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arxiv: 0705.4148 · v1 · submitted 2007-05-29 · 🧮 math.CA · math.SP

Picone identities for half-linear differential equations of fourth order

classification 🧮 math.CA math.SP
keywords equationsfourthhalf-linearidentitiesorderknownlinearodes
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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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