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Zbl 0708.34019
del Pino, Manuel A.; Elgueta, Manuel; Manásevich, Raúl
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)
[J] J. Differ. Equations 80, No. 1, 1-13 (1989). ISSN 0022-0396

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.
[V.G.Angelov]
MSC 2000:
*34B15 Nonlinear boundary value problems of ODE

Keywords: Leray-Schauder homotopy method

Cited in: Zbl 0869.34015

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