Picone identities for half-linear differential equations of fourth order

Details Picone identities for half-linear differential equations of fourth order Picone identities for half-linear differential equations of fourth order

2007-05-29

arxiv.org/abs/0705.4148v1

Mathematics

Classical Analysis and ODEs

Scientific paper

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.

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