Kiguradze-type Oscillation Theorems for Second Order Superlinear Dynamic Equations on Time Scales
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Bibliographic record
Abstract
Abstract Consider the second order superlinear dynamic equation where p ∈ C ( , ℝ), is a time scale, ƒ : ℝ → ℝ is continuously differentiable and satisfies ƒ ′( x ) > 0, and x ƒ ( x ) > 0 for x ≠ 0. Furthermore, f ( x ) also satisfies a superlinear condition, which includes the nonlinear function ƒ ( x ) = x α with α > 1, commonly known as the Emden–Fowler case. Here the coefficient function p ( t ) is allowed to be negative for arbitrarily large values of t . In addition to extending the result of Kiguradze for (∗) in the real case = ℝ, we obtain analogues in the difference equation and q -difference equation cases.
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| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.003 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
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| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.055 | 0.011 |
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