Oscillation and Nonoscillation of Asymptotically Almost Periodic Half-Linear Difference Equations. (12th June 2013)

• Record Type: Journal Article
• Authors: Veselý, Michal; Hasil, Petr
• Other Names: Dosly Ondrej Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2013(2013)
• Publication Date: 2013-06-12
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2013/432936
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : 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 a constant, determined by the coefficients of a given equation, which is the borderline between the oscillation and the nonoscillation of the equation. We also mention corollaries of our result with several examples.