Picone identities for half-linear differential equations of fourth order
Classical Analysis and ODEs
2007-05-30 v1 Spectral Theory
Abstract
Picone-type identities are established for half-linear ODEs of fourth order (one-dimensional p-biLaplacian). It is shown that in the linear case they reduce to the known identities for fourth order linear ODEs. Picone-type identity known for two half-linear second-order equations is also generalised to set of equations greater than two.
Cite
@article{arxiv.0705.4148,
title = {Picone identities for half-linear differential equations of fourth order},
author = {L. M. Cooks and Y. A. Stepanyants},
journal= {arXiv preprint arXiv:0705.4148},
year = {2007}
}