Existence results for some nonlinear problems with $\phi$-Laplacian

Existence results for some nonlinear problems with $\phi$-Laplacian

Using the barrier strip argument, we obtain the existence of solutions for the nonlinear boundary value problem $$ (\phi(u'))'=f(t,u,u'),\qquad u(0)=A,\qquad u'(1)=B, $$ where $\phi$ is an increasing homeomorphism.

Bibliographic Details
Main Authors: Ruyun Ma, Lu Zhang, Ruikuan Liu
Format: Article
Language:English
Published: University of Szeged 2015-05-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
barrier strip
$\phi$-laplacian
topological transversality theorem
existence
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=3356

Internet

http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=3356

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