ACTA MATHEMATICA UNIVERSITATIS COMENIANAE

Vol. 69,   1   (2000)
pp.   107-113

FORCED SUPERLINEAR OSCILLATIONS VIA PICONE'S IDENTITY
J. JAROS, T. KUSANO and N. YOSHIDA


Abstract.  In the paper a nonlinear version of an identity known in the literature as the Picone's formula is derived and then it is used to extend the classical Sturmian comparison theory to forced superlinear equations of the second order.

AMS subject classification.  34C10
Keywords.  Forced superlinear equation, Picone's identity, Sturmian comparison theorems

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