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Stability theory for general dynamical systems and some applications

  • E. F. Infante
Part 2. Stability Problems
Part of the Lecture Notes in Physics book series (LNP, volume 21)

Keywords

Banach Space Equilibrium Solution Stability Theory Functional Differential Equation Sector Criterion 
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References

  1. [1]
    Admvuson, N. R. and L. R. Raymond; AICHE J., 11, 339–362, (1965).CrossRefGoogle Scholar
  2. [2]
    Brayton, R. K.; Quarterly Appl. Math., 4, (1966).Google Scholar
  3. [3]
    Brayton, R. K. and W. L. Miranker; Arch. Rat. Mech. and Anal., 17, 61–73, (1964).Google Scholar
  4. [4]
    Brockett, R. W.; IEEE Tr. Aut. Cont., 11, 596–606, (1966).CrossRefGoogle Scholar
  5. [5]
    Chafee, N. and E. F. Infante Applicable Math., to appear.Google Scholar
  6. [6]
    Dafermos, C. M.; Arch. Rat. Mech. and Anal., 29, 241–271, (1968).Google Scholar
  7. [7]
    Eriksen, J. L.; Int. J. Solids and Structures, 2, 573–580, (1966).CrossRefGoogle Scholar
  8. [8]
    Fichera, G.; Lectures on Elliptic Boundary Differential Systems and Eigenvalue Problems, Springer-Verlag, 1965, p. 21.Google Scholar
  9. [9]
    Hale, J. K.; J. Math. Anal. and Appl., 26, 39–59, (1969).CrossRefGoogle Scholar
  10. [10]
    Hale, J. K. and M. Cruz; J. Diff. Eqns., 7, 334–355, (1970).CrossRefGoogle Scholar
  11. [11]
    Hale, J. K. and E. F. Infante; Proc. Nat. Acad. Sci., 58, 405–409, (1967).Google Scholar
  12. [12]
    Hale, J. K. and C. Imaz; Bul. Soc. Mat. Mex., 29–37, (1967).Google Scholar
  13. [13]
    Holtzman, J. M.; Nonlinear System Theory, Prentice-Hall, (1970).Google Scholar
  14. [14]
    LaSalle, J. P.; Int. Symp. Diff. Eqns. and Dym. Systems, Academic Press, 1967, p. 277.Google Scholar
  15. [15]
    Matkowsky, B. J.; Bull. A. M. S., 76, 620–625, (1970).Google Scholar
  16. [16]
    Moser, J.; Quarterly Appl. Math., 25, 1–9, (1967).Google Scholar
  17. [17]
    Slemrod, M.; J. Math. Anal. and Appl., to appear.Google Scholar
  18. [18]
    Slemrod, M. and E. F. Infante; Proc. IUTAM Symp. on Inst. Cont. Systems, Springer-Verlag, to appear.Google Scholar
  19. [19]
    Sobolev, S. L.; Appl. of Funct. Anal. in Mat. Physics, Trans. Mat. Monographs, A. M. S., (1969).Google Scholar
  20. [20]
    Urabe, M.; Army Math. Res. Center T. S. R. #437, (1963).Google Scholar

Copyright information

© Springer Verlag 1973

Authors and Affiliations

  • E. F. Infante
    • 1
  1. 1.Center for Dynamical Systems Division of Applied MathematicsBrown UniversityProvidence

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