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<p>We establish two comparison theorems for modified Euler type linear and half-linear differential equations with perturbations in both terms. The presented comparison theorems imply the oscillation and non-oscillation of equations in the studied form applying previously known oscillation and non-oscillation criteria, respectively. Thus, we enlarge the set of analyzed equations whose oscillation behavior is known.</p>

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Comparison theorems for perturbed modified Euler type linear and half-linear differential equations

  • 期刊论文

  • 发表日期：

    2026年2月28日

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  • Petr Hasil,
  • Jiřina Šišoláková,
  • Michal Veselý

摘要

We establish two comparison theorems for modified Euler type linear and half-linear differential equations with perturbations in both terms. The presented comparison theorems imply the oscillation and non-oscillation of equations in the studied form applying previously known oscillation and non-oscillation criteria, respectively. Thus, we enlarge the set of analyzed equations whose oscillation behavior is known.