메뉴 건너뛰기




Volumn 62, Issue 4, 2005, Pages 683-701

Existence and multiplicity of positive periodic solutions to functional differential equations with impulse effects

Author keywords

Existence; Fixed point theorem; Functional differential equation; Impulse; Positive periodic solution

Indexed keywords

DIFFERENTIATION (CALCULUS); FUNCTIONS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; PROBLEM SOLVING; THEOREM PROVING;

EID: 20444470117     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2005.04.005     Document Type: Article
Times cited : (45)

References (37)
  • 1
    • 14244254782 scopus 로고    scopus 로고
    • Successive approximation method for quasilinear impulsive differential equations with control
    • M.U. Akhmetov, and A. Zafer Successive approximation method for quasilinear impulsive differential equations with control Appl. Math. Lett. 13 5 2000 99 105
    • (2000) Appl. Math. Lett. , vol.13 , Issue.5 , pp. 99-105
    • Akhmetov, M.U.1    Zafer, A.2
  • 2
    • 0001532953 scopus 로고
    • Exponential stability of linear delay impulsive differential equations
    • A.V. Anokhin, L. Berezansky, and 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.V.1    Berezansky, L.2    Braverman, E.3
  • 3
    • 0001374696 scopus 로고
    • Stability under persistent disturbances of impulsive differential- difference equations of neutral type
    • D.D. Bainov, V. Covachev, and I. Stamova Stability under persistent disturbances of impulsive differential-difference equations of neutral type J. Math. Anal. Appl. 187 1994 790 808
    • (1994) J. Math. Anal. Appl. , vol.187 , pp. 790-808
    • Bainov, D.D.1    Covachev, V.2    Stamova, I.3
  • 5
    • 0009976565 scopus 로고    scopus 로고
    • A generalization of the monotone method for second order periodic boundary value problem with impulses at fixed points
    • A. Cabada, J.J. Nieto, D. Franco, and S.I. Trofimchuk A generalization of the monotone method for second order periodic boundary value problem with impulses at fixed points Dynamics Continuous Discrete Impulsive Systems 7 2000 145 158
    • (2000) Dynamics Continuous Discrete Impulsive Systems , vol.7 , pp. 145-158
    • Cabada, A.1    Nieto, J.J.2    Franco, D.3    Trofimchuk, S.I.4
  • 7
    • 0009976576 scopus 로고    scopus 로고
    • A contribution to the study of functional differential equations with impulses
    • D. Franco, E. Liz, J.J. Nieto, and Y.V. Rogovchenko A contribution to the study of functional differential equations with impulses Math. Nachr. 218 2000 49 60
    • (2000) Math. Nachr. , vol.218 , pp. 49-60
    • Franco, D.1    Liz, E.2    Nieto, J.J.3    Rogovchenko, Y.V.4
  • 8
    • 0141948071 scopus 로고
    • Global attractivity and level crossing in model of Hoematopoiesis
    • K. Gopalsamy, and P. Weng Global attractivity and level crossing in model of Hoematopoiesis 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
  • 10
    • 0036497535 scopus 로고    scopus 로고
    • On the existence of rapidly oscillatory solutions in the Nicholson blowflies equation
    • I. Gyori, and S.I. Trofimchuk On the existence of rapidly oscillatory solutions in the Nicholson blowflies equation Nonlinear Anal. 48 2002 1033 1042
    • (2002) Nonlinear Anal. , vol.48 , pp. 1033-1042
    • Gyori, I.1    Trofimchuk, S.I.2
  • 11
    • 0037081086 scopus 로고    scopus 로고
    • Periodic boundary value problem for first-order impulsive functional differential equations
    • Z. He, and J. Yu Periodic boundary value problem for first-order impulsive functional differential equations J. Comput. Appl: Math. 138 2002 205 217
    • (2002) J. Comput. Appl: Math. , vol.138 , pp. 205-217
    • He, Z.1    Yu, J.2
  • 13
