Boundary value problems for a class of first order quasilinear ordinary differential equations
Vincent Bouchez
Université Catholique de Louvain, Louvain-la-Neuve, BelgiumJean Mawhin
Université Catholique de Louvain, Belgium
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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