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Volumn 186, Issue 1, 2007, Pages 294-301

On state-dependent delay partial neutral functional-differential equations

Author keywords

Abstract Cauchy problem; Neutral equations; Semigroup of linear operators; State dependent delay; Unbounded delay

Indexed keywords

MATHEMATICAL OPERATORS; NUMERICAL METHODS;

EID: 33947242399     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2006.07.103     Document Type: Article
Times cited : (59)

References (27)
  • 1
    • 0034147952 scopus 로고    scopus 로고
    • A mathematical model of the dynamics of the phytoplankton-nutrient system: spatial heterogeneity in ecological models (Alcalá de Henares, 1998)
    • Arino O., Boushaba K., and Boussouar A. A mathematical model of the dynamics of the phytoplankton-nutrient system: spatial heterogeneity in ecological models (Alcalá de Henares, 1998). Nonlinear Anal. RWA 1 1 (2000) 69-87
    • (2000) Nonlinear Anal. RWA , vol.1 , Issue.1 , pp. 69-87
    • Arino, O.1    Boushaba, K.2    Boussouar, A.3
  • 2
    • 0001687872 scopus 로고
    • Analysis of a model representing stage-structured population growth with state-dependent time delay
    • Aiello W., Freedman H.I., and Wu J. Analysis of a model representing stage-structured population growth with state-dependent time delay. SIAM J. Appl. Math. 52 3 (1992) 855-869
    • (1992) SIAM J. Appl. Math. , vol.52 , Issue.3 , pp. 855-869
    • Aiello, W.1    Freedman, H.I.2    Wu, J.3
  • 3
    • 0037409279 scopus 로고    scopus 로고
    • Periodic solutions for differential equations with state-dependent delay and positive feedback
    • Bartha M. Periodic solutions for differential equations with state-dependent delay and positive feedback. Nonlinear Anal. TMA 53 6 (2003) 839-857
    • (2003) Nonlinear Anal. TMA , vol.53 , Issue.6 , pp. 839-857
    • Bartha, M.1
  • 4
    • 44049117474 scopus 로고
    • The effects of state-dependent time delay on a stage-structured population growth model
    • Cao Y., Fan J., and Gard T.C. The effects of state-dependent time delay on a stage-structured population growth model. Nonlinear Anal. TMA 19 2 (1992) 95-105
    • (1992) Nonlinear Anal. TMA , vol.19 , Issue.2 , pp. 95-105
    • Cao, Y.1    Fan, J.2    Gard, T.C.3
  • 5
    • 0036568046 scopus 로고    scopus 로고
    • On equations with delay depending on solution
    • Alexander D., Drakhlin M., and Litsyn E. On equations with delay depending on solution. Nonlinear Anal. TMA 49 5 (2002) 689-701
    • (2002) Nonlinear Anal. TMA , vol.49 , Issue.5 , pp. 689-701
    • Alexander, D.1    Drakhlin, M.2    Litsyn, E.3
  • 6
    • 7544239222 scopus 로고    scopus 로고
    • Positive periodic solutions for a class of higher-dimensional state-dependent delay functional differential equations with feedback control
    • Li Y., and Zhu L. Positive periodic solutions for a class of higher-dimensional state-dependent delay functional differential equations with feedback control. Appl. Math. Comput. 159 3 (2004) 783-795
    • (2004) Appl. Math. Comput. , vol.159 , Issue.3 , pp. 783-795
    • Li, Y.1    Zhu, L.2
  • 7
    • 0004319759 scopus 로고    scopus 로고
    • Analysis of a model of stage-structured population dynamics growth with time state-dependent time delay
    • Zaghrout A.A.S., and Attalah S.H. Analysis of a model of stage-structured population dynamics growth with time state-dependent time delay. Appl. Math. Comput. 77 2-3 (1996) 185-194
    • (1996) Appl. Math. Comput. , vol.77 , Issue.2-3 , pp. 185-194
    • Zaghrout, A.A.S.1    Attalah, S.H.2
  • 8
    • 0035425134 scopus 로고    scopus 로고
