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

Bouchez, Vincent; Mawhin, Jean

doi:10.4171/PM/1951

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

Bouchez, Vincent

;

Mawhin, Jean

(2014) Portugaliae Mathematica — Vol. 71, n° 3-4, p. 217-247 (2014)

Files

No attached file found for this publication.

Details

Authors

Bouchez, VincentUCLouvain
Author
Mawhin, JeanUCLouvain
Author

Abstract

Using continuation theorems of Leray-Schauder degree theory, we obtain existence results for the first order quasilinear boundary value problem (Φ(u))=f (t,u), u(T)=bu(0), where Φ : R → (-a,a) is an homeomorphism such that Φ(0)= 0 and f :[0.T] × R → R is a continuous function, a and T being positive real numbers and b some non zero real number.

Affiliations

UCLouvainSST/ICTM - Institute of Information and Communication Technologies, Electronics and Applied Mathematics

Citations

APA
Chicago
FWB

Bouchez, V., & Mawhin, J. (2014). Boundary value problems for a class of first order quasilinear ordinary differential equations. Portugaliae Mathematica, 71(3-4), 217-247. https://doi.org/10.4171/PM/1951 (Original work published 2014)