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

delete2026-02-01
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PRE
AI
P
Petr Hasil
S
Sisolakova, Jirina
M
Michal Veselý *
DOI:10.1007/s12591-026-00758-0delete
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Abstract

Abstract

En 中文
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.
Keywords:
Half-linear
Linear equation
Comparison theorem
Oscillation
Euler type
Riccati technique
Pr & uuml
fer angle

Journal

D
Differential Equations and Dynamical Systems
IF:
0.9
Papers:
26
Citations:
0

Organization

M
masaryk university
Scholars:
2.6K
Papers: 1.1K
Citations: 0