메뉴 건너뛰기




Volumn 16, Issue 2, 2004, Pages 111-135

Analysis via integral equations of an identification problem for delay differential equations

Author keywords

[No Author keywords available]

Indexed keywords


EID: 14844343060     PISSN: 08973962     EISSN: None     Source Type: Journal    
DOI: 10.1216/jiea/1181075271     Document Type: Article
Times cited : (11)

References (21)
  • 1
    • 0027816429 scopus 로고
    • On the solvability and numerical solution of data assimilation problems
    • V.I. Agoshkov and G.I. Marchuk, On the solvability and numerical solution of data assimilation problems, Russian J. Numer. Anal. Math. Modelling 8 (1993), 1 16.
    • (1993) Russian J. Numer. Anal. Math. Modelling , vol.8 , pp. 1-16
    • Agoshkov, V.I.1    Marchuk, G.I.2
  • 3
    • 0010464866 scopus 로고    scopus 로고
    • Mathematical modelling of the interleukin-2 T-cell system: A comparative study of approaches based on ordinary and delay differential equations
    • C.T.H Baker, G.A. Bocharov and C.A.H. Paul, Mathematical modelling of the interleukin-2 T-cell system: A comparative study of approaches based on ordinary and delay differential equations, J. Theoret. Medicine 2 (1997), 117 128.
    • (1997) J. Theoret. Medicine , vol.2 , pp. 117-128
    • Baker, C.T.H.1    Bocharov, G.A.2    Paul, C.A.H.3
  • 4
    • 0032193845 scopus 로고    scopus 로고
    • Modelling and analysis of time-lags in some basic patterns of cell proliferation
    • C.T.H. Baker, G.A. Bocharov, C.A.H. Paul and F.A. Rihan, Modelling and analysis of time-lags in some basic patterns of cell proliferation, J. Math. Biol. 37 (1998), 341 371.
    • (1998) J. Math. Biol. , vol.37 , pp. 341-371
    • Baker, C.T.H.1    Bocharov, G.A.2    Paul, C.A.H.3    Rihan, F.A.4
  • 5
    • 84880433273 scopus 로고    scopus 로고
    • note
    • Computational modelling with functional differential equations: identification, selection, and sensitivity, submitted.
  • 6
    • 14844345771 scopus 로고    scopus 로고
    • A guided tour of VPF for continuous and discretized DDE
    • NA Report 430, Manchester
    • C.T.H. Baker and E.I. Parmuzin, A guided tour of VPF for continuous and discretized DDE, NA Report 430, Manchester, 2004.
    • (2004)
    • Baker, C.T.H.1    Parmuzin, E.I.2
  • 7
    • 0019634887 scopus 로고
    • Parameter estimation and identification for systems with delays
    • H.T. Banks, J.A. Burns and E.M. Cliff, Parameter estimation and identification for systems with delays, SIAM J. Control Optim. 19 (1981), 791 828.
    • (1981) SIAM J. Control Optim. , vol.19 , pp. 791-828
    • Banks, H.T.1    Burns, J.A.2    Cliff, E.M.3
  • 8
    • 0004021383 scopus 로고
    • Inverse and ill-posed problems
    • Academic Press, Boston
    • H.W. Engl and C.W. Groetsch, eds., Inverse and ill-posed problems, Academic Press, Boston, 1987.
    • (1987)
    • Engl, H.W.1    Groetsch, C.W.2
  • 10
    • 0003817598 scopus 로고
    • Differential equations: Stability, oscillation, time lag
    • Academic Press, New York
    • A. Halanay, Differential equations: Stability, oscillation, time lag, Academic Press, New York, 1966.
    • (1966)
    • Halanay, A.1
  • 11
    • 0003492060 scopus 로고
    • Theory of functional Differential Equations
    • Springer, New York
    • J. Hale, Theory of functional Differential Equations, Springer, New York, 1977.
    • (1977)
    • Hale, J.1
  • 13
    • 85053490095 scopus 로고    scopus 로고
    • Convergence of regularized solutions of nonlinear illposed problems with monotone operators
    • Dekker, New York
    • F. Liu and M.Z. Nashed, Convergence of regularized solutions of nonlinear illposed problems with monotone operators, Lecture Notes in Pure and Appl. Math., vol. 177, Dekker, New York, 1996, 353 361.
    • (1996) Lecture Notes in Pure and Appl. Math. , vol.177 , pp. 353-361
    • Liu, F.1    Nashed, M.Z.2
  • 14
    • 0035440037 scopus 로고    scopus 로고
    • Parameter identifiability of differential delay equations Internat
    • S. Verduyn Lunel, Parameter identifiability of differential delay equations Internat. J. Adapt. Control Signal Process. 15 (2001), 655 678.
    • (2001) J. Adapt. Control Signal Process , vol.15 , pp. 655-678
    • Verduyn Lunel, S.1
  • 15
    • 85067983456 scopus 로고    scopus 로고
    • Partial differential equations and applications
    • Marcel Dekker, New York,. ISBN 0-8247-9698-5
    • P. Marcellini, G.G. Talenti and E. Vesentini, eds., Partial differential equations and applications, Lecture Notes in Pure and Appl. Math., vol. 177, Marcel Dekker, New York, 1996. ISBN 0-8247-9698-5
    • (1996) Lecture Notes in Pure and Appl. Math. , vol.177
    • Marcellini, P.1    Talenti, G.G.2    Vesentini, E.3
  • 16
    • 33748685740 scopus 로고    scopus 로고
    • Numerical algorithms for solving a problem of data assimilation
    • E.I. Parmuzin and V.P. Shutyaev, Numerical algorithms for solving a problem of data assimilation, Zh. Vychisl. Mat. i Mat. Fiz. 37 (1997), 816 827.
    • (1997) Zh. Vychisl. Mat. i Mat. Fiz. , vol.37 , pp. 816-827
    • Parmuzin, E.I.1    Shutyaev, V.P.2
  • 17
    • 0003377595 scopus 로고    scopus 로고
    • Numerical analysis of iterative methods for solving evolution data assimilation problems
    • Numerical analysis of iterative methods for solving evolution data assimilation problems, Russian J. Numer. Anal. Math. Modelling 14 (1999), 275 289.
    • (1999) Russian J. Numer. Anal. Math. Modelling , vol.14 , pp. 275-289
  • 18
    • 0034905213 scopus 로고    scopus 로고
    • Control operators and iterative algorithms in variational data assimilation problems
    • V. Shutyaev, Control operators and iterative algorithms in variational data assimilation problems, J. Inverse Ill-Posed Probl. 9 (2001), 177 188.
    • (2001) J. Inverse Ill-Posed Probl , vol.9 , pp. 177-188
    • Shutyaev, V.1
  • 19
    • 0036469711 scopus 로고    scopus 로고
    • On the method of Lavrentiev regularization for nonlinear ill-posed problems
    • U. Tautenhahn, On the method of Lavrentiev regularization for nonlinear ill-posed problems, Inverse Problems 18 (2002), 191 207.
    • (2002) Inverse Problems , vol.18 , pp. 191-207
    • Tautenhahn, U.1
  • 21
    • 0342868259 scopus 로고
    • On the optimality of regularization methods
    • G. Vainikko, On the optimality of regularization methods, Engl-Groetsch, 1987, pp. 77 95.
    • (1987) Engl-Groetsch , pp. 77-95
    • Vainikko, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.