In this paper we study extremal properties of functional associated with the half–linear second order differential equation E$_p$. Necessary and sufficient condition for nonnegativity of this functional is given in two special cases: the first case is when both points are regular and the second is the case, when one end point is singular. The obtained results extend the theory of quadratic functionals.
@article{107693,
author = {Robert Ma\v r\'\i k},
title = {Nonnegativity of functionals corresponding to the second order half-linear differential equation},
journal = {Archivum Mathematicum},
volume = {035},
year = {1999},
pages = {155-164},
zbl = {1055.49012},
mrnumber = {1711728},
language = {en},
url = {http://dml.mathdoc.fr/item/107693}
}
Mařík, Robert. Nonnegativity of functionals corresponding to the second order half-linear differential equation. Archivum Mathematicum, Tome 035 (1999) pp. 155-164. http://gdmltest.u-ga.fr/item/107693/
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