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Volumn 131, Issue 2-3, 2002, Pages 373-381

Stability theorem for delay differential equations with impulses

Author keywords

Impulse; Nonlinear; Scalar delay differential equation; Stability

Indexed keywords


EID: 0037174271     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(01)00154-0     Document Type: Article
Times cited : (14)

References (19)
  • 1
    • 0001532953 scopus 로고
    • Exponential stability of linear delay impulsive differential equation
    • A. Anokhin L. Berezansky E. Braverman Exponential stability of linear delay impulsive differential equation J. Math. Anal. Appl. 193 1995 923 941
    • (1995) J. Math. Anal. Appl. , vol.193 , pp. 923-941
    • Anokhin, A.1    Berezansky, L.2    Braverman, E.3
  • 2
    • 0000421481 scopus 로고
    • Stability of linear delay impulsive differential equations
    • A. Anokhin L. Berezansky E. Braverman Stability of linear delay impulsive differential equations Dyn. Sys. Appl. 4 2 1995 173 188
    • (1995) Dyn. Sys. Appl. , vol.4 , Issue.2 , pp. 173-188
    • Anokhin, A.1    Berezansky, L.2    Braverman, E.3
  • 3
    • 8744305693 scopus 로고
    • Stability analysis of models of cell production systems
    • O. Arino M. Kimmel Stability analysis of models of cell production systems Math. Modell. 17 1986 1269 1274
    • (1986) Math. Modell. , vol.17 , pp. 1269-1274
    • Arino, O.1    Kimmel, M.2
  • 4
    • 0031251139 scopus 로고    scopus 로고
    • Explicit conditions of exponential stability for a linear impulsive delay differential equation
    • L. Berezansky E. Braverman Explicit conditions of exponential stability for a linear impulsive delay differential equation J. Math. Anal. Appl. 214 1997 439 458
    • (1997) J. Math. Anal. Appl. , vol.214 , pp. 439-458
    • Berezansky, L.1    Braverman, E.2
  • 5
    • 0002862686 scopus 로고
    • On the stability of a delay differential equations with impulses
    • L. Berezansky E. Braverman On the stability of a delay differential equations with impulses Funct. Diff. Eq., Isr. Sem. 2 1994 11 21
    • (1994) Funct. Diff. Eq., Isr. Sem. , vol.2 , pp. 11-21
    • Berezansky, L.1    Braverman, E.2
  • 6
    • 85120096730 scopus 로고
    • K. Gopalsamy Stability and Oscillations in Delay Differential Equations of Popuiation Dynamics 1992 Kluwer Academic Publishers Dordrecht
    • (1992)
    • Gopalsamy, K.1
  • 7
    • 0141948071 scopus 로고
    • Global attractivity and level crossings in model of hematopoiesis, bulletin of the institute of mathematics
    • K. Gopalsamy P. Weng Global attractivity and level crossings in model of hematopoiesis, bulletin of the institute of mathematics Acad. Sin. 22 4 1994 341 360
    • (1994) Acad. Sin. , vol.22 , Issue.4 , pp. 341-360
    • Gopalsamy, K.1    Weng, P.2
  • 9
    • 85120094788 scopus 로고
    • J.K. Hale Theory of Functional Differentiaal Equations 1977 Springer New York
    • (1977)
    • Hale, J.K.1
  • 10
    • 0000120060 scopus 로고
    • On the nonlinear delay equation x′(t)=−f(x(t),x(t−1))
    • ′( t )=− f ( x ( t ), x ( t −1)) J. Diff. Eqs. 23 1977 293
    • (1977) J. Diff. Eqs. , vol.23 , pp. 293
    • Kaplan, J.L.1    Yorke, J.A.2
  • 11
    • 85120093730 scopus 로고
    • Y. Kuang Delay Differential Equations with Applications in Population Dynamics 1993 Academic Press Boston
    • (1993)
    • Kuang, Y.1
  • 13
    • 85120143797 scopus 로고
    • V. Lakshmikantham X.Z. Liu Stability Analysis in Terms of Two Measures 1993 World Scientific Singapore
    • (1993)
    • Lakshmikantham, V.1    Liu, X.Z.2
  • 14
    • 0017714604 scopus 로고
    • Oscillation and chaos in physiological control systems
    • M.C. Mackey L. Glass Oscillation and chaos in physiological control systems Science 197 1977 287 289
    • (1977) Science , vol.197 , pp. 287-289
    • Mackey, M.C.1    Glass, L.2
  • 16
    • 0002671702 scopus 로고
    • The 32 stability theorem for one-dimensional delay-differential equations with unbounded delay
    • T. Yoneyama The 3 2 stability theorem for one-dimensional delay-differential equations with unbounded delay J. Math. Anal. Appl. 165 1992 133 143
    • (1992) J. Math. Anal. Appl. , vol.165 , pp. 133-143
    • Yoneyama, T.1
  • 17
    • 0030119989 scopus 로고    scopus 로고
    • Stability theorem for delay differential equations with impulses
    • J.S. Yu B.G. Zhang Stability theorem for delay differential equations with impulses J. Math. Anal. Appl. 199 1996 162 175
    • (1996) J. Math. Anal. Appl. , vol.199 , pp. 162-175
    • Yu, J.S.1    Zhang, B.G.2
  • 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 20 1997 1676 1680
    • (1997) Chin. Sci. Bull. , vol.42 , Issue.20 , pp. 1676-1680
    • Yu, J.S.1
  • 19
    • 0030210986 scopus 로고    scopus 로고
    • Asymptotic behavior of solutions of impulsive delay differential equations
    • A. Zhao J. Yan Asymptotic behavior of solutions of impulsive delay differential equations J. Math. Anal. Appl. 201 1996 943 954
    • (1996) J. Math. Anal. Appl. , vol.201 , pp. 943-954
    • Zhao, A.1    Yan, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.