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Volumn 133, Issue 4, 2003, Pages 951-968

Stability of scalar delay differential equations with dominant delayed terms

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EID: 0141922770     PISSN: 03082105     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0308210500002766     Document Type: Conference Paper
Times cited : (12)

References (18)
  • 1
    • 8744305693 scopus 로고
    • Stability analysis of models of cell production systems
    • O. Arino and M. Kimmel. Stability analysis of models of cell production systems. Math. Modelling 17 (1986), 1269-1274.
    • (1986) Math. Modelling , vol.17 , pp. 1269-1274
    • Arino, O.1    Kimmel, M.2
  • 2
    • 0014536586 scopus 로고
    • A method and new results of stability and instability of autonomous functional differential equations
    • D. I. Barnea. A method and new results of stability and instability of autonomous functional differential equations. SIAM J. Appl. Math. 17 (1969), 681-697.
    • (1969) SIAM J. Appl. Math. , vol.17 , pp. 681-697
    • Barnea, D.I.1
  • 4
    • 0141948071 scopus 로고
    • Global attractivity and level crossings in model of hematopoiesis
    • K. Gopalsamy and P. Weng. Global attractivity and level crossings in model of hematopoiesis. Bull. Inst. Math. Acad. Sinica 22 (1994), 341-360.
    • (1994) Bull. Inst. Math. Acad. Sinica , vol.22 , pp. 341-360
    • Gopalsamy, K.1    Weng, P.2
  • 5
    • 0002702117 scopus 로고
    • Nicholson's blowflies revisited
    • W. S. Gurney, S. P. Blythe and R. M. Nisbet. Nicholson's blowflies revisited. Nature 287 (1980), 17-21.
    • (1980) Nature , vol.287 , pp. 17-21
    • Gurney, W.S.1    Blythe, S.P.2    Nisbet, R.M.3
  • 6
    • 0001186673 scopus 로고
    • Sufficient conditions for stability and instability of autonomous functional differential equations
    • J. K. Hale. Sufficient conditions for stability and instability of autonomous functional differential equations. J. Diff. Eqns 1 (1965), 452-482.
    • (1965) J. Diff. Eqns , vol.1 , pp. 452-482
    • Hale, J.K.1
  • 8
    • 0000120060 scopus 로고
    • On the nonlinear delay equation x′(t) = -f(x(t),x(t -1))
    • J. L. Kaplan and J. A. Yorke. On the nonlinear delay equation x′(t) = -f(x(t),x(t -1)). J. Diff. Eqns 23 (1977), 293.
    • (1977) J. Diff. Eqns , vol.23 , pp. 293
    • Kaplan, J.L.1    Yorke, J.A.2
  • 10
    • 0017714604 scopus 로고
    • Oscillation and chaos in physiological control systems
    • M. G. Mackey and L. Glass. Oscillation and chaos in physiological control systems. Science 197 (1977), 287-289.
    • (1977) Science , vol.197 , pp. 287-289
    • Mackey, M.G.1    Glass, L.2
  • 12
    • 0141913654 scopus 로고
    • Asymptotic stability for ordinary differential equations with delay perturbations
    • E. Winston. Asymptotic stability for ordinary differential equations with delay perturbations. SIAM J. Math. Analysis 5 (1974), 303-308.
    • (1974) SIAM J. Math. Analysis , vol.5 , pp. 303-308
    • Winston, E.1
  • 13
    • 84941442792 scopus 로고
    • A non-linear difference-differential equation
    • E. M. Wright. A non-linear difference-differential equation. J. Reine Angew. Math, 494 (1955), 66-87.
    • (1955) J. Reine Angew. Math , vol.494 , pp. 66-87
    • Wright, E.M.1
  • 14
    • 0000408561 scopus 로고
    • On the 3/2 stability theorem for one-dimensional delay-differential equations
    • T. Yoneyama. On the 3/2 stability theorem for one-dimensional delay-differential equations. J. Math. Analysis Applic. 125 (1987), 161-173.
    • (1987) J. Math. Analysis Applic. , vol.125 , pp. 161-173
    • Yoneyama, T.1
  • 15
    • 84972556630 scopus 로고
    • Uniform stability for one-dimensional delay-differential equations with dominant delayed term
    • T. Yoneyama. Uniform stability for one-dimensional delay-differential equations with dominant delayed term. Tôhoku Math. J. 41 (1989), 217-236.
    • (1989) Tôhoku Math. J. , vol.41 , pp. 217-236
    • Yoneyama, T.1
  • 16
    • 0005576966 scopus 로고
    • On the stability region of scalar delay-differential equations
    • T. Yoneyama and J. Sugie. On the stability region of scalar delay-differential equations. J. Math. Analysis Applic. 134 (1988), 408-425.
    • (1988) J. Math. Analysis Applic. , vol.134 , pp. 408-425
    • Yoneyama, T.1    Sugie, J.2
  • 17
    • 0000602617 scopus 로고
    • Asymptotic stability for one dimensional differential-delay equations
    • J. A. Yorke. Asymptotic stability for one dimensional differential-delay equations. J. Diff. Eqns 7 (1970), 189-202.
    • (1970) J. Diff. Eqns , vol.7 , pp. 189-202
    • Yorke, J.A.1
  • 18
    • 0041973940 scopus 로고    scopus 로고
    • Asymptotic stability for nonautonomous delay differential equations
    • J. S. Yu. Asymptotic stability for nonautonomous delay differential equations. Chin. Sci. Bull. 42 (1997), 1676-1680.
    • (1997) Chin. Sci. Bull. , vol.42 , pp. 1676-1680
    • Yu, J.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.