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Abstract We are concerned with the oscillation problem for second-order nonlinear dynamic equations on time scales of the form , where f(x) satisfies if . By means of Riccati technique… Click to show full abstract
Abstract We are concerned with the oscillation problem for second-order nonlinear dynamic equations on time scales of the form , where f(x) satisfies if . By means of Riccati technique and phase plane analysis of a system, (non)oscillation criteria are established. A necessary and sufficient condition for all nontrivial solutions of the Euler–Cauchy dynamic equation to be oscillatory plays a crucial role in proving our results.
Keywords:
nonlinear dynamic;
second order;
time scales;
dynamic equations;
order nonlinear
Journal Title: Journal of Difference Equations and Applications
Year Published: 2017
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Journal Title: Journal of Difference Equations and Applications
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!