A remark on connection between conjugacy of half-linear differential equation and equation with mixed nonlinearities

In this paper new criteria for conjugacy of half-linear ordinary differential equations are derived by using a Riccati transformation. These criteria are used to derive nonexistence and oscillation results for an equation with mixed nonlinearities, which is viewed as a perturbation of a half-linear...

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Bibliographic Details
Published in:Applied mathematics letters 2011-02, Vol.24 (2), p.93-96
Main Author: MARIK, Robert
Format: Article
Language:English
Subjects:
Conjugacy
Criteria
Differential equations
Exact sciences and technology
Half-linear differential equation
Joints
Mathematical analysis
Mathematics
Mixed powers
Nonlinearity
Numerical analysis
Numerical analysis. Scientific computation
Ordinary differential equations
Oscillation
Oscillations
Perturbation methods
Sciences and techniques of general use
Second order equation
Transformations
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Summary:In this paper new criteria for conjugacy of half-linear ordinary differential equations are derived by using a Riccati transformation. These criteria are used to derive nonexistence and oscillation results for an equation with mixed nonlinearities, which is viewed as a perturbation of a half-linear equation.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2010.08.024