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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