Publication Cover
Applicable Analysis
An International Journal
Volume 36, 1990 - Issue 3-4
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Original Articles

Existence of stable stationary solutions of scalar reaction-diffusion equations in thin tubular domains

Pages 171-188 | Received 18 Sep 1989, Published online: 02 May 2007

References

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  • Matano , H. 1979 . Asymptotic behavior and stability of solutions of semilinear diffusion equations . Publ. Res. Inst. Math. Sci , 15 : 401 – 454 .
  • Matano , H. 1984 . Existence of nontrivial unstable sets for equilibriums of strongly order-preserving systems . J. Fac. Sci , 30 : 645 – 673 .
  • Sattinger , D. H. 1972 . Monotone methods in nonlinear elliptic and parabolic boundary value problems . Math. J , 21 : 979 – 1000 .
  • Williams , W. E. 1980 . Partial Differential Equations , Oxford : Claredon Press .
  • Yanagida , E. 1982 . Stability of stationary distributions in a space-dependent population growth process . J. Math. Biol , 15 : 37 – 50 .

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