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

##### MSC:
 34B15 Nonlinear boundary value problems for ordinary differential equations
##### Keywords:
Leray-Schauder homotopy method
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##### References:
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