Oscillation and Boundedness of Solutions to First and Second Order Forced Dynamic Equations with Mixed Nonlinearities
Some oscillation and boundedness criteria for solutions to certain first and second order forced dynamic equations with mixed nonlinearities are established. The main tool in the proofs is an inequality due to Hardy, Littlewood and Pólya. The obtained results can be applied to differential equations, difference equations and q-difference equations. The results are illustrated with numerous examples.
R. P. Agarwal and M. Bohner, "Oscillation and Boundedness of Solutions to First and Second Order Forced Dynamic Equations with Mixed Nonlinearities," The Australian Journal of Mathematical Analysis and Applications, Austral Internet Publishing, Jan 2008.
Mathematics and Statistics
Keywords and Phrases
Dynamic equation; mixed nonlinear; nonhomogeneous; oscillation; time scale
Article - Journal
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