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

• 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
• 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