We study oscillatory and asymptotic properties of the third-order nonlinear dynamic equation
By using the Riccati transformation, we present new criteria for the oscillation or certain asymptotic behavior of solutions of this equation. It is supposed that the time scale T is unbounded above.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 65, No. 7, pp. 996–1004, July, 2013.
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Şenel, M.T. On the Behavior of Solutions of a Third-Order Nonlinear Dynamic Equation on Time Scales. Ukr Math J 65, 1111–1121 (2013). https://doi.org/10.1007/s11253-013-0845-z
- Dynamic Equation
- Nonoscillatory Solution
- Riccati Transformation
- Nonoscillation Criterion
- Dynamic Functional Equation