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article · AIMS Mathematics

Improved Kneser-type oscillation criterion for half-linear dynamic equations on time scales

2024Open accessMansoura University

Abstract

<p>We study the Kneser-type oscillation criterion for a class of second-order half-linear functional dynamic equations on an arbitrary time scale utilizing the integral averaging approach and the Riccati transformation method. The results show an improvement in Kneser-type when compared to some known results. We provide some illustrative examples to demonstrate the significance of our main results.</p>

Research topics

  • Nonlinear Differential Equations Analysis
  • Stability and Controllability of Differential Equations
  • Advanced Mathematical Modeling in Engineering

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DOI: 10.3934/math.20241426

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