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Zbl 1116.34030
Sugie, J.; Yamaoka, N.
Comparison theorems for oscillation of second order half-linear differential equations.
(English)
[J] Acta Math. Hung. 111, No. 1-2, 165-179 (2006). ISSN 0236-5294; ISSN 1588-2632/e

There are established new comparison theorems on the oscillation of solutions of a class of perturbed half-linear differential equation. Connections between half-linear differential equation and linear differential equations are found. The comparison theorems from this work are not of Sturm type or Hill-Wintner type, but the main results are applied in combination with Sturm or Hille-Wintner comparison theorems to the half-linear differential equation of the general form $$\left(\vert x'\vert ^{\alpha-1} x\right)'+a(t)\vert x\vert ^{\alpha-1} x=0$$
[Vasile Marinca (Timisoara)]
MSC 2000:
*34C10 Qualitative theory of oscillations of ODE: Zeros, etc.

Keywords: perturbation; differential inequalities

Cited in: Zbl 1199.34168

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