Oscillation criteria for perturbed half-linear differential equations

Author:

Naito Manabu1

Affiliation:

1. Ehime University

Abstract

Oscillatory properties of perturbed half-linear differential equations are investigated. We make use of the modified Riccati technique. A certain linear differential equation associated with the modified Riccati equation plays an important part. Improved oscillation criteria for a perturbed half-linear Riemann–Weber differential equation can be obtained.

Publisher

University of Szeged

Reference16 articles.

1. Z. Dosla, O. Dosly, Principal solution of half-linear differential equation: limit and integral characterization, Electron. J. Qual. Theory Differ. Equ. 2008, No. 7, 1--14.

2. Perturbations of the half-linear Euler–Weber type differential equation

3. O. Dosly, A remark on the linearization technique in half-linear oscillation theory, Opuscula Math. 26(2006), 305--315.

4. Half-linear Euler differential equation and its perturbations

5. INTEGRAL CHARACTERIZATION OF THE PRINCIPAL SOLUTION O HALF-LINEAR SECOND ORDER DIF ERENTIAL EQUATIONS

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