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On the oscillation of certain fourth-order differential equations with p-Laplacian like operator
Ist Teil von
Applied mathematics and computation, 2020-12, Vol.386, p.125475, Article 125475
Ort / Verlag
Elsevier Inc
Erscheinungsjahr
2020
Link zum Volltext
Quelle
Alma/SFX Local Collection
Beschreibungen/Notizen
•Oscillation of certain fourth order differential equations.•To study the oscillatory properties of fourth order delay differential equations.•Comparison with first and second order differential equations and Riccati transformations.
The aim of this work is to study the oscillatory properties of the solutions of fourth-order delay differential equations with a p-Laplacian like operator of the form(r(ν)|w″′(ν)|p1−2w″′(ν))′+q(ν)|w(η(ν))|p2−2w(η(ν))=0.The results obtained are based on the comparison with first and second-order differential equations and the use of a Riccati transformation. Some examples are provided to illustrate the main results.