@article{Şenel_2013, title={On the Behavior of Solutions of a Third-Order Nonlinear Dynamic Equation on Time Scales}, volume={65}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/2484}, abstractNote={We study oscillatory and asymptotic properties of the third-order nonlinear dynamic equation <span class="a-plus-plus equation id-equa"> <span class="a-plus-plus equation-source format-t-e-x">$$ {\left[ {\left( {\frac{1}{r_2}(t) }{\left( {\left( {\frac{1}{r_1}(t) }{x^{\varDelta }(t)} \right) }^{\gamma_1 } \right) }^{\varDelta } \right) }^{\gamma_2 } \right]}^{\varDelta }+f\left( {t,{x^{\sigma }(t)} \right)=0,\quad t\in \mathbb{T}. $$</span> </span&gt;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.}, number={7}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Şenel, M. T.}, year={2013}, month={Jul.}, pages={996–1004} }