On the oscillations of the solutions for a class of second order nonlinear functional dynamic equations on time scales with unbounded neutral coefficients

This article is devoted to studying a class of second order nonlinear dynamic equations on time scales with unbounded neutral coefficients. We give some sufficient conditions for the oscillations of solutions for the investigated dynamic equations. The main tool to prove our main results is a genera...

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Bibliographic Details
Published in:Rendiconti del Circolo matematico di Palermo 2023-06, Vol.72 (4), p.2643-2652
Main Authors: Beniani, A., Cherif, A. Benaissa
Format: Article
Language:English
Subjects:
Algebra
Analysis
Applications of Mathematics
Geometry
Mathematical analysis
Mathematics
Mathematics and Statistics
Nonlinear dynamics
Oscillations
Time
Citations: Items that this one cites
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Description
Summary:This article is devoted to studying a class of second order nonlinear dynamic equations on time scales with unbounded neutral coefficients. We give some sufficient conditions for the oscillations of solutions for the investigated dynamic equations. The main tool to prove our main results is a generalized Riccati transformation. Our results are provided with examples.
ISSN:0009-725X
1973-4409
DOI:10.1007/s12215-022-00813-z