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Topological invariants in nonlinear boundary value problems

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  • Vinagre, Sandra
  • Severino, Ricardo
  • Ramos, J. Sousa

Abstract

We consider a class of boundary value problems for partial differential equations, whose solutions are, basically, characterized by the iteration of a nonlinear function. We apply methods of symbolic dynamics of discrete bimodal maps in the interval in order to give a topological characterization of its solutions.

Suggested Citation

  • Vinagre, Sandra & Severino, Ricardo & Ramos, J. Sousa, 2005. "Topological invariants in nonlinear boundary value problems," Chaos, Solitons & Fractals, Elsevier, vol. 25(1), pages 65-78.
    • Handle: RePEc:eee:chsofr:v:25:y:2005:i:1:p:65-78
    DOI: 10.1016/j.chaos.2004.11.043
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    1. ,, 1999. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 15(5), pages 777-788, October.
    2. ,, 1999. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 15(1), pages 151-160, February.
    3. ,, 1999. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 15(3), pages 427-432, June.
    4. ,, 1999. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 15(4), pages 629-637, August.
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    Cited by:

    1. Al-Khaled, Kamel, 2007. "Theory and computation in singular boundary value problems," Chaos, Solitons & Fractals, Elsevier, vol. 33(2), pages 678-684.
    2. Maria F. Correia & Carlos C. Ramos & Sandra Vinagre, 2012. "Iteration of Differentiable Functions under m -Modal Maps with Aperiodic Kneading Sequences," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-17, August.

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