On the Existence and the Asymptotic Behavior of Nonoscillatory Solutions of Second Order Quasilinear Difference Equations

DOI10.1619/FESI.56.81zbMath1282.39005OpenAlexW2029224154MaRDI QIDQ5301084

Ravi P. Agarwal, Jelena V. Manojlovic

Publication date: 2 July 2013

Published in: Funkcialaj Ekvacioj (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1619/fesi.56.81

zbMATH Keywords

positive solutions Schauder fixed point theorem nonoscillatory solutions asymptotic form Emden-Fowler difference equations slowly decaying solutions Karamata integration theorem second-order quasilinear difference equation regularly varying sequences slowly growing solutions

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Additive difference equations (39A10) Discrete version of topics in analysis (39A12) Growth, boundedness, comparison of solutions to difference equations (39A22) Oscillation theory for difference equations (39A21)

Related Items (7)

An asymptotic analysis of nonoscillatory solutions of \(q\)-difference equations via \(q\)-regular variation ⋮ Decaying solutions for discrete boundary value problems on the half line ⋮ Regularly varying sequences and Emden–Fowler type second-order difference equations ⋮ Existence of positive strongly decaying solutions of second-order nonlinear q-difference equations ⋮ On nonoscillatory solutions of Emden-Fowler dynamic systems on time scales ⋮ Asymptotic formulae for solutions of linear second-order difference equations ⋮ Positive strongly decreasing solutions of Emden-Fowler type second-order difference equations with regularly varying coefficients

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