    • Parameter estimation by quasilinearization in functional differential equations with state-dependent delays: a numerical study
    • Proceedings of the Third World Congress of Nonlinear Analysis, Part 7 (Catania, 2000)
    • Hartung F. Parameter estimation by quasilinearization in functional differential equations with state-dependent delays: a numerical study. Proceedings of the Third World Congress of Nonlinear Analysis, Part 7 (Catania, 2000). Nonlinear Anal. TMA 47 7 (2001) 4557-4566
    • (2001) Nonlinear Anal. TMA , vol.47 , Issue.7 , pp. 4557-4566
    • Hartung, F.1
  • 9
    • 0004407154 scopus 로고    scopus 로고
    • Parameter identification in classes of neutral differential equations with state-dependent delays
    • Hartung F., Herdman T.L., and Turi J. Parameter identification in classes of neutral differential equations with state-dependent delays. Nonlinear Anal. TMA 39 3 (2000) 305-325
    • (2000) Nonlinear Anal. TMA , vol.39 , Issue.3 , pp. 305-325
    • Hartung, F.1    Herdman, T.L.2    Turi, J.3
  • 10
    • 0031540979 scopus 로고    scopus 로고
    • Identification of parameters in delay equations with state-dependent delays
    • Hartung F., and Turi J. Identification of parameters in delay equations with state-dependent delays. Nonlinear Anal. TMA 29 11 (1997) 1303-1318
    • (1997) Nonlinear Anal. TMA , vol.29 , Issue.11 , pp. 1303-1318
    • Hartung, F.1    Turi, J.2
  • 11
    • 0009238406 scopus 로고
    • Slowly oscillating periodic solutions of autonomous state-dependent delay equations
    • Kuang Y., and Smith H.L. Slowly oscillating periodic solutions of autonomous state-dependent delay equations. Nonlinear Anal. TMA 19 9 (1992) 855-872
    • (1992) Nonlinear Anal. TMA , vol.19 , Issue.9 , pp. 855-872
    • Kuang, Y.1    Smith, H.L.2
  • 12
    • 0002358602 scopus 로고
    • A neutral system with state-dependent delay
    • Driver R.D. A neutral system with state-dependent delay. J. Differen. Equat. 54 1 (1984) 73-86
    • (1984) J. Differen. Equat. , vol.54 , Issue.1 , pp. 73-86
    • Driver, R.D.1
  • 13
    • 8344280388 scopus 로고    scopus 로고
    • Existence of periodic solutions in neutral state-dependent delays equations and models
    • Yang Z., and Cao J. Existence of periodic solutions in neutral state-dependent delays equations and models. J. Comput. Appl. Math. 174 1 (2005) 179-199
    • (2005) J. Comput. Appl. Math. , vol.174 , Issue.1 , pp. 179-199
    • Yang, Z.1    Cao, J.2
  • 14
    • 33646490876 scopus 로고    scopus 로고
    • A note on partial functional differential equations with state-dependent delay
    • Hernández E., Prokopczyk A., and Ladeira L. A note on partial functional differential equations with state-dependent delay. Nonlinear Anal. RWA 7 4 (2006) 510-519
    • (2006) Nonlinear Anal. RWA , vol.7 , Issue.4 , pp. 510-519
    • Hernández, E.1    Prokopczyk, A.2    Ladeira, L.3
  • 15
    • 31944438698 scopus 로고    scopus 로고
    • A non-local PDE model for population dynamics with state-selective delay: local theory and global attractors
    • Rezounenko A.V., and Wu J. A non-local PDE model for population dynamics with state-selective delay: local theory and global attractors. J. Comput. Appl. Math. 190 1-2 (2006) 99-113
    • (2006) J. Comput. Appl. Math. , vol.190 , Issue.1-2 , pp. 99-113
    • Rezounenko, A.V.1    Wu, J.2
  • 16
    • 0003324723 scopus 로고
    • Introduction to functional-differential equations
    • Springer-Verlag, New York
    • Hale J.K., and Lunel V. Introduction to functional-differential equations. Applied Mathematical Sciences vol. 99 (1993), Springer-Verlag, New York
    • (1993) Applied Mathematical Sciences , vol.99
    • Hale, J.K.1    Lunel, V.2
  • 17
    • 0002373922 scopus 로고    scopus 로고
    • A class of linear partial neutral functional-differential equations with nondense domain
    • Adimy M., and Ezzinbi K. A class of linear partial neutral functional-differential equations with nondense domain. J. Differen. Equat. 147 2 (1998) 285-332
    • (1998) J. Differen. Equat. , vol.147 , Issue.2 , pp. 285-332
    • Adimy, M.1    Ezzinbi, K.2
  • 18
    • 0000913699 scopus 로고
    • Partial neutral functional-differential equations
    • Hale J.K. Partial neutral functional-differential equations. Rev. Roumaine Math. Pures Appl. 39 4 (1994) 339-344
    • (1994) Rev. Roumaine Math. Pures Appl. , vol.39 , Issue.4 , pp. 339-344
    • Hale, J.K.1
  • 19
    • 0029692971 scopus 로고    scopus 로고
    • Self-sustained oscillations in a ring array of coupled lossless transmission lines
    • Wu J., and Xia H. Self-sustained oscillations in a ring array of coupled lossless transmission lines. J. Differen. Equat. 124 1 (1996) 247-278
    • (1996) J. Differen. Equat. , vol.124 , Issue.1 , pp. 247-278
    • Wu, J.1    Xia, H.2
  • 20
    • 0003345730 scopus 로고    scopus 로고
    • Theory and applications of partial functional-differential equations
    • Springer-Verlag, New York
    • Wu J. Theory and applications of partial functional-differential equations. Applied Mathematical Sciences vol. 119 (1996), Springer-Verlag, New York
    • (1996) Applied Mathematical Sciences , vol.119
    • Wu, J.1
  • 21
    • 0000308613 scopus 로고    scopus 로고
    • Existence results for partial neutral functional differential equations with unbounded delay
    • Hernández E., and Henríquez H. Existence results for partial neutral functional differential equations with unbounded delay. J. Math. Anal. Appl. 221 2 (1998) 452-475
    • (1998) J. Math. Anal. Appl. , vol.221 , Issue.2 , pp. 452-475
    • Hernández, E.1    Henríquez, H.2
  • 22
    • 0000308614 scopus 로고    scopus 로고
    • Existence of periodic solutions of partial neutral functional differential equations with unbounded delay
    • Hernández E., and Henríquez H. Existence of periodic solutions of partial neutral functional differential equations with unbounded delay. J. Math. Anal. Appl. 221 2 (1998) 499-522
    • (1998) J. Math. Anal. Appl. , vol.221 , Issue.2 , pp. 499-522
    • Hernández, E.1    Henríquez, H.2
  • 23
    • 11144356814 scopus 로고    scopus 로고
    • Existence results for partial neutral integrodifferential equations with unbounded delay
    • Hernández E. Existence results for partial neutral integrodifferential equations with unbounded delay. J. Math. Anal. Appl. 292 1 (2004) 194-210
    • (2004) J. Math. Anal. Appl. , vol.292 , Issue.1 , pp. 194-210
    • Hernández, E.1
  • 24
    • 0003316678 scopus 로고
    • Semigroups of linear operators and applications to partial differential equations
    • Springer-Verlag, New York
    • Pazy A. Semigroups of linear operators and applications to partial differential equations. Applied Mathematical Sciences vol. 44 (1983), Springer-Verlag, New York
    • (1983) Applied Mathematical Sciences , vol.44
    • Pazy, A.1
  • 25
    • 0003287113 scopus 로고
    • Functional-differential equations with infinite delay
    • Springer-Verlag, Berlin
    • Hino Y., Murakami S., and Naito T. Functional-differential equations with infinite delay. Lecture Notes in Mathematics vol. 1473 (1991), Springer-Verlag, Berlin
    • (1991) Lecture Notes in Mathematics , vol.1473
    • Hino, Y.1    Murakami, S.2    Naito, T.3


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