    • 0040577509 scopus 로고
    • Global attractivity and uniformly persistence in Nicholson's blowfies
    • W. Joseph, H. So, and J. Yu Global attractivity and uniformly persistence in Nicholson's blowfies Differential Equation Dynamics Systems 2 1994 11 18
    • (1994) Differential Equation Dynamics Systems , vol.2 , pp. 11-18
    • Joseph, W.1    So, H.2    Yu, J.3
  • 16
    • 0001583818 scopus 로고    scopus 로고
    • Positive solutions of semilinear differential equations with singularities
    • K. Lan, and J.R.L. Webb Positive solutions of semilinear differential equations with singularities J. Differential Equations 148 1998 407 421
    • (1998) J. Differential Equations , vol.148 , pp. 407-421
    • Lan, K.1    Webb, J.R.L.2
  • 17
    • 6344254788 scopus 로고    scopus 로고
    • Existence and global attractivity of positive periodic solutions of functional differential with impulsives
    • W. Li, and H. Huo Existence and global attractivity of positive periodic solutions of functional differential with impulsives Nonlinear Anal. 59 2004 857 877
    • (2004) Nonlinear Anal. , vol.59 , pp. 857-877
    • Li, W.1    Huo, H.2
  • 18
    • 11044221395 scopus 로고    scopus 로고
    • Global attractivity of positive periodic solutions for an impulsive delay periodic model of respiratory dynamics
    • W. Li, and H. Huo Global attractivity of positive periodic solutions for an impulsive delay periodic model of respiratory dynamics J. Comput. Appl: Math. 174 2005 227 238
    • (2005) J. Comput. Appl: Math. , vol.174 , pp. 227-238
    • Li, W.1    Huo, H.2
  • 19
    • 0041857891 scopus 로고    scopus 로고
    • Asymptotic behavior of solutions of impulsive neutral differential equations
    • X. Liu, and J. Shen Asymptotic behavior of solutions of impulsive neutral differential equations Appl. Math. Lett. 12 7 1999 51 58
    • (1999) Appl. Math. Lett. , vol.12 , Issue.7 , pp. 51-58
    • Liu, X.1    Shen, J.2
  • 21
    • 0346247821 scopus 로고    scopus 로고
    • Global asymptotic stability of nonautonomous mathematical ecological equations with distributed deviating arguments
    • J. Luo, and J. Yu Global asymptotic stability of nonautonomous mathematical ecological equations with distributed deviating arguments Acta Math. Sinica 41 1998 1273 1282 (in Chinese)
    • (1998) Acta Math. Sinica , vol.41 , pp. 1273-1282
    • Luo, J.1    Yu, J.2
  • 22
    • 0017714604 scopus 로고
    • Oscillations and chaos in physiological control systems
    • M.C. Mackey, and L. Glass Oscillations and chaos in physiological control systems Science 197 1987 287 289
    • (1987) Science , vol.197 , pp. 287-289
    • MacKey, M.C.1    Glass, L.2
  • 23
    • 3242678973 scopus 로고    scopus 로고
    • Asymptotic stability of travelling waves for Nicholson's blowflies equation with diffusion
    • M. Mei Asymptotic stability of travelling waves for Nicholson's blowflies equation with diffusion Proc. Roy. Soc. Edinburgh Section A 134 2004 579 594
    • (2004) Proc. Roy. Soc. Edinburgh Section , vol.134 , pp. 579-594
    • Mei, M.1
  • 24
    • 0031567803 scopus 로고    scopus 로고
    • Basic theory for nonresonance impulsive periodic problems of first order
    • J.J. Nieto Basic theory for nonresonance impulsive periodic problems of first order J. Math. Anal. Appl. 205 1997 423 433
    • (1997) J. Math. Anal. Appl. , vol.205 , pp. 423-433
    • Nieto, J.J.1
  • 25
    • 31244432616 scopus 로고    scopus 로고
    • Impulsive resonance periodic problems of first order
    • J.J. Nieto Impulsive resonance periodic problems of first order Appl. Math. Lett. 15 2002 489 493
    • (2002) Appl. Math. Lett. , vol.15 , pp. 489-493
    • Nieto, J.J.1
  • 26
    • 12744277840 scopus 로고    scopus 로고
