Boundary value problems for a class of first order quasilinear ordinary differential equations

  • Vincent Bouchez

    Université Catholique de Louvain, Louvain-la-Neuve, Belgium
  • Jean Mawhin

    Université Catholique de Louvain, Belgium

Abstract

Using continuation theorems of Leray-Schauder degree theory, we obtain existence results for the first order quasilinear boundary value problem

where is an homeomorphism such that and is a continuous function, and being positive real numbers and some non zero real number.

Cite this article

Vincent Bouchez, Jean Mawhin, Boundary value problems for a class of first order quasilinear ordinary differential equations. Port. Math. 71 (2014), no. 3/4, pp. 217–247

DOI 10.4171/PM/1951