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Volumn 59, Issue 6, 2004, Pages 857-877

Existence and global attractivity of positive periodic solutions of functional differential equations with impulses

Author keywords

Coincidence degree; Delay differential equation; Global attractivity; Impulse; Positive periodic solution

Indexed keywords

FUNCTIONS; LINEAR EQUATIONS; LYAPUNOV METHODS; MATHEMATICAL MODELS; PERTURBATION TECHNIQUES; PROBLEM SOLVING;

EID: 6344254788     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2004.07.042     Document Type: Article
Times cited : (37)

References (27)
  • 1
    • 0001274382 scopus 로고
    • Systems d'equations differentielle d'oscillations nonlineaires
    • I. Barbalat, Systems d'equations differentielle d'oscillations nonlineaires, Rev. Roumaine Math. Pures Appl. 4 (1959) 267-270.
    • (1959) Rev. Roumaine Math. Pures Appl. , vol.4 , pp. 267-270
    • Barbalat, I.1
  • 4
    • 0025411728 scopus 로고
    • Enrivonmental periodicity and time delays in a "food-limited" population model
    • K. Gopalsamy, M.R.S. Kulenović, G. Ladas, Enrivonmental periodicity and time delays in a "food-limited" population model, J. Math. Anal. Appl. 147 (1990) 545-555.
    • (1990) J. Math. Anal. Appl. , vol.147 , pp. 545-555
    • Gopalsamy, K.1    Kulenović, M.R.S.2    Ladas, G.3
  • 5
    • 0012105336 scopus 로고
    • Oscillatory and asymptotic behavior of a multiplicative delay logistic equation
    • K. Gopalsamy, B.S. Lalli, Oscillatory and asymptotic behavior of a multiplicative delay logistic equation, Dynamics Stability Systems 7 (1992) 35-42.
    • (1992) Dynamics Stability Systems , vol.7 , pp. 35-42
    • Gopalsamy, K.1    Lalli, B.S.2
  • 6
    • 0000914669 scopus 로고
    • On the delay differential equations with impulses
    • K. Gopalsamy, B.G. Zhang, On the delay differential equations with impulses, J. Math. Anal. Appl. 139 (1989) 110-112.
    • (1989) J. Math. Anal. Appl. , vol.139 , pp. 110-112
    • Gopalsamy, K.1    Zhang, B.G.2
  • 7
    • 0002155437 scopus 로고
    • Necessary and sufficient conditions for the oscillations of a multiplicative delay logistic equation
    • S.R. Grace, I. Györi, B.S. Lalli, Necessary and sufficient conditions for the oscillations of a multiplicative delay logistic equation, Quart. Appl. Math. 53 (1995) 69-79.
    • (1995) Quart. Appl. Math. , vol.53 , pp. 69-79
    • Grace, S.R.1    Györi, I.2    Lalli, B.S.3
  • 8
    • 0030240890 scopus 로고    scopus 로고
    • Oscillation and global attractivity in a periodic delay equation
    • J.R. Greaf, C. Qian, P.W. Spikes, Oscillation and global attractivity in a periodic delay equation, Canad. Math. Bull. 38 (1996) 275-283.
    • (1996) Canad. Math. Bull. , vol.38 , pp. 275-283
    • Greaf, J.R.1    Qian, C.2    Spikes, P.W.3
  • 10
    • 6344289835 scopus 로고    scopus 로고
    • Existence and global attractivity of positive periodic solution of an impulsive delay differential equation
    • in press
    • H.F. Huo, W.T. Li, X. Liu, Existence and global attractivity of positive periodic solution of an impulsive delay differential equation, Appl. Anal., in press.
    • Appl. Anal.
    • Huo, H.F.1    Li, W.T.2    Liu, X.3
  • 13
    • 0002727168 scopus 로고
    • On a periodic delay population model
    • B.S. Lalli, B.G. Zhang, On a periodic delay population model, Quart. Appl. Math. 52 (1994) 35-42.
    • (1994) Quart. Appl. Math. , vol.52 , pp. 35-42
    • Lalli, B.S.1    Zhang, B.G.2
  • 14
    • 0142061867 scopus 로고    scopus 로고
    • Existence and global attractivity of apositive periodic solution of a class of delay differential equation
    • Y.K. Li, Existence and global attractivity of apositive periodic solution of a class of delay differential equation, Sci. China Ser. A 41 (1998) 273-284.
    • (1998) Sci. China Ser. A , vol.41 , pp. 273-284
    • Li, Y.K.1
  • 15
    • 0000334087 scopus 로고
    • The balance of animal population
    • A.J. Nicholson, The balance of animal population, J. Animal Ecol. 2 (1933) 132-178.
