메뉴 건너뛰기




Volumn 129, Issue 5, 1999, Pages 1017-1032

Periodic solutions of planar systems with two delays

Author keywords

[No Author keywords available]

Indexed keywords


EID: 33746961598     PISSN: 03082105     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0308210500031061     Document Type: Article
Times cited : (88)

References (26)
  • 1
    • 0030594503 scopus 로고    scopus 로고
    • On the existence and global bifurcation of periodic solutions to planar differential delay equations
    • M. Baptistini and P. Táboas. On the existence and global bifurcation of periodic solutions to planar differential delay equations. J. Diff. Eqns 127 (1996), 391-425.
    • (1996) J. Diff. Eqns , vol.127 , pp. 391-425
    • Baptistini, M.1    Táboas, P.2
  • 2
    • 12244299347 scopus 로고
    • Existence of periodic solutions of autonomous functional differential equations
    • S.-N. Chow. Existence of periodic solutions of autonomous functional differential equations. J. Diff. Eqns 15 (1974), 350-378.
    • (1974) J. Diff. Eqns , vol.15 , pp. 350-378
    • Chow, S.-N.1
  • 3
    • 0001513653 scopus 로고
    • Periodic solutions of autonomous equations
    • S.-N. Chow and J. K. Hale. Periodic solutions of autonomous equations. J. Math. Analysis Appl. 66 (1978), 495-506.
    • (1978) J. Math. Analysis Appl. , vol.66 , pp. 495-506
    • Chow, S.-N.1    Hale, J.K.2
  • 4
    • 0346912293 scopus 로고
    • The Fuller index and global Hopf bifurcation
    • S.-N. Chow and J. Mallet-Paret. The Fuller index and global Hopf bifurcation. J. Diff. Eqns 29 (1978), 66-85.
    • (1978) J. Diff. Eqns , vol.29 , pp. 66-85
    • Chow, S.-N.1    Mallet-Paret, J.2
  • 5
    • 0000209631 scopus 로고
    • Discrete delay, distributed delay and stability switches
    • K. L. Cooke and Z. Grossman. Discrete delay, distributed delay and stability switches. J. Math. Analysis Appl. 86 (1982), 592-627.
    • (1982) J. Math. Analysis Appl. , vol.86 , pp. 592-627
    • Cooke, K.L.1    Grossman, Z.2
  • 7
    • 0040335747 scopus 로고
    • 1-degree and global Hopf bifurcation theory of functional-differential equations
    • 1-degree and global Hopf bifurcation theory of functional-differential equations. J. Diff. Eqns 98 (1992), 277-298.
    • (1992) J. Diff. Eqns , vol.98 , pp. 277-298
    • Erbe, L.H.1    Krawcewicz, W.2    Gȩba, K.3    Wu, J.4
  • 8
    • 0030096405 scopus 로고    scopus 로고
    • Stability and existence of periodic solutions of a functional-differential equation
    • S. M. S. Godoy and J. G. dos Reis. Stability and existence of periodic solutions of a functional-differential equation. J. Math. Analysis Appl. 198 (1996), 381-398.
    • (1996) J. Math. Analysis Appl. , vol.198 , pp. 381-398
    • Godoy, S.M.S.1    Dos Reis, J.G.2
  • 9
    • 22244473030 scopus 로고    scopus 로고
    • Delay induced periodicity in a neural netlet of excitation and inhibition
    • K. Gopalsamy and I. Leung. Delay induced periodicity in a neural netlet of excitation and inhibition. Physica D 89 (1996), 395-426.
    • (1996) Physica D , vol.89 , pp. 395-426
    • Gopalsamy, K.1    Leung, I.2
  • 10
    • 0001909761 scopus 로고
    • A periodicity theorem for autonomous functional differential equations
    • R. Grafton. A periodicity theorem for autonomous functional differential equations. J. Diff. Eqns 6 (1969), 87-109.
    • (1969) J. Diff. Eqns , vol.6 , pp. 87-109
    • Grafton, R.1
  • 11
    • 0017439216 scopus 로고
    • Periodic solutions of differential-difference equations
    • K. P. Hadeler and J. Tomiuk. Periodic solutions of differential-difference equations. Arch. Ration. Mech. Analysis 65 (1977), 87-95.
    • (1977) Arch. Ration. Mech. Analysis , vol.65 , pp. 87-95
    • Hadeler, K.P.1    Tomiuk, J.2
  • 13
    • 0018505051 scopus 로고
    • Periodic solutions of a nonlinear second order differential equation with delay
    • U. an der Heiden. Periodic solutions of a nonlinear second order differential equation with delay. J. Math. Analysis Appl. 70 (1979), 599-609.
    • (1979) J. Math. Analysis Appl. , vol.70 , pp. 599-609
    • An Der Heiden, U.1
  • 14
    • 0011613933 scopus 로고    scopus 로고
    • Direction and stability of bifurcating periodic solutions in predator-prey systems with discrete delay
