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Volumn 11, Issue 1, 2010, Pages 60-66

A new approach to the existence, nonexistence and uniqueness of positive almost periodic solution for a model of Hematopoiesis

Author keywords

Almost periodic solution; Cone; Contraction mapping; Fixed point theorem in cone

Indexed keywords

ALMOST PERIODIC; ALMOST PERIODIC FUNCTION; ALMOST PERIODIC SOLUTION; ALMOST PERIODIC SOLUTIONS; CLASSICAL METHODS; COINCIDENCE DEGREE; COMPACT CONDITION; CONTRACTION MAPPING; CONTRACTION MAPPING PRINCIPLES; FIXED POINT THEOREM IN CONE; FIXED POINT THEOREMS; LYAPUNOV FUNCTIONALS; NEW APPROACHES; SCHAUDER'S FIXED POINT THEOREM; SUFFICIENT CONDITIONS;

EID: 70350710601     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2008.10.015     Document Type: Article
Times cited : (36)

References (19)
  • 1
    • 0003451932 scopus 로고
    • Springer-Verlag, Berlin
    • Coppel W.A. Dichotomies in Stability Theory. Lecture Notes in Mathematics vol. 629 (1978), Springer-Verlag, Berlin
    • (1978) Lecture Notes in Mathematics , vol.629
    • Coppel, W.A.1
  • 2
    • 0003451932 scopus 로고
    • Springer-Verlag, New York
    • Fink A.M. Almost Periodic Differential Equations. Lecture Notes in Mathematics vol. 377 (1974), Springer-Verlag, New York
    • (1974) Lecture Notes in Mathematics , vol.377
    • Fink, A.M.1
  • 6
    • 0347242222 scopus 로고    scopus 로고
    • Existence of positive periodic solutions for Volterra intergo-differential equations
    • Jiang D., and Wei J. Existence of positive periodic solutions for Volterra intergo-differential equations. Acta Mathematica Scientia 21B 4 (2001) 553-560
    • (2001) Acta Mathematica Scientia , vol.21 B , Issue.4 , pp. 553-560
    • Jiang, D.1    Wei, J.2
  • 7
    • 2042532204 scopus 로고    scopus 로고
    • Existence of positive periodic solutions of nonautonomous differential equations with delay
    • (in Chinese)
    • Jiang D., and Wei J. Existence of positive periodic solutions of nonautonomous differential equations with delay. Chinese Annals of Mathematics 20A 6 (1999) 715-720 (in Chinese)
    • (1999) Chinese Annals of Mathematics , vol.20 A , Issue.6 , pp. 715-720
    • Jiang, D.1    Wei, J.2
  • 10
    • 2342467505 scopus 로고    scopus 로고
    • Existence and uniqueness of positive periodic solutions of functional differential equations
    • Liu X.-L., and Li W.-T. Existence and uniqueness of positive periodic solutions of functional differential equations. Journal of Mathematical Analysis and Applications 293 (2004) 28-39
    • (2004) Journal of Mathematical Analysis and Applications , vol.293 , pp. 28-39
    • Liu, X.-L.1    Li, W.-T.2
  • 11
    • 0017714604 scopus 로고
    • Oscillation and chaos in physiological control system
    • Mackey M.C., and Glass L. Oscillation and chaos in physiological control system. Science 197 (1977) 287-289
    • (1977) Science , vol.197 , pp. 287-289
    • Mackey, M.C.1    Glass, L.2
  • 12
    • 0037609576 scopus 로고    scopus 로고
    • Oscillation and global attractivity in hematopoiesis model with periodic coefficients
    • Saker S.H. Oscillation and global attractivity in hematopoiesis model with periodic coefficients. Applied Mathematics and Computation 142 (2003) 477-494
    • (2003) Applied Mathematics and Computation , vol.142 , pp. 477-494
    • Saker, S.H.1
  • 13
    • 28244446354 scopus 로고    scopus 로고
    • Periodic solutions of a nonautonomous periodic model of population with continuous and discrete time
    • Song Y., and Peng Y. Periodic solutions of a nonautonomous periodic model of population with continuous and discrete time. Journal of Computational and Applied Mathematics 188 (2006) 256-264
    • (2006) Journal of Computational and Applied Mathematics , vol.188 , pp. 256-264
    • Song, Y.1    Peng, Y.2
  • 14
    • 3242875514 scopus 로고    scopus 로고
    • A new existence theory for positive periodic solutions to functional differential equations
    • Wan A., Jiang D., and Xu X. A new existence theory for positive periodic solutions to functional differential equations. Computers and Mathematics with Applications 47 (2004) 1257-1262
    • (2004) Computers and Mathematics with Applications , vol.47 , pp. 1257-1262
    • Wan, A.1    Jiang, D.2    Xu, X.3
  • 15
    • 3543075159 scopus 로고    scopus 로고
    • Positive periodic solutions of functional differential equations
    • Wang H. Positive periodic solutions of functional differential equations. J. Differential Equations 202 (2004) 354-366
    • (2004) J. Differential Equations , vol.202 , pp. 354-366
    • Wang, H.1
  • 16
    • 34250643153 scopus 로고    scopus 로고
    • Globally dynamical behaviors for a class of nonlinear functional difference equation with almost periodic coefficients
    • Wang X., and Li Z.X. Globally dynamical behaviors for a class of nonlinear functional difference equation with almost periodic coefficients. Applied Mathematics and Computation 190 (2007) 1116-1124
    • (2007) Applied Mathematics and Computation , vol.190 , pp. 1116-1124
    • Wang, X.1    Li, Z.X.2
  • 17
    • 34547152112 scopus 로고    scopus 로고
    • A necessary and sufficient condition for the existence of positive periodic solutions of a model of hematopoiesis
    • Wu X., Li J., and Zhou H. A necessary and sufficient condition for the existence of positive periodic solutions of a model of hematopoiesis. Computers and Mathematics with Applications 54 6 (2007) 840-849
    • (2007) Computers and Mathematics with Applications , vol.54 , Issue.6 , pp. 840-849
    • Wu, X.1    Li, J.2    Zhou, H.3
  • 18
    • 14644403100 scopus 로고    scopus 로고
    • On the positive almost periodic type solutions for some nonlinear delay integral equations
    • Xu B., and Yuan R. On the positive almost periodic type solutions for some nonlinear delay integral equations. Journal of Mathematical Analysis and Applications 304 (2005) 249-268
    • (2005) Journal of Mathematical Analysis and Applications , vol.304 , pp. 249-268
    • Xu, B.1    Yuan, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.