    • (1933) J. Animal Ecol. , vol.2 , pp. 132-178
    • Nicholson, A.J.1
  • 16
    • 0017083003 scopus 로고
    • Population dynamics in a periodically varying environment
    • R.M. Nisbet, W.S.C. Gurney, Population dynamics in a periodically varying environment, J. Theor. Biol. 56 (1976) 459-475.
    • (1976) J. Theor. Biol. , vol.56 , pp. 459-475
    • Nisbet, R.M.1    Gurney, W.S.C.2
  • 18
    • 0023068959 scopus 로고
    • Time delays produced by essential nonlinearity in population growth models
    • G. Rosen, Time delays produced by essential nonlinearity in population growth models, Bull. Math. Biol. 28 (1987) 253-256.
    • (1987) Bull. Math. Biol. , vol.28 , pp. 253-256
    • Rosen, G.1
  • 19
    • 6344270607 scopus 로고    scopus 로고
    • Oscillation and global attractivity of a periodic survival red blood cells model
    • in press
    • S. H. Saker, S. Agarwal, Oscillation and global attractivity of a periodic survival red blood cells model, Comput. Math. Appl., in press.
    • Comput. Math. Appl.
    • Saker, S.H.1    Agarwal, S.2
  • 20
    • 0037177280 scopus 로고    scopus 로고
    • Oscillation and global attractivity in a periodic Nichlson's blowflies model
    • S.H. Saker, S. Agarwal, Oscillation and global attractivity in a periodic Nichlson's blowflies model, Math. Comp. Modelling 35 (2002) 719-731.
    • (2002) Math. Comp. Modelling , vol.35 , pp. 719-731
    • Saker, S.H.1    Agarwal, S.2
  • 21
    • 0002904857 scopus 로고    scopus 로고
    • Global existence and uniqueness, oscillation and nonoscillation of impulsive delay differential Equations
    • in Chinese
    • J.H. Shen, Global existence and uniqueness, oscillation and nonoscillation of impulsive delay differential Equations, Acta Math. Sinica 40 (1) (1997) 53-59 (in Chinese).
    • (1997) Acta Math. Sinica , vol.40 , Issue.1 , pp. 53-59
    • Shen, J.H.1
  • 22
    • 0037658919 scopus 로고    scopus 로고
    • Existence and global attractivity of positive periodic solution for an impulsive Lasota-Wazewska model
    • J.R. Yan, Existence and global attractivity of positive periodic solution for an impulsive Lasota-Wazewska model, J. Math. Anal. Appl. 279 (2003) 111-120.
    • (2003) J. Math. Anal. Appl. , vol.279 , pp. 111-120
    • Yan, J.R.1
  • 23
    • 0342484417 scopus 로고    scopus 로고
    • Global attractivity and oscillation in a nonlinear delay equation
    • J. Yan, Q. Feng, Global attractivity and oscillation in a nonlinear delay equation, Nonlinear Anal. TMA 43 (2001) 101-108.
    • (2001) Nonlinear Anal. TMA , vol.43 , pp. 101-108
    • Yan, J.1    Feng, Q.2
  • 24
    • 0001277673 scopus 로고    scopus 로고
    • Oscillation and stability of linear impulsive delay differential equations
    • J.R. Yan, A.M. Zhao, Oscillation and stability of linear impulsive delay differential equations, J. Math. Anal. Appl. 227 (1998) 187-194.
    • (1998) J. Math. Anal. Appl. , vol.227 , pp. 187-194
    • Yan, J.R.1    Zhao, A.M.2
  • 25
    • 0001828205 scopus 로고
    • Global attractivity and oscillations in a periodic delay-logistic equation
    • B.G. Zhang, K. Gopalsamy, Global attractivity and oscillations in a periodic delay-logistic equation, J. Math. Anal. Appl. 150 (1990) 274-283.
    • (1990) J. Math. Anal. Appl. , vol.150 , pp. 274-283
    • Zhang, B.G.1    Gopalsamy, K.2
  • 26
    • 6344227135 scopus 로고    scopus 로고
    • Global attractivity for certain impulsive delay differential equations
    • B.G. Zhang, Y.J. Liu, Global attractivity for certain impulsive delay differential equations, Nonlinear Anal. 35 (1999) 1019-1030.
    • (1999) Nonlinear Anal. , vol.35 , pp. 1019-1030
    • Zhang, B.G.1    Liu, Y.J.2
  • 27
    • 0039494832 scopus 로고    scopus 로고
    • Global attractivity in impulsive functional differential equation
    • X.S. Zhang, J.Y. Yan, Global attractivity in impulsive functional differential equation, Indian J. Pure Appl. Math. 29 (1998) 871-878.
    • (1998) Indian J. Pure Appl. Math. , vol.29 , pp. 871-878
    • Zhang, X.S.1    Yan, J.Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.