Oscillation for Nonlinear Second Order Dynamic Equations on a Time Scale
We obtain some oscillation criteria for solutions to the nonlinear dynamic equation xΔΔ+q(t)xΔσ+p(t)(f○xσ)=0, on time scales. In particular, no explicit sign assumptions are made with respect to the coefficients p(t), q(t). We illustrate the results by several examples, including a superlinear Emden-Fowler dynamic equation.
E. Lynn et al., "Oscillation for Nonlinear Second Order Dynamic Equations on a Time Scale," Journal of Mathematical Analysis and Applicaitons, Elsevier, Jan 2004.
The definitive version is available at https://doi.org/10.1016/j.jmaa.2004.07.038
Mathematics and Statistics
Keywords and Phrases
Dynamic equation; Oscillation; Time scales
Article - Journal
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