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Autonomous dissipative systems

  • C. Asymptotic Behavior
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Nonlinear Evolution Equations — Global Behavior of Solutions

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 841))

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Bibliography for chapter C, I

  1. L. Amerio, G. Prouse, Abstract Almost Periodic Functions and Functional Equations, Van Nostrand, 1971.

    Google Scholar 

  2. J.B. Baillon, Un exemple concernant le comportement asymptotique de la solution du probleme du/dt + ∂ϕ(u) ∋ 0, J. Funct. Anal., 28, 369–376 (1978).

    Article  MathSciNet  MATH  Google Scholar 

  3. J.B. Baillon, H. Brézis, Une remarque sur le comportement asymptotique des semi-groupes non linéaires, Houston, J. Math. 2, 5–7 (1976).

    MathSciNet  MATH  Google Scholar 

  4. H. Brézis, Operateurs maximaux monotones, North-Holland Publishing Company, Amstersdam, London 1973.

    MATH  Google Scholar 

  5. H. Brézis, Monotonicity methods in Hilbert spaces and some applications to nonlinear partial differential equations. "Contributions to nonlinear functional analysis" (E.H. Zarantonello, Ed.), Academic Press, New York (1971), 101–156.

    Google Scholar 

  6. R. Bruck, Asymptotic convergence of nonlinear contraction semi-groups in Hilbert spaces, J. Funct. Anal., 18, 15–26 (1975).

    Article  MathSciNet  MATH  Google Scholar 

  7. H. Cabannes, Mouvement d'une corde vibrante soumise à un frottement solide, C.R.A.S. Paris, A, t.287 (1978), 671–673.

    MathSciNet  MATH  Google Scholar 

  8. C.M. Dafermos, Contraction semi-groups and trend to equilibrium in continuum mechanics. Springer Lecture Notes in Math., No. 503 (1976), 295–306.

    Google Scholar 

  9. C.M. Dafermos, Asymptotic Behavior of Solutions of Evolution Equations, in "Nonlinear Evolution Equations" (M.G. Crandall, Ed.), 103–123, Academic Press, New York 1978.

    Google Scholar 

  10. C.M. Dafermos, M. Slemrod, Asymptotic behavior of nonlinear contraction semigroups, J. Funct. Anal. 13(1973), 97–106.

    Article  MathSciNet  MATH  Google Scholar 

  11. A.M. Fink, Almost-periodic differential equations, Lecture Notes in Math. 377, Springer (1974).

    Google Scholar 

  12. A. Haraux, Comportement a l'infini pour certains systèmes dissipatifs nonlinéaires, to appear in Proc. Royal Soc. of Edinburgh, 84A (1979), 213–234.

    Article  MathSciNet  MATH  Google Scholar 

  13. A. Haraux, Comportement a l'infini pour une équation d'ondes nonlinéaire dissipative, CRAS, Paris, serie A, t.287 (1978), 507–509.

    MathSciNet  MATH  Google Scholar 

  14. A. Haraux, Semi-groupes linéaires et équations d'évolution linéaires periodiques, Univ. P et M. Curie, 1978.

    Google Scholar 

  15. J.P. LaSalle, The Stability of Dynamical Systems, SIAM regional conference series in Applied Math. 25 (1976).

    Google Scholar 

  16. G. Moroşanu, Asymptotic behavior of solutions of differential equations associated to monotone operators, Nonlinear Analysis, Theory, Methods and Applications, 3, 6, 873–883 (1979).

    MATH  Google Scholar 

  17. Z. Opial, Weak convergence of the sequence of successive approximations for nonexpansive mappings, Bull. Amer. Math. Soc. 73 (1967), 591–597.

    Article  MathSciNet  MATH  Google Scholar 

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Authors
  1. Alain Haraux
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© 1981 Springer-Verlag

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Haraux, A. (1981). Autonomous dissipative systems. In: Nonlinear Evolution Equations — Global Behavior of Solutions. Lecture Notes in Mathematics, vol 841. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089615

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  • DOI: https://doi.org/10.1007/BFb0089615

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  • Print ISBN: 978-3-540-10563-3

  • Online ISBN: 978-3-540-38534-9

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