Principal solution of half-linear differential equation: Limit and integral characterization

Z. Dosla, Masaryk University, Brno, Czech Republic
O. Dosly, Masaryk University, Brno, Czech Republic

E. J. Qualitative Theory of Diff. Equ., Proc. 8'th Coll. Qualitative Theory of Diff. Equ., No. 7. (2008), pp. 1-14.

Abstract: We investigate integral and limit characterizations of the principal solution of the nonoscillatory half-linear differential equation
$$ (r(t)\Phi(x'))'+c(t)\Phi(x)=0,\quad \Phi(x)=|x|^{p-2},\ p>1 $$. In particular, we supplement and extend the results of the previous papers.

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