메뉴 건너뛰기




Volumn 309, Issue 2, 2005, Pages 462-473

Exponential stability for impulsive delay differential equations by Razumikhin method

Author keywords

Exponential stability; Impulsive delay differential equation; Lyapunov function; Razumikhin technique

Indexed keywords


EID: 22944438138     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmaa.2004.09.016     Document Type: Article
Times cited : (90)

References (20)
  • 1
    • 0001532953 scopus 로고
    • Exponential stability of linear delay impulsive differential equations
    • A. Anokhin L. Berezansky E. Braverman exponential stability of linear delay impulsive differential equations 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
    • 0001487315 scopus 로고    scopus 로고
    • Existence and uniqueness results for impulsive delay differential equations
    • G. Ballinger X. Liu Existence and uniqueness results for impulsive delay differential equations Dynam. Contin. Discrete Impuls. Systems 5 1999 579-591
    • (1999) Dynam. Contin. Discrete Impuls. Systems , vol.5 , pp. 579-591
    • Ballinger, G.1    Liu, X.2
  • 3
    • 22944477874 scopus 로고    scopus 로고
    • Practical stability of impulsive delay differential equations and applications to control problems
    • Kluwer Academic Dordrecht
    • G. Ballinger X. Liu Practical stability of impulsive delay differential equations and applications to control problems in: Optimization Methods and Applications 2001 Kluwer Academic Dordrecht
    • (2001) Optimization Methods and Applications
    • Ballinger, G.1    Liu, X.2
  • 4
    • 22944489711 scopus 로고    scopus 로고
    • Exponential stability of some scalar impulsive delay differential equation
    • L. Berezansky L. Idels Exponential stability of some scalar impulsive delay differential equation Comm. Appl. Math. Anal. 2 1998 301-309
    • (1998) Comm. Appl. Math. Anal. , vol.2 , pp. 301-309
    • Berezansky, L.1    Idels, L.2
  • 5
    • 0000914669 scopus 로고
    • On delay differential equations with impulses
    • K. Gopalsamy B.G. Zhang On delay differential equations with impulses J. Math. Anal. Appl. 139 1989 110-122
    • (1989) J. Math. Anal. Appl. , vol.139 , pp. 110-122
    • Gopalsamy, K.1    Zhang, B.G.2
  • 10
    • 0001094011 scopus 로고
    • Stability criteria for impulsive differential equations in terms of two measures
    • V. Lakshmikantham X. Liu Stability criteria for impulsive differential equations in terms of two measures J. Math. Anal. Appl. 137 1989 591-604
    • (1989) J. Math. Anal. Appl. , vol.137 , pp. 591-604
    • Lakshmikantham, V.1    Liu, X.2
  • 11
    • 0003165287 scopus 로고
    • Impulsive stabilization of nonlinear systems
    • X. Liu Impulsive stabilization of nonlinear systems IMA J. Math. Control Inform. 10 1993 11-19
    • (1993) IMA J. Math. Control Inform. , vol.10 , pp. 11-19
    • Liu, X.1
  • 12
    • 0028559633 scopus 로고
    • Stability results for impulsive differential systems with applications to population growth models
    • X. Liu Stability results for impulsive differential systems with applications to population growth models Dynam. Stability Systems 9 1994 163-174
    • (1994) Dynam. Stability Systems , vol.9 , pp. 163-174
    • Liu, X.1
  • 13
    • 0036833138 scopus 로고    scopus 로고
    • Existence and continuability of solutions for differential equations with delays and state-dependent impulses
    • X. Liu G. Ballinger Existence and continuability of solutions for differential equations with delays and state-dependent impulses Nonlinear Anal. 51 2002 633-647
    • (2002) Nonlinear Anal. , vol.51 , pp. 633-647
    • Liu, X.1    Ballinger, G.2
  • 14
    • 0037410027 scopus 로고    scopus 로고
    • Boundedness for impulsive delay differential equations and applications to population growth models
    • X. Liu G. Ballinger Boundedness for impulsive delay differential equations and applications to population growth models Nonlinear Anal. 53 2003 1041-1062
    • (2003) Nonlinear Anal. , vol.53 , pp. 1041-1062
    • Liu, X.1    Ballinger, G.2
  • 15
    • 0035313610 scopus 로고    scopus 로고
    • Uniform asymptotic stability of impulsive delay differential equations
    • X. Liu G. Ballinger Uniform asymptotic stability of impulsive delay differential equations Comput. Math. Appl. 41 2001 903-915
    • (2001) Comput. Math. Appl. , vol.41 , pp. 903-915
    • Liu, X.1    Ballinger, G.2
  • 16
    • 84979765993 scopus 로고    scopus 로고
    • Exponential stability of singularly perturbed systems with time delay
    • X. Liu X. Shen Y. Zhang Exponential stability of singularly perturbed systems with time delay Appl. Anal. 82 2003 117-130
    • (2003) Appl. Anal. , vol.82 , pp. 117-130
    • Liu, X.1    Shen, X.2    Zhang, Y.3
  • 17
    • 2342538996 scopus 로고    scopus 로고
    • Stability theorems and existence results for periodic solutions of nonlinear impulsive delay differential equations with variable coefficients
    • Y. Liu W. Ge Stability theorems and existence results for periodic solutions of nonlinear impulsive delay differential equations with variable coefficients Nonlinear Anal. 57 2004 363-399
    • (2004) Nonlinear Anal. , vol.57 , pp. 363-399
    • Liu, Y.1    Ge, W.2
  • 18
    • 0032162944 scopus 로고    scopus 로고
    • Razumikhin type stability theorems for impulsive functional differential equations
    • J. Shen J. Yan Razumikhin type stability theorems for impulsive functional differential equations Nonlinear Anal. 33 1998 519-531
    • (1998) Nonlinear Anal. , vol.33 , pp. 519-531
    • Shen, J.1    Yan, J.2
  • 19
    • 0035339302 scopus 로고    scopus 로고
    • Lyapunov-Razumikhin method for impulsive functional equations and applications to the population dynamics
    • I.M. Stamova G.T. Stamov Lyapunov-Razumikhin method for impulsive functional equations and applications to the population dynamics J. Comput. Appl. Math. 130 2001 163-171
    • (2001) J. Comput. Appl. Math. , vol.130 , pp. 163-171
    • Stamova, I.M.1    Stamov, G.T.2
  • 20
    • 0033164492 scopus 로고    scopus 로고
    • Impulsive stabilization of functional differential equations by Lyapunov-Razumikhin functions
    • J. Yan J. Shen Impulsive stabilization of functional differential equations by Lyapunov-Razumikhin functions Nonlinear Anal. 37 1999 245-255
    • (1999) Nonlinear Anal. , vol.37 , pp. 245-255
    • Yan, J.1    Shen, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.