Abstract
Using Leray-Schauder degree theory we obtain various existence results for nonlinear boundary-value problems \begin{eqnarray*} (\phi(u'))'=f(t, u, u'),\quad l(u, u')=0 \end{eqnarray*} where $l(u, u')=0$ denotes the periodic, Neumann or Dirichlet boundary conditions on $[0,T],$ $\phi:\mathbb{R}\rightarrow (-a,a)$ is a homeomorphism, $\phi(0)=0.$
Citation
C. Bereanu. J. Mawhin. "Boundary-value problems with non-surjective $\phi$-Laplacian and one-sided bounded nonlinearity." Adv. Differential Equations 11 (1) 35 - 60, 2006. https://doi.org/10.57262/ade/1355867723
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