On constants in nonoscillation criteria for half-linear differential equations (Q657148)
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scientific article; zbMATH DE number 5997815
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On constants in nonoscillation criteria for half-linear differential equations |
scientific article; zbMATH DE number 5997815 |
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On constants in nonoscillation criteria for half-linear differential equations (English)
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16 January 2012
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Summary: We study the half-linear differential equation \[ (r(t)\Phi(x'))' + c(t)\Phi(x) = 0 \text{, where }\Phi(x) = |x|^{p-2}, p > 1. \] Using the modified Riccati technique, we derive new nonoscillation criteria for this equation. The results are closely related to the classical Hille-Nehari criteria and allow to replace the fixed constants in known nonoscillation criteria by a certain one-parametric expression.
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