volterra difference systems,newblock", 47, pp.461~471 (2004)
- "newblock Theory of difference equations with applications to numerical analysis" (1988), newblock Academic Press
- "newblock Asymptotic behavior of nonlinear difference systems,newblock", 219, pp.294~311 (1998)
- "newblock Stability of nonlinear difference equations,newblock", 2, pp.397~404 (1996)
- "newblock Variationally stable difference equations,newblock", 2, pp.1141~1152 (1997)
- "newblock Perturbations of asymptotically stable differenctial systems", pp.161~4 (1984)
- "newblock Linear asymptotic equilibrium and uniform, exponential, and strictly stability of linear difference systems,newblock", 36, pp.261~267 (1998)
관련 논문AI추천
h-stability of perturbed Volterra difference systems구남집, 구윤회, 최성규대한수학회 · 대한수학회보2002 · 제39권 제1호h-STABILITY OF PERTURBED DIFFERENTIAL SYSTEMS구윤회한국수학교육학회 · 이론수학과 교직수학2011 · 제18권 제4호Stability of linear nabla fractional difference equationsJ. J. Mohan, N. Shobanadevi장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2014 · 제17권 제4호On asymptotic property for nonlinear difference systems구남집, 임동만, 최성규대한수학회 · 대한수학회논문집2005 · 제20권 제2호Asymptotic behavior of nonlinear Volterra difference systems구남집, 구윤회, 최성규대한수학회 · 대한수학회보2007 · 제44권 제1호Global asymptotic stability of a higher order difference equationAlaa E. Hamza, R. Khalaf-Allah대한수학회 · 대한수학회보2007 · 제44권 제3호
이 간행물의 다른 논문 (16건)
Postnikov sections and groups이기영pp. 393-401The uniform consistency of the sample kernel quantile process김성연, 배종식pp. 403-412Invertible and isometric composition operators on vector-valued hardy spacesUdhey Bhanu, S. D. Sharmapp. 414-418Relative projectivity and related resultsH. Ansari-Toroghypp. 419-426On the pressure of continuous transformationsKi Duk Han, 박종서, 이경복pp. 427-434
