Abstract
Several comparison theorems with respect to powers in nonlinearities for half-linear differential equations are presented. The Riccati transformation and the reciprocity principle are utilized. Some examples and an integral extension of the classical comparison result are presented as well.
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Supported by the Grants KJB100190701 of the Grant Agency of ASCR and 201/07/0145 of the Czech Grant Agency, and by the Institutional Research Plan AV0Z010190503.
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Řehák, P. Comparison of nonlinearities in oscillation theory of half-linear differential equations. Acta Math Hung 121, 93–105 (2008). https://doi.org/10.1007/s10474-008-7181-z
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DOI: https://doi.org/10.1007/s10474-008-7181-z
Key words and phrases
- half-linear differential equation
- comparison theorem
- (non)oscillation
- Riccati technique
- reciprocity principle