Nonoscillatory Solutions of Second-Order Superlinear Dynamic Equations with Integrable Coefficients. (6th February 2012)

• Record Type: Journal Article
• Authors: Lin, Quanwen; Jia, Baoguo
• Other Names: Anderson D. Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2012(2012)
• Publication Date: 2012-02-06
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2012/812165
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : The asymptotic behavior of nonoscillatory solutions of the superlinear dynamic equation on time scales ( r ( t ) x Δ ( t ) ) Δ + p ( t ) | x ( σ ( t ) ) | γ sgn x ( σ ( t ) ) = 0, γ > 1, is discussed under the condition that P ( t ) = lim τ → ∞ ∫ t τ p ( s ) Δ s exists and P ( t ) ≥ 0 for large t .