JournalszaaVol. 16, No. 3pp. 621–630

About the Existence of Solutions of a Boundary Value Problem for a Carathéodory Differential System

  • G. Anichini

    Università di Modena e Reggio Emilia, Italy
  • Giuseppe Conti

    Università degli Studi di Firenze, Italy
About the Existence of Solutions of a Boundary Value Problem for a Carathéodory Differential System cover
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Abstract

A boundary value problem of the form x=f(t,x),xSx’ = f(t,x), x \in S is considered where ff is a Carathéodory function and SS is a suitable boundary constraint. A related integral equation with an exact number of solutions is studied, in order to show the existence of solutions of the boundary value problem through a fixed point theorem for ww-maps in the Darbo sense.

Cite this article

G. Anichini, Giuseppe Conti, About the Existence of Solutions of a Boundary Value Problem for a Carathéodory Differential System. Z. Anal. Anwend. 16 (1997), no. 3, pp. 621–630

DOI 10.4171/ZAA/781