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Normal Hyperbolicity and Continuity of Global Attractors for a Nonlocal Evolution Equations

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  • Severino Horácio da Silva
  • Jocirei Dias Ferreira
  • Flank David Morais Bezerra

Abstract

We show the normal hyperbolicity property for the equilibria of the evolution equation and using the normal hyperbolicity property we prove the continuity (upper semicontinuity and lower semicontinuity) of the global attractors of the flow generated by this equation, with respect to functional parameter .

Suggested Citation

  • Severino Horácio da Silva & Jocirei Dias Ferreira & Flank David Morais Bezerra, 2014. "Normal Hyperbolicity and Continuity of Global Attractors for a Nonlocal Evolution Equations," International Journal of Differential Equations, Hindawi, vol. 2014, pages 1-13, April.
    • Handle: RePEc:hin:jnijde:625271
    DOI: 10.1155/2014/625271
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