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Applicable Analysis
An International Journal
Volume 80, 2001 - Issue 3-4
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Original Articles

The algebraic multiplicity of the complex eigenvalues of population operator and its application

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Pages 257-268 | Received 10 Oct 1999, Published online: 20 Feb 2008

  • Song , J. and Yu , J.Y. 1980 . Notes on the stability of population system and the critical fertility rate of females . Bulletin in Science (in Chinese) , 25 : 1061 – 1062 .
  • Song , J. and Yu , J.Y. 1981 . On Stability of population systems and ciritcal fertility rates . Mathematical Modelling , 2 ( 2 )
  • Song , J. and Yu , J.Y. 1988 . Population System Control , Springer-Verlag .
  • Webb , G. 1985 . Theory of nonlinear age-dependent population dynamics , Pure and Applied Mathematics Series Marcel-Dekker .
  • Iannelli M. Mathematical Theory of Age-structures Population Dynamics. Applied Mathematics Monographs Giardini Editori e Stampatori in Pisa 1994 Comitao Nazionale per le Scienze Mathematiche, Consiglio Nazionale delle Ricerce,.
  • Song , J. , Yu , J.Y. , Hu , S.J. and Zhu , G.T. 1982 . Spectral properties of population operators and asymptotic behavior of population semigroups . Acta Mathematica Scientia , 2 ( 2 ) : 139 – 148 .
  • Song , J. , Yu , J.Y. , Liu , C.K. , Zhang , L.P. and Zhu , G.T. 1986 . Spectral properties of population evolution and controllability of population system . Scientia Sinica , 8 ( 2 ) : 800 – 812 . series A
  • Yu , J.Y. , Guo , B.Z. and Zhu , G.T. 1987 . Asymptotic expansion in L[0,rm] for the population evolution and controllability of the population system . J. Sys. Sci. and Math. Sci. (in Chinese) , 7 ( 2 ) : 97 – 104 .
  • Clements , P. 1987 . One-Parameter Semigroups , North Holland .
  • Pazy , A. 1983 . Semigroup of Linear Operator and Application to Partial Differential Equations , Springer-Verlag .
  • Zhang , L.P. 1999 . The spectrum properties of population operator . J. Sys. Sci. and Math. Sci., (in Chiense) , 19 ( 3 ) : 371 – 377 .
  • Hille , E. and Phillips , R.S. 1957 . Functional Analysis and Semigroups , Vol. 31 , Amer. Math. Soc. Coll. Publ. .

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