Oscillation of second-order quasilinear retarded difference equations via canonical transform

We study the oscillatory behavior of the second-order quasi-linear retarded difference equation \Delta(p(n)(\Delta y(n))^\alpha)+\eta(n) y^\beta(n- k)=0 under the condition $\sum_{n=n_0}^\infty p^{-\frc1{\alpha}}(n)<\infty$ (i.e., the noncanonical form). Unlike most existing results, th...

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Bibliographic Details
Main Authors: George E. Chatzarakis, Deepalakshmi Rajasekar, Saravanan Sivagandhi, Ethiraju Thandapani
Format: Article
Language:English
Published: Institute of Mathematics of the Czech Academy of Science 2024-04-01
Series:Mathematica Bohemica
Subjects:
Online Access:https://mb.math.cas.cz/full/149/1/mb149_1_4.pdf