    • Periodic solutions for ordinary differential equations with sublinear impulsive effects
    • D. Qian, and X. Li Periodic solutions for ordinary differential equations with sublinear impulsive effects J. Math. Anal. Appl. 303 2005 288 303
    • (2005) J. Math. Anal. Appl. , vol.303 , pp. 288-303
    • Qian, D.1    Li, X.2
  • 29
    • 0003587180 scopus 로고    scopus 로고
    • On some asymptotic stability results of impulsive integro-differential equations
    • J.H. Shen On some asymptotic stability results of impulsive integro-differential equations Chinese Math. Ann. 17A 1996 759 765
    • (1996) Chinese Math. Ann. , vol.17 , pp. 759-765
    • Shen, J.H.1
  • 30
    • 16344369287 scopus 로고    scopus 로고
    • The existence of non-oscillatory solutions of delay differential equations with impulses
    • J.H. Shen The existence of non-oscillatory solutions of delay differential equations with impulses Appl. Math. Comput. 77 1996 156 165
    • (1996) Appl. Math. Comput. , vol.77 , pp. 156-165
    • Shen, J.H.1
  • 31
    • 0032162944 scopus 로고    scopus 로고
    • Razumikhin type stability theorems for impulsive functional differential equations
    • J.H. Shen, and J.R. Yan Razumikhin type stability theorems for impulsive functional differential equations Nonlinear Anal. TMA 33 1998 519 531
    • (1998) Nonlinear Anal. TMA , vol.33 , pp. 519-531
    • Shen, J.H.1    Yan, J.R.2
  • 32
    • 3242889892 scopus 로고    scopus 로고
    • Existence of positive periodic solutions for functional differential equations
    • A. Wan, and D. Jiang Existence of positive periodic solutions for functional differential equations Kyushu J. Math. 56 1 2002 193 202
    • (2002) Kyushu J. Math. , vol.56 , Issue.1 , pp. 193-202
    • Wan, A.1    Jiang, D.2
  • 33
    • 3242875514 scopus 로고    scopus 로고
    • A new existence theory for positive periodic solutions to functional differential equations
    • A. Wan, D. Jiang, and X. Xu A new existence theory for positive periodic solutions to functional differential equations Comput. Math. Appl. 47 2004 1257 1262
    • (2004) Comput. Math. Appl. , vol.47 , pp. 1257-1262
    • Wan, A.1    Jiang, D.2    Xu, X.3
  • 34
    • 0035500368 scopus 로고    scopus 로고
    • Oscillation of first-order impulsive differential equations with advanced argument
    • J. Yan Oscillation of first-order impulsive differential equations with advanced argument Comput. Math. Appl. 42 2001 1353 1363
    • (2001) Comput. Math. Appl. , vol.42 , pp. 1353-1363
    • Yan, J.1
  • 35
    • 12944265108 scopus 로고    scopus 로고
    • Existence and global attractivity of positive periodic solution of periodic single-species impulsive Lotka-Volterra systems
    • J. Yan, A. Zhao, and J.J. Nieto Existence and global attractivity of positive periodic solution of periodic single-species impulsive Lotka-Volterra systems Math. Comput. Model. 40 2004 509 518
    • (2004) Math. Comput. Model. , vol.40 , pp. 509-518
    • Yan, J.1    Zhao, A.2    Nieto, J.J.3
  • 36
    • 0030119989 scopus 로고    scopus 로고
    • Stability theorems for delay differential equations with impulses
    • J.S. Yu, and B.G. Zhang Stability theorems 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
  • 37
    • 1942489227 scopus 로고    scopus 로고
    • Periodicity in a generalized ecological competition system governed by impulsive differential equations with delays
    • W. Zhang, and M. Fan Periodicity in a generalized ecological competition system governed by impulsive differential equations with delays Math. Comput. Model. 39 2004 479 493
    • (2004) Math. Comput. Model. , vol.39 , pp. 479-493
    • Zhang, W.1    Fan, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.