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A homotopic deformation along $p$ of a Leray-Schauder degree result and existence for $(\vert u'\vert \sp{p-2}u')'+f(t,u)=0$, $u(0)=u(T)=0$, $p>1$. (English) Zbl 0708.34019
The authors consider the boundary value problem $(\phi\sb p(u'))'+f(t,u)=0,$ $u(0)=u(T)=0$, where $f: [0,1]\times {\Bbb R}\to {\Bbb R}$ is continuous and $\phi\sb p(s)=\vert s\vert\sp{p-2}s,$ $p>1$. The problem stated is investigated by means of the Leray-Schauder homotopy method.
Reviewer: V.G.Angelov

34B15Nonlinear boundary value problems for ODE
Full Text: DOI
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