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

Warning

This publication doesn't include Faculty of Education. It includes Faculty of Science. Official publication website can be found on muni.cz.

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.
Related projects:	Diferenční rovnice a dynamické rovnice na time scales III Zaměstnáním nejlepších mladých vědců k rozvoji mezinárodní spolupráce