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Stability and bifurcation problems for reaction-diffusion systems with unilateral conditions

Lectures Presented In Sections

Part of the Lecture Notes in Mathematics book series (LNM,volume 1192)

Keywords

  • Bifurcation Point
  • Trivial Solution
  • Destabilize Effect
  • Boundary Condition
  • Closed Convex Cone

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References

  1. DANCER, E. N.: On the structure of solutions of non-linear eigenvalue problems. Ind. Univ. Math. J. 23 (1974), 1069–1076.

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  2. DRÁBEK, P. and KUČERA, M.: Eigenvalues of inequalities of reaction-diffusion type and destabilizing effect of unilateral conditions. 36(111), 1986,Czechoslovak Math. J. 36 (111), 1986, 116–130.

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  3. DRÁBEK, P. and KUČERA,M.: Reaction-diffusion systems: Destabilizing effect of unilateral conditions. To appear.

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  4. DRÁBEK, P., KUČERA, M. and MÍKOVÁ, M.: Bifurcation points of reaction-diffusion systems with unilateral conditions. Czechoslovak Math. J. 35 (110), 1985, 639–660.

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  5. KUČERA, M.: Bifurcation points of variational inequalities. Czechoslovak Math. J. 32 (107), 1982, 208–226.

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  6. KUČERA, M.: Bifurcation points of inequalities of reaction-diffusion type. To appear.

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  7. KUČERA, M. and NEUSTUPA, J.: Destabilizing effect of unilateral conditions in reaction-diffusion systems. To appear in Comment. Math. Univ. Carol. 27 (1986), 171–187.

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  8. MIMURA, M. and NISHIURA, Y.: Spatial patterns for an interaction-diffusion equations in morphogenesis. J. Math. Biology 7, 243–263, (1979).

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© 1986 Equadiff 6 and Springer-Verlag

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Kučera, M. (1986). Stability and bifurcation problems for reaction-diffusion systems with unilateral conditions. In: Vosmanský, J., Zlámal, M. (eds) Equadiff 6. Lecture Notes in Mathematics, vol 1192. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076074

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  • DOI: https://doi.org/10.1007/BFb0076074

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16469-2

  • Online ISBN: 978-3-540-39807-3

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