ACTA MATHEMATICA UNIVERSITATIS COMENIANAE

Vol. 68,   1   (1999)
pp.   137-151

A PICONE TYPE IDENTITY FOR SECOND ORDER HALF-LINEAR DIFFERENTIAL EQUATIONS
J. JAROS and T. KUSANO


Abstract.  In the paper a Picone-type identity for half-linear differential equations of second order is derived and Sturmian theory for both forced and unforced half-linear and quasilinear equations based on this identity is developed.

AMS subject classification.  34C10
Keywords.  Half-linear differential equation, Picone's identity, Wirtinger's inequality, Sturm's comparison principle, forced oscillations

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