Continuous dependence for implicit differential equations in Banach spaces

• Autores: Tomás Domínguez Benavides
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 31, Fasc. 3, 1980, págs. 205-216
• Idioma: inglés
• Títulos paralelos:
  • Dependencia continua para ecuaciones diferenciales implícitas en espacios de Banach
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• Resumen

  • In this paper we derive an existence theorem for the implicit defferential equation F (t,x,x') = 0 ; x(t0)=x0 where F is a B-Lipschitz or alpha-Lipschitz operator in the second variable. The existence of maximal and unlimited solution is studied and a continuous dependence theorem is proved.