Discontinuous solutions of neutral functional differential equations

• Autores: L. Fichmann, J. C. F. De Oliveira
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 37, Nº 2, 1993, págs. 369-386
• Idioma: inglés
• DOI: 10.5565/publmat_37293_11
• Títulos paralelos:
  • Soluciones discontinuas de ecuaciones diferenciales funcionales neutras
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• Resumen

  • The fundamental theory of existence, uniqueness and continuous differentiability of Lp-solutions for Neutral Functional Differential Equations is presented. Also, the spectrum of the solution operator of general autonomous linear NFDEs is described. Finally, an extension of Hartman Grobman Theorem on local conjugacy near a hyperbolic equilibrium is proved.