    • (ed. Z. Deng, Z. Liang, G. Lu and S. Ruan), New York: Marcel Dekker
    • Q. Huang, J. Wei, J. Wu and X. Zou. Direction and stability of bifurcating periodic solutions in predator-prey systems with discrete delay. In Differential equations and control theory (ed. Z. Deng, Z. Liang, G. Lu and S. Ruan), pp. 107-119 (New York: Marcel Dekker, 1996).
    • (1996) Differential Equations and Control Theory , pp. 107-119
    • Huang, Q.1    Wei, J.2    Wu, J.3    Zou, X.4
  • 15
    • 0001135605 scopus 로고
    • The existence of periodic solutions of f′(t) = -αf(x - 1)[1 + f(x)]
    • G. Jones. The existence of periodic solutions of f′(t) = -αf(x - 1)[1 + f(x)], J. Math. Analysis Appl. 5 (1962), 435-450.
    • (1962) J. Math. Analysis Appl. , vol.5 , pp. 435-450
    • Jones, G.1
  • 16
    • 0007142126 scopus 로고
    • Periodic solutions for a prey-predator differential delay equation
    • A. Leung. Periodic solutions for a prey-predator differential delay equation. J. Diff. Eqns 26 (1977), 391-403.
    • (1977) J. Diff. Eqns , vol.26 , pp. 391-403
    • Leung, A.1
  • 17
    • 0001842517 scopus 로고
    • Global continuation and asymptotic behavior for periodic solutions of a differential-delay equation
    • J. Mallet-Paret and R. D. Nussbaum. Global continuation and asymptotic behavior for periodic solutions of a differential-delay equation. Ann. Math. Pura Appl. 145 (1986), 33-128.
    • (1986) Ann. Math. Pura Appl. , vol.145 , pp. 33-128
    • Mallet-Paret, J.1    Nussbaum, R.D.2
  • 18
    • 0000145206 scopus 로고
    • A differential-delay equation arising in optics and physiology
    • J. Mallet-Paret and R. D. Nussbaum. A differential-delay equation arising in optics and physiology. SIAM J. Math. Analysis 20 (1989), 249-292.
    • (1989) SIAM J. Math. Analysis , vol.20 , pp. 249-292
    • Mallet-Paret, J.1    Nussbaum, R.D.2
  • 19
    • 49549172894 scopus 로고
    • Periodic solutions of some nonlinear autonomous functional differential equations. II
    • R. D. Nussbaum. Periodic solutions of some nonlinear autonomous functional differential equations. II. J. Diff. Eqns 14 (1973), 360-394.
    • (1973) J. Diff. Eqns , vol.14 , pp. 360-394
    • Nussbaum, R.D.1
  • 20
    • 0001109202 scopus 로고
    • Periodic solutions of some nonlinear autonomous functional differential equations
    • R. D. Nussbaum. Periodic solutions of some nonlinear autonomous functional differential equations. Ann. Math. Pura Appl. 101 (1974), 263-306.
    • (1974) Ann. Math. Pura Appl. , vol.101 , pp. 263-306
    • Nussbaum, R.D.1
  • 21
    • 0006663143 scopus 로고
    • Differential delay equations with two delays
    • R. D. Nussbaum. Differential delay equations with two delays. Mem. Am. Math. Soc. 16 (1978), 1-62.
    • (1978) Mem. Am. Math. Soc. , vol.16 , pp. 1-62
    • Nussbaum, R.D.1
  • 22
    • 0001082564 scopus 로고    scopus 로고
    • Bifurcations, stability, and monotonicity properties of a delayed neural network model
    • L. Olien and J. Bélair. Bifurcations, stability, and monotonicity properties of a delayed neural network model. Physica D 102 (1997), 349-363.
    • (1997) Physica D , vol.102 , pp. 349-363
    • Olien, L.1    Bélair, J.2
  • 23
    • 0002885593 scopus 로고
    • Periodic solutions of a planar delay equation
    • P. Táboas. Periodic solutions of a planar delay equation. Proc. R. Soc. Edinb. A 116 (1990), 85-101.
    • (1990) Proc. R. Soc. Edinb. A , vol.116 , pp. 85-101
    • Táboas, P.1
  • 24
    • 0347130009 scopus 로고    scopus 로고
    • Stability and bifurcation in a neural network model with two delays
    • J. Wei and S. Ruan. Stability and bifurcation in a neural network model with two delays. Physica D130 (1999), 255-272.
    • (1999) Physica D , vol.130 , pp. 255-272
    • Wei, J.1    Ruan, S.2
  • 26
    • 0031126691 scopus 로고    scopus 로고
    • Global existence of periodic solutions in a class of delayed Gause-type predator-prey systems
    • T. Zhao, Y. Kuang and H. L. Smith. Global existence of periodic solutions in a class of delayed Gause-type predator-prey systems. Nonlinear Analysis 28 (1997), 1373-1394.
    • (1997) Nonlinear Analysis , vol.28 , pp. 1373-1394
    • Zhao, T.1    Kuang, Y.2    Smith, H.L.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.