Local analytic solutions to some nonhomogeneous problems with $p$-Laplacian

Applying the Briot-Bouquet theorem we show that there exists an unique analytic solution to the equation $\left( t^{n-1}\Phi _{p}\left( y^{\prime}\right) \right) ^{\prime }+(-1)^{i}t^{n-1}\Phi _{q}(y)=0$, on $(0,~a)$, where $\Phi _{r}(y):=\left\vert y\right\vert ^{r-1}y$, $0<r,p,q\in R^{+}$, $i=0...

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Bibliographic Details
Main Author: Gabriella Bognár
Format: Article
Language:English
Published: University of Szeged 2008-07-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=319