Publication Cover
Applicable Analysis
An International Journal
Volume 54, 1994 - Issue 3-4
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Original Articles

Bifurcation of equilibrai for one–dimensional semilinear equation of the thermoelasticity

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Pages 225-236 | Published online: 02 May 2007

References

  • Carr , J. 1981 . "Applications of Centre Manifold Theory", ” . In Applied Mathematical Sciences , Vol. 35 , New York : Springer- Verlag .
  • Chafee , N. and Infante , E. 1974 . A Bifurcation Problem for a Nonlinear Partial Differential Equations of Parabolic Type . Applicable Analysis , 4 : 17 – 37 .
  • Chow , S. N. and Hale , J. K. 1982 . "Methods in Bifurcation Problems" ” . In Grund. der Math. Wissen. , Vol. 251 , New York, Heidelberg, Berlin : Springer– Verlag .
  • Dagermos , C. M. 1976 . “ Contraction Semigroups and Trend to Equilibrium in Continuum Mechanics ” . In Lectures Notes in Math. , Vol. 503 , 295 – 306 . Springer- Verlag .
  • Dafermos , C. M. 1968 . On the Existence and Asymptotic Stability of Solution to the equations of Linear Thermoelasticity . Arch. Rat. mech. anal. , 29 ( 4 ) : 241 – 271 .
  • Hale , J. K. 1989 . "Asymptotic behavior of Dissipative Systems" ” . In Math. Surveys and Monographs , Providence, RI : AMS .
  • Hale J.K. perissinotto A. Jr Global Attractor and Convergence for One- Dimensional Semilinear Thermoleasticity Dynamic System and Application- to appear
  • Henry , D. 1981 . “ Geometri Theory of Semilinear Parabolic Equations ” . In Lecture Notes in Math. , new York, , Berlin : Springer–Verlag .
  • Henry , D. 1985 . Some Infinite–Dimensional Morse–Smale Systems Defined by Parabolic Partial Differential Equations . J. Diff. Eq. , 59 : 165 – 205 .
  • Henry D. Perssinotto A. Jr Lopes O. On the Essential Spectrum of a Semigroup of Thermoeslaticity Tr. Vsesoyuzn. matem. s'ezda 519 Journal of Nonlinear Analysis- ro appear.
  • Kato , T. 1966 . "Perturbation Theory for Linear Operators", , New York, , berlin : Springer- Verlag .
  • Kim , J. U. 1990 . On the Energy Decay of a Linear thermoelastic Bar and Plate, Math. , Berkeley, CA : Science Res. Institute .
  • Mischaikow , K. Global Asymptotic Dynamics of Gradient–like Bistable Equations , Georgia Institute of Technology . preprint CDSNS92–94
  • Neves , A. , Ribeiro , H. and Lopes , O. 1986 . On the Spectrum of Evolution Operators Generated by hyperbolic Systems . J. Funct. Analysis , 67 ( 3 ) : 320 – 344 .
  • Perissinotto A. Jr Decaimento Exponencial em Termoelasticidade Linear Unidimensional e uma Aplicacáo Ph.D. Thesis ICMSC-USP SP, Brazil 1986

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