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Volumn 70, Issue 6, 2009, Pages 2248-2260

New results for the periodic boundary value problem for impulsive integro-differential equations

Author keywords

Comparison principle; Impulsive integro differential equations; Monotone iterative technique; Periodic boundary value problem

Indexed keywords

BOUNDARY VALUE PROBLEMS; INTEGRODIFFERENTIAL EQUATIONS; ITERATIVE METHODS; NONLINEAR EQUATIONS; SYSTEM STABILITY;

EID: 59049102714     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2008.03.004     Document Type: Article
Times cited : (87)

References (29)
  • 3
    • 0013465903 scopus 로고    scopus 로고
    • Dynamic impulse systems
    • Kluwer Academic Publishers Group, Dordrecht
    • Zavalishchin S.T., and Sesekin A.N. Dynamic impulse systems. Theory and Applications (1997), Kluwer Academic Publishers Group, Dordrecht
    • (1997) Theory and Applications
    • Zavalishchin, S.T.1    Sesekin, A.N.2
  • 5
    • 1942489227 scopus 로고    scopus 로고
    • Periodicity in a generalized ecological competition system governed by impulsive differential equations with delays
    • Zhang W., and Fan M. 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
  • 6
    • 12944265108 scopus 로고    scopus 로고
    • Existence and global attractivity of positive periodic solution of periodic single-species impulsive Lotka-Volterra systems
    • Yan J., Zhao A., and Nieto J.J. 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
  • 7
    • 11044221395 scopus 로고    scopus 로고
    • Global attractivity of positive periodic solutions for an impulsive delay periodic model of respiratory dynamics
    • Li W., and Huo H. 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
  • 8
    • 0036483349 scopus 로고    scopus 로고
    • Density-dependent birth rate, birth pulses and their population dynamic consequences
    • Tang S., and Chen L. Density-dependent birth rate, birth pulses and their population dynamic consequences. J. Math. Biol. 44 (2002) 185-199
    • (2002) J. Math. Biol. , vol.44 , pp. 185-199
    • Tang, S.1    Chen, L.2
  • 9
    • 0037412212 scopus 로고    scopus 로고
    • Optimal impulsive harvesting policy for single population
    • Zhang X., Shuai Z., and Wang K. Optimal impulsive harvesting policy for single population. Nonlinear Anal.: RWA 4 (2003) 639-651
    • (2003) Nonlinear Anal.: RWA , vol.4 , pp. 639-651
    • Zhang, X.1    Shuai, Z.2    Wang, K.3
  • 10
    • 18144413585 scopus 로고    scopus 로고
    • On pulse vaccination strategy in the SIR epidemic model with vertical transmission
    • d'Onofrio A. On pulse vaccination strategy in the SIR epidemic model with vertical transmission. Appl. Math. Lett. 18 (2005) 729-732
    • (2005) Appl. Math. Lett. , vol.18 , pp. 729-732
    • d'Onofrio, A.1
  • 11
    • 33746833233 scopus 로고    scopus 로고
    • Analysis of a delayed epidemic model with pulse vaccination and saturation incidence
    • Gao S., Chen L., Nieto J.J., and Torres A. Analysis of a delayed epidemic model with pulse vaccination and saturation incidence. Vaccine 24 (2006) 6037-6045
    • (2006) Vaccine , vol.24 , pp. 6037-6045
    • Gao, S.1    Chen, L.2    Nieto, J.J.3    Torres, A.4
  • 12
    • 36248929333 scopus 로고    scopus 로고
    • Analysis of an SIR epidemic model with pulse vaccination and distributed delay
    • Article ID 64870
    • Gao S., Teng Z., Nieto J.J., and Torres A. Analysis of an SIR epidemic model with pulse vaccination and distributed delay. J. Biotechnol. Biomed. 2007 (2007) 10 pp Article ID 64870
    • (2007) J. Biotechnol. Biomed. , vol.2007
    • Gao, S.1    Teng, Z.2    Nieto, J.J.3    Torres, A.4
  • 13
    • 43649101953 scopus 로고    scopus 로고
    • H. Zhang, L. Chen, J.J. Nieto, A delayed epidemic model with stage-structure and pulses for pest management strategy, Nonlinear Anal.: RWA, in press (doi:10.1016/j.nonrwa.2007.05.004)
    • H. Zhang, L. Chen, J.J. Nieto, A delayed epidemic model with stage-structure and pulses for pest management strategy, Nonlinear Anal.: RWA, in press (doi:10.1016/j.nonrwa.2007.05.004)
  • 14
    • 44249125024 scopus 로고    scopus 로고
    • Complexity of delayed predator-prey model with impulsive harvest and Holling type-II functional response
    • Zeng G., Wang F., and Nieto J.J. Complexity of delayed predator-prey model with impulsive harvest and Holling type-II functional response. Adv. Complex Syst. 11 (2008) 77-97
    • (2008) Adv. Complex Syst. , vol.11 , pp. 77-97
    • Zeng, G.1    Wang, F.2    Nieto, J.J.3
  • 15
    • 3242781762 scopus 로고    scopus 로고
    • Periodic boundary value problems for first order impulsive integro-differential equations of mixed type
    • He Z., and He X. Periodic boundary value problems for first order impulsive integro-differential equations of mixed type. J. Math. Anal. Appl. 296 (2004) 8-20
    • (2004) J. Math. Anal. Appl. , vol.296 , pp. 8-20
    • He, Z.1    He, X.2
  • 16
    • 9644310213 scopus 로고    scopus 로고
    • Monotone iterative technique for impulsive integro-differential equations with periodic boundary conditions
    • He Z., and He X. Monotone iterative technique for impulsive integro-differential equations with periodic boundary conditions. Comput. Math. Appl. 48 (2004) 73-84
    • (2004) Comput. Math. Appl. , vol.48 , pp. 73-84
    • He, Z.1    He, X.2
  • 17
    • 33845804393 scopus 로고    scopus 로고
    • Periodic boundary value problems for impulsive integro-differential equations
    • Li J., and Shen J. Periodic boundary value problems for impulsive integro-differential equations. Appl. Math. Comput. 183 (2006) 890-902
    • (2006) Appl. Math. Comput. , vol.183 , pp. 890-902
    • Li, J.1    Shen, J.2
  • 18
    • 33845894182 scopus 로고    scopus 로고
    • New comparison results for impulsive integro-differential equations and applications
    • Nieto J.J., and Rodríguez-López R. New comparison results for impulsive integro-differential equations and applications. J. Math. Anal. Appl. 328 (2007) 1343-1368
    • (2007) J. Math. Anal. Appl. , vol.328 , pp. 1343-1368
    • Nieto, J.J.1    Rodríguez-López, R.2
  • 20
    • 0033909311 scopus 로고    scopus 로고
    • Fixed points and approximate solutions for nonlinear operator equations
    • Cabada A., and Nieto J.J. Fixed points and approximate solutions for nonlinear operator equations. J. Comput. Appl. Math. 113 (1999) 17-25
    • (1999) J. Comput. Appl. Math. , vol.113 , pp. 17-25
    • Cabada, A.1    Nieto, J.J.2
  • 22
    • 59049083438 scopus 로고    scopus 로고
    • S. Brzychczy, Monotone iterative methods for nonlinear parabolic and elliptic differential-functional equations, Dissertations Monographs N 20, Wydawnictwa Akademii Grniczo-Hutniczej (AGH), Krakow, 1995
    • S. Brzychczy, Monotone iterative methods for nonlinear parabolic and elliptic differential-functional equations, Dissertations Monographs N 20, Wydawnictwa Akademii Grniczo-Hutniczej (AGH), Krakow, 1995
  • 23
    • 0031165421 scopus 로고    scopus 로고
    • An abstract monotone iterative technique
    • Nieto J.J. An abstract monotone iterative technique. Nonlinear Anal. 28 (1997) 1923-1933
    • (1997) Nonlinear Anal. , vol.28 , pp. 1923-1933
    • Nieto, J.J.1
  • 25
    • 1642519758 scopus 로고    scopus 로고
    • On monotone method for first and second order periodic boundary value problems and periodic solutions of functional differential equations
    • Jiang D., Nieto J.J., and Zuo W. On monotone method for first and second order periodic boundary value problems and periodic solutions of functional differential equations. J. Math. Anal. Appl. 289 (2004) 691-699
    • (2004) J. Math. Anal. Appl. , vol.289 , pp. 691-699
    • Jiang, D.1    Nieto, J.J.2    Zuo, W.3
  • 26
    • 33750447964 scopus 로고    scopus 로고
    • Monotone method for first-order functional differential equations
    • Nieto J.J., and Rodriguez-Lopez R. Monotone method for first-order functional differential equations. Comput. Math. Appl. 52 (2006) 471-484
    • (2006) Comput. Math. Appl. , vol.52 , pp. 471-484
    • Nieto, J.J.1    Rodriguez-Lopez, R.2
  • 27
    • 33847059618 scopus 로고    scopus 로고
    • Nonlinear boundary problem of first order impulsive integro-differential equations
    • Chen L., and Sun J. Nonlinear boundary problem of first order impulsive integro-differential equations. J. Comput. Appl. Math. 202 (2007) 392-401
    • (2007) J. Comput. Appl. Math. , vol.202 , pp. 392-401
    • Chen, L.1    Sun, J.2
  • 28
    • 0031567803 scopus 로고    scopus 로고
    • Basic theory for nonresonance impulsive periodic problems of first order equations
    • Nieto J.J. Basic theory for nonresonance impulsive periodic problems of first order equations. J. Math. Anal. Appl. 205 (1997) 423-433
    • (1997) J. Math. Anal. Appl. , vol.205 , pp. 423-433
    • Nieto, J.J.1
  • 29
    • 33750332425 scopus 로고    scopus 로고
    • Impulsive periodic boundary value problems of first order differential equations
    • Li J., Nieto J.J., and Shen J. Impulsive periodic boundary value problems of first order differential equations. J. Math. Anal. Appl. 325 (2007) 226-236
    • (2007) J. Math. Anal. Appl. , vol.325 , pp. 226-236
    • Li, J.1    Nieto, J.J.2    Shen, J.3


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