Oscillation and non-oscillation of asymptotically almost periodic half-linear difference equations

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Authors	VESELÝ Michal HASIL Petr
Year of publication	2013
Type	Article in Periodical
Magazine / Source	Abstract and Applied Analysis
MU Faculty or unit	Faculty of Science
Citation
Web	http://www.hindawi.com/journals/aaa/2013/432936/
Doi	http://dx.doi.org/10.1155/2013/432936
Field	General mathematics
Keywords	asymptotic almost periodicity; half-linear difference equations; oscillation constant
Description	We analyse half-linear difference equations with asymptotically almost periodic coefficients. Using the adapted Riccati transformation, we prove that these equations are conditionally oscillatory. We explicitly find an oscillation constant.
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