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Singular perturbation, multiple solutions and hysteresis in a nonlinear problem

Part of the Lecture Notes in Mathematics book series (LNM,volume 594)

Keywords

  • Eigenvalue Problem
  • Perturbation Parameter
  • Minimal Solution
  • Bifurcation Parameter
  • Limit Problem

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References

  1. M.C. DUBAN, Hysteresis, oscillation et structuration en espace dans des systèmes biochimiques distribués. Thèse de 3ème cycle, Compiègne 1975.

    Google Scholar 

  2. J.P. KERNEVEZ et D. THOMAS Numerical Analysis and control of some biochemical systems, Appl. Math. and Opt. vol. 1, No 3, 1975.

    Google Scholar 

  3. A. NAPARSTEK J.L. ROMETTE, J.P. KERNEVEZ et D. THOMAS, Memory in Enzyme Membranes, Nature, 249, 490 (1974).

    CrossRef  Google Scholar 

  4. M.G. CRANDALL et P.H. RABINOWITZ Bifurcation, Perturbation of simple eigenvalues, and linearized stability. Arch. Rat. Mech. Analysis, vol.52 (1973) 161–180.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. M.G. CRANDALL et P.H. RABINOWITZ Some continuation and variational methods for positive solutions of non linear elliptic eigenvalue problems. Arch. Rat. Mech. Analysis, vol.58 (1975) 207–218.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. C.M. BRAUNER et B. NICOLAENKO, C.R.A.S. (Paris), t.283, Série A, 775–778.

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  7. C.M. BRAUNER et B. NICOLAENKO, to appear.

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  8. D.H. SATTINGER, Topics in Stability and Bifurcation Theory, Lectures Notes in Mathematics No 309, Springer-Verlag (1973).

    Google Scholar 

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© 1977 Springer-Verlag

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Brauner, C.M., Nicolaenko, B. (1977). Singular perturbation, multiple solutions and hysteresis in a nonlinear problem. In: Brauner, CM., Gay, B., Mathieu, J. (eds) Singular Perturbations and Boundary Layer Theory. Lecture Notes in Mathematics, vol 594. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086081

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  • DOI: https://doi.org/10.1007/BFb0086081

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08258-3

  • Online ISBN: 978-3-540-37340-7

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