ACTA MATHEMATICA
UNIVERSITATIS COMENIANAE




Vol. LXXX, 2 (2011)
p. 271 - 276

Comparison theorems for half-linear differential equations
of the fourth order


J. Jaroš

Received: January 9, 2011;   Accepted: May 23, 2011



Abstract.   An identity of the Picone type for fourth-order half-linear ordinary differential operators of the form
strom

where φ(u) := |u|α - 1u, α > 0, u Î R, and p, q, r, P, Q and R are continuous functions on a given interval I is derived and then Sturmian comparison theory for the corresponding fourth-order equations lα[x] = 0 and Lα[y] = 0 based on this identity is developed.

Keywords:  Picone's identity; half-linear differential equation; fourth order.  

AMS Subject classification: Primary:  34C10  



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Acta Mathematica Universitatis Comenianae
ISSN 0862-9544   (Printed